{"article_info":{"article_id":175851,"cat_id":1612,"cat_title":"Đề thi, đề kiểm tra Toán lớp 8 - Kết nối tri thức","publish_time":1729766100,"cat_id2":1612,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2024/1024/resize_3-0_1.png","title":"Đề thi giữa kì 1 Toán 8 Kết nối tri thức - Đề số 7","label":"Đề thi giữa kì 1 - Đề số 7","alias":"de-thi-giua-ki-1-toan-8-ket-noi-tri-thuc-de-so-7","introtext":"Phần trắc nghiệm (3 điểm) Chọn câu trả lời đúng trong mỗi câu sau:\r\nCâu 1: Trong các biểu thức đại số sau, biểu thức nào không phải đơn thức?","content":"<style>\n    .main {width: 1200px}\n\n    .question-content {\n        margin-bottom: 10px;\n        font-size: 16px;\n    }\n\n    .question-content-inner img {\n        display: block;\n    }\n\n    .question-index-number {\n        font-weight: bold;\n        font-size: 16px;\n        margin-right: 3px;\n    }\n\n    .question-content-inner .question-index-number {\n        font-weight: bold;\n        font-size: 16px;\n        margin-right: 3px;\n    }\n\n    .question-title {\n        margin-top: 10px;\n    }\n\n    .question-title .question-index-number {\n        font-weight: bold;\n        font-size: 16px;\n        margin-right: 8px;\n    }\n\n    .btn-control-answer-wrap {\n        display: none;\n    }\n\n    .btnShowHide {\n        font-size: 16px;\n        margin: 0 auto;\n    }\n\n    .loigiai {\n        margin: 10px 0;\n    }\n\n    .anwsers-title, .solution-suggesstion-title, .solution-detail-title {\n        font-size: 16px;\n        line-height: 28px;\n        font-weight: bold;\n        margin: 10px 0;\n    }\n\n    .question {\n        border-bottom: none;\n        padding-bottom: 5px;\n    }\n\n    p:empty {\n        height: 0;\n        margin: 0;\n        padding: 0;\n    }\n\n    .question {\n        margin-bottom: 0;\n    }\n\n    .dapan {\n        padding: 0;\n        margin-left: 0;\n        margin-bottom: 5px;\n    }\n\n    .dapan.rows-4 li:last-child {\n        margin-bottom: 5px;\n    }\n\n    .dapan li {\n        padding: 0;\n        list-style: none;\n        display: flex;\n        margin-bottom: 6px;\n    }\n\n    .dapan span.span-answer {\n        width: 30px;\n        height: 26px;\n        background: #e1e1e1;\n        font-weight: 700;\n        border-radius: 70px;\n        margin-right: 10px;\n        display: inline-block;\n        text-align: center;\n    }\n\n    .question img {\n        max-width: 100%;\n    }\n</style>\n\n<style>\n    .exam-part-title {\n        font-size: 24px;\n        font-weight: bold;\n        padding: 10px 10px 10px 0;\n        border-bottom: 2px dashed #e0e0e0;\n        margin-bottom: 10px;\n    }\n\n    .exam-part-desc {\n        font-size: 16px;\n        font-weight: bold;\n        padding: 5px;\n        margin-bottom: 10px;\n    }\n\n    .text-center {\n        text-align: center;\n    }\n\n    .question-32-content-inner {\n        display: flex;justify-content: space-between;\n    }\n    .question-32-content-item {\n        display: block; padding: 10px; background-color: #f1ead8; margin: 10px 0;\n    }\n</style>\n            <div class=\"exam-part-title\">\n                I. Trắc nghiệm            </div>\n            <div class=\"exam-part-desc\">\n                Chọn câu trả lời đúng trong mỗi câu sau:            </div>\n            <div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 1 : </strong>\n                    <p>Trong c&aacute;c biểu thức đại số sau, biểu thức n&agrave;o kh&ocirc;ng phải đơn thức?</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(x - 2\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(\\frac{3}{4}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(2{x^5}{y^3}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(3xy\\).</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : A</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Dựa v&agrave;o kh&aacute;i niệm của đơn thức: Đơn thức l&agrave; biểu thức đại số chỉ gồm một số hoặc một biến, hoặc c&oacute; dạng t&iacute;ch của những số v&agrave; biến.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>C&aacute;c biểu thức \\(\\frac{3}{4}\\); \\(2{x^5}{y^3}\\); \\(3xy\\) l&agrave; c&aacute;c đơn thức.</p>\n<p>Biểu thức \\(x - 2\\) l&agrave; đa thức.</p>\n<p><strong>Đ&aacute;p &aacute;n A.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 2 : </strong>\n                    <p>Biểu thức n&agrave;o sau đ&acirc;y l&agrave; đơn thức thu gọn?</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(xyz + xz\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>\\( - 5x{y^2}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(2\\left( {{x^2} + {y^2}} \\right)\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>\\( - 3x4yxz\\).</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : B</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Đơn thức thu gọn l&agrave; đơn thức chỉ gồm một số, hoặc c&oacute; dạng t&iacute;ch của một số với những biến, mỗi biến chỉ xuất hiện một lần v&agrave; đ&atilde; được n&acirc;ng l&ecirc;n lũy thừa với số mũ nguy&ecirc;n dương.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>\\(xyz + xz\\) v&agrave; \\(2\\left( {{x^2} + {y^2}} \\right)\\) l&agrave; c&aacute;c đa thức n&ecirc;n loại đ&aacute;p &aacute;n A, C.</p>\n<p>\\( - 5x{y^2}\\) l&agrave; đơn thức thu gọn n&ecirc;n đ&aacute;p &aacute;n B đ&uacute;ng.</p>\n<p>Đ&aacute;p &aacute;n D, \\( - 3x4yxz\\) l&agrave; đơn thức nhưng biến \\(x\\) xuất hiện 2 lần n&ecirc;n kh&ocirc;ng phải đơn thức thu gọn.</p>\n<p><strong>Đ&aacute;p &aacute;n B.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 3 : </strong>\n                    <p>Bậc của đa thức \\({x^2}{y^5} - {x^2}{y^4} + {y^6} - 1\\) l&agrave;</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>4.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>5.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>6.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>7.</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : D</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>X&aacute;c định bậc của từng hạng tử trong đa thức. Bậc lớn nhất ch&iacute;nh l&agrave; bậc của đa thức.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>Ta c&oacute;:</p>\n<p>\\({x^2}{y^5}\\) c&oacute; bậc l&agrave; 2 + 5 = 7.</p>\n<p>\\( - {x^2}{y^4}\\) c&oacute; bậc l&agrave; 2 + 4 = 6.</p>\n<p>\\({y^6}\\) c&oacute; bậc l&agrave; 6.</p>\n<p>\\( - 1\\) c&oacute; bậc l&agrave; 0.</p>\n<p>Vậy bậc của đa thức l&agrave; 7.</p>\n<p><strong>Đ&aacute;p &aacute;n D.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 4 : </strong>\n                    <p>Cặp đơn thức n&agrave;o sau đ&acirc;y kh&ocirc;ng đồng dạng?</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(7{x^3}y\\) v&agrave; \\(\\frac{1}{{15}}{x^3}y\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(5{x^2}{y^3}\\) v&agrave; \\( - 2{x^3}{y^2}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>\\( - \\frac{1}{4}{\\left( {xy} \\right)^2}y\\) v&agrave; \\(16{x^2}{y^3}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(a{x^2}y\\) v&agrave; \\(2b{x^2}y\\) (a, b l&agrave; c&aacute;c hằng số kh&aacute;c 0).</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : B</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Hai đơn thức đồng dạng l&agrave; hai đơn thức với hệ số kh&aacute;c 0 v&agrave; c&oacute; phần biến giống nhau.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>Đơn thức \\(7{x^3}y\\) v&agrave; \\(\\frac{1}{{15}}{x^3}y\\) l&agrave; hai đơn thức đồng dạng v&igrave; c&oacute; c&ugrave;ng phần biến \\({x^3}y\\).</p>\n<p>Đơn thức \\( - \\frac{1}{4}{\\left( {xy} \\right)^2}y =&nbsp; - \\frac{1}{4}{x^2}{y^3}\\) v&agrave; \\(16{x^2}{y^3}\\) l&agrave; hai đơn thức đồng dạng v&igrave; c&oacute; c&ugrave;ng phần biến \\({x^2}{y^3}\\).</p>\n<p>Đơn thức \\(a{x^2}y\\) v&agrave; \\(2b{x^2}y\\) (a, b l&agrave; c&aacute;c hằng số kh&aacute;c 0) l&agrave; hai đơn thức đồng dạng v&igrave; c&oacute; c&ugrave;ng phần biến \\({x^2}y\\).</p>\n<p>Đơn thức \\(5{x^2}{y^3}\\) v&agrave; \\( - 2{x^3}{y^2}\\) kh&ocirc;ng đồng dạng v&igrave; phần biến \\({x^2}{y^3} \\ne {x^3}{y^2}\\).</p>\n<p><strong>Đ&aacute;p &aacute;n B.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 5 : </strong>\n                    <p>Đơn thức thu gọn của đơn thức \\(\\left( {3{x^2}y} \\right)\\left( {x{y^2}} \\right){y^3}\\) l&agrave;</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(5{x^3}{y^5}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(3{x^3}{y^5}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(3{x^3}{y^6}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(3{x^2}{y^5}\\).</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : C</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Ta c&oacute; thể thu gọn ch&uacute;ng bằng c&aacute;ch &aacute;p dụng c&aacute;c t&iacute;nh chất của ph&eacute;p nh&acirc;n v&agrave; ph&eacute;p n&acirc;ng l&ecirc;n lũy thừa.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>Ta c&oacute;:</p>\n<p>\\(\\left( {3{x^2}y} \\right)\\left( {x{y^2}} \\right){y^3} = 3{x^2}y.x{y^2}.{y^3} = 3{x^3}{y^6}\\).</p>\n<p><strong>Đ&aacute;p &aacute;n C.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 6 : </strong>\n                    <p>Trong c&aacute;c khẳng định sau, khẳng định đ&uacute;ng l&agrave;</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(\\left( {A - B} \\right)\\left( {A + B} \\right) = {A^2} + 2AB + {B^2}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(\\left( {A + B} \\right)\\left( {A - B} \\right) = {A^2} - 2AB + {B^2}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(\\left( {A + B} \\right)\\left( {A - B} \\right) = {A^2} - {B^2}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(\\left( {A + B} \\right)\\left( {A - B} \\right) = {A^2} + {B^2}\\).</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : C</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Dựa v&agrave;o hằng đẳng thức hiệu hai b&igrave;nh phương: \\({A^2} - {B^2} = \\left( {A - B} \\right)\\left( {A + B} \\right)\\)</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>Khẳng định C đ&uacute;ng, v&igrave; \\(\\left( {A + B} \\right)\\left( {A - B} \\right) = {A^2} - {B^2}\\).</p>\n<p><strong>Đ&aacute;p &aacute;n C.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 7 : </strong>\n                    <p>Khai triển \\({\\left( {3x + 4y} \\right)^2}\\), ta được:</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(9{x^2} + 24xy + 16{y^2}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(9{x^2} + 24xy + 4{y^2}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(9{x^2} + 12xy + 16{y^2}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(9{x^2} + 6xy + 16{y^2}\\).</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : A</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Sử dụng hằng đẳng thức b&igrave;nh phương của một tổng: \\({\\left( {A + B} \\right)^2} = {A^2} + 2AB + {B^2}\\).</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>\\(\\begin{array}{l}{\\left( {3x + 4y} \\right)^2}\\\\ = {\\left( {3x} \\right)^2} + 2.3x.4y + {\\left( {4y} \\right)^2}\\\\ = 9{x^2} + 24xy + 16{y^2}.\\end{array}\\)</p>\n<p><strong>Đ&aacute;p &aacute;n A.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 8 : </strong>\n                    <p>Viết biểu thức \\(25{x^2} - 20xy + 4{y^2}\\) dưới dạng b&igrave;nh phương của một hiệu.</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>\\({\\left( {5x + 2y} \\right)^2}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>\\({\\left( {2x - 5y} \\right)^2}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>\\({\\left( {25x - 4y} \\right)^2}\\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>\\({\\left( {5x - 2y} \\right)^2}\\).</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : D</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Sử dụng hằng đẳng thức b&igrave;nh phương của một hiệu: \\({\\left( {A - B} \\right)^2} = {A^2} - 2AB + {B^2}\\).</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>\\(\\begin{array}{l}25{x^2} - 20xy + 4{y^2}\\\\ = {\\left( {5x} \\right)^2} - 2.5x.2y + {\\left( {2y} \\right)^2}\\\\ = {\\left( {5x - 2y} \\right)^2}.\\end{array}\\)</p>\n<p><strong>Đ&aacute;p &aacute;n D.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 9 : </strong>\n                    <p>Ch&#x1ECD;n c&#xE2;u &#x111;&#xFA;ng nh&#x1EA5;t trong c&#xE1;c c&#xE2;u sau khi &#x111;&#x1ECB;nh ngh&#x129;a t&#x1EE9; gi&#xE1;c ABCD.</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>Tứ gi&aacute;c ABCD l&agrave; h&igrave;nh gồm bốn đoạn thẳng AB, BC, CD, DA.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>Tứ gi&aacute;c ABCD l&agrave; h&igrave;nh gồm bốn đoạn thẳng AB, BC, CD, DA, trong đ&oacute; bất k&igrave; hai đoạn thẳng n&agrave;o cũng kh&ocirc;ng nằm tr&ecirc;n c&ugrave;ng nằm tr&ecirc;n một đường thẳng.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>Tứ gi&aacute;c ABCD l&agrave; h&igrave;nh gồm bốn đoạn thẳng AB, BC, CD, DA trong đ&oacute; hai đoạn thẳng kề một đỉnh song song với nhau.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>Tứ gi&aacute;c ABCD l&agrave; h&igrave;nh gồm bốn đoạn thẳng AB, BC, CD, DA v&agrave; bốn g&oacute;c tại đỉnh bằng nhau.</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : B</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Tứ gi&aacute;c l&agrave; h&igrave;nh gồm bốn đoạn thẳng, trong đ&oacute; kh&ocirc;ng c&oacute; hai đoạn thẳng n&agrave;o c&ugrave;ng nằm tr&ecirc;n một đường thẳng.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>T&#x1EE9; gi&#xE1;c ABCD l&#xE0; h&#xEC;nh g&#x1ED3;m b&#x1ED1;n &#x111;o&#x1EA1;n th&#x1EB3;ng AB, BC, CD, DA, trong &#x111;&#xF3; b&#x1EA5;t k&#xEC; hai &#x111;o&#x1EA1;n th&#x1EB3;ng n&#xE0;o c&#x169;ng kh&#xF4;ng n&#x1EB1;m tr&#xEA;n c&#xF9;ng n&#x1EB1;m tr&#xEA;n m&#x1ED9;t &#x111;&#x1B0;&#x1EDD;ng th&#x1EB3;ng.</p>\n<p><strong>&#x110;&#xE1;p &#xE1;n B.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 10 : </strong>\n                    <p>Cho tứ gi&aacute;c ABCD c&oacute; \\(\\widehat A = 60^\\circ ;\\widehat B = 135^\\circ ,\\widehat D = 29^\\circ \\). Số đo g&oacute;c C bằng</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(137^\\circ \\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(136^\\circ \\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(36^\\circ \\).</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>\\(135^\\circ \\).</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : B</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Dựa v&agrave;o định l&iacute; tổng c&aacute;c g&oacute;c của một tứ gi&aacute;c bằng \\(360^\\circ \\).</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>Số đo g&oacute;c C l&agrave;:</p>\n<p>\\(\\widehat C = 360^\\circ&nbsp; - \\widehat A - \\widehat B - \\widehat D = 360^\\circ&nbsp; - 60^\\circ&nbsp; - 135^\\circ&nbsp; - 29^\\circ&nbsp; = 136^\\circ .\\)</p>\n<p><strong>Đ&aacute;p &aacute;n B.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 11 : </strong>\n                    <p>C&acirc;u n&agrave;o sau đ&acirc;y l&agrave; đ&uacute;ng khi n&oacute;i về h&igrave;nh thang:</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>H&igrave;nh thang l&agrave; tứ gi&aacute;c c&oacute; hai cạnh đối song song.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>H&igrave;nh thang l&agrave; tứ gi&aacute;c c&oacute; hai cạnh đối bằng nhau.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>H&igrave;nh thang l&agrave; tứ gi&aacute;c c&oacute; hai cạnh kề bằng nhau.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>H&igrave;nh thang l&agrave; tứ gi&aacute;c c&oacute; một g&oacute;c vu&ocirc;ng.</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : A</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Kh&aacute;i niệm h&igrave;nh thang: H&igrave;nh thang l&agrave; tứ gi&aacute;c c&oacute; hai cạnh đối song song.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>Theo kh&aacute;i niệm h&igrave;nh thang th&igrave; h&igrave;nh thang l&agrave; tứ gi&aacute;c c&oacute; hai cạnh đối song song.</p>\n<p><strong>Đ&aacute;p &aacute;n A.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 12 : </strong>\n                    <p>H&atilde;y chọn c&acirc;u <strong>sai</strong>.</p>                </div>\n            </div>\n            \n    <ul class=\"dapan rows-4\">\n                        <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">A</span>\n                    <div style=\"width: 90%\">\n                        <p>H&igrave;nh b&igrave;nh h&agrave;nh c&oacute; hai đường ch&eacute;o cắt nhau tại trung điểm của mỗi đường.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">B</span>\n                    <div style=\"width: 90%\">\n                        <p>H&igrave;nh b&igrave;nh h&agrave;nh c&oacute; hai g&oacute;c đối bằng nhau.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">C</span>\n                    <div style=\"width: 90%\">\n                        <p>H&igrave;nh b&igrave;nh h&agrave;nh c&oacute; hai đường ch&eacute;o vu&ocirc;ng g&oacute;c với nhau.</p>                    </div>\n                </li>\n                                <li>\n                    <span class=\"span-answer\" style=\"padding-top: 0;\">D</span>\n                    <div style=\"width: 90%\">\n                        <p>H&igrave;nh b&igrave;nh h&agrave;nh c&oacute; hai cặp cạnh đối song song.</p>                    </div>\n                </li>\n                    </ul>\n\n    <div class=\"loigiai\">\n        <p><strong>Đáp án : C</strong></p>\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Dựa v&agrave;o kh&aacute;i niệm v&agrave; t&iacute;nh chất của h&igrave;nh b&igrave;nh h&agrave;nh.</p>\n<p>H&igrave;nh b&igrave;nh h&agrave;nh l&agrave; tứ gi&aacute;c c&oacute; c&aacute;c cạnh đối song song.</p>\n<p>Trong h&igrave;nh b&igrave;nh h&agrave;nh:</p>\n<p>- C&aacute;c cạnh đối bằng nhau;</p>\n<p>- C&aacute;c g&oacute;c đối bằng nhau;</p>\n<p>- Hai đường ch&eacute;o cắt nhau tại trung điểm của mỗi đường.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>H&igrave;nh b&igrave;nh h&agrave;nh kh&ocirc;ng c&oacute; t&iacute;nh chất hai đường ch&eacute;o vu&ocirc;ng g&oacute;c với nhau n&ecirc;n C sai.</p>\n<p><strong>Đ&aacute;p &aacute;n C.</strong></p>                    </div>\n                </div>\n                \n    </div>\n\n</div>            <div class=\"exam-part-title\">\n                II. Tự luận            </div>\n            <div class=\"exam-part-desc\">\n                            </div>\n            <div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 1 : </strong>\n                    <p>a) T&iacute;nh gi&aacute; trị của biểu thức \\({x^2} + 4xy + 4{y^2}\\) tại \\(x = 4;y = 3\\).</p>\n<p>b) T&iacute;nh nhanh: \\(198.202\\).</p>                </div>\n            </div>\n            \n    <div class=\"loigiai\">\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>a) Đưa biểu thức về hằng đẳng thức b&igrave;nh phương của một tổng rồi thay gi&aacute; trị của x, y để t&iacute;nh.</p>\n<p>b) Sử dụng hằng đẳng thức hiệu hai b&igrave;nh phương để t&iacute;nh nhanh.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>a) Ta c&oacute;: \\({x^2} + 4xy + 4{y^2} = {\\left( {x + 2y} \\right)^2}\\)</p>\n<p>Thay \\(x = 4;y = 3\\) v&agrave;o biểu thức, ta được:</p>\n<p>\\({\\left( {4 + 2.3} \\right)^2} = {10^2} = 100\\).</p>\n<p>b) Ta c&oacute;:</p>\n<p>\\(198.202 = \\left( {200 - 2} \\right)\\left( {200 + 2} \\right) = {200^2} - {2^2} = 40\\,000 - 4 = 3\\,996\\)</p>                    </div>\n                </div>\n                \n    </div>\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 2 : </strong>\n                    <p>Thực hiện ph&eacute;p t&iacute;nh</p>\n<p>a) \\( - 2{x^3}{y^4}.\\left( {3xy - 5x{y^2}} \\right)\\).</p>\n<p>b) \\(\\left( {3x - 5y} \\right)\\left( {3x + 5y} \\right)\\).</p>                </div>\n            </div>\n            \n    <div class=\"loigiai\">\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>a) Sử dụng quy tắc nh&acirc;n đơn thức với đa thức.</p>\n<p>b) &Aacute;p dụng hằng đẳng thức hiệu hai b&igrave;nh phương: \\(\\left( {A - B} \\right)\\left( {A + B} \\right) = {A^2} - {B^2}\\).</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>a) \\( - 2{x^3}{y^4}.\\left( {3xy - 5x{y^2}} \\right)\\)</p>\n<p>\\(\\begin{array}{l} = &nbsp;- 2{x^3}{y^4}.3xy - 2{x^3}{y^4}\\left( { - 5x{y^2}} \\right)\\\\ =&nbsp; - 6{x^4}{y^5} + 10{x^4}{y^6}\\end{array}\\)</p>\n<p>b) \\(\\left( {3x - 5y} \\right)\\left( {3x + 5y} \\right)\\)</p>\n<p>\\(\\begin{array}{l} = {\\left( {3x} \\right)^2} - {\\left( {5y} \\right)^2}\\\\ = 9{x^2} - 25{y^2}\\end{array}\\)</p>                    </div>\n                </div>\n                \n    </div>\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 3 : </strong>\n                    <p>Cho hai đa thức \\(A = 2{x^5} - {x^2}{y^3} - 3{x^2}y\\) v&agrave; \\(B = {x^5} + 3{x^2}{y^3} - 3{x^2}y + 3\\)</p>\n<p>a) T&igrave;m đa thức M sao cho M = A + B.</p>\n<p>b) T&igrave;m đa thức N sao cho A + N = B.</p>                </div>\n            </div>\n            \n    <div class=\"loigiai\">\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>a) Sử dụng quy tắc cộng hai đa thức.</p>\n<p>b) Sử dụng quy tắc chuyển về v&agrave; trừ hai đa thức.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>a) \\(M = A + B\\)</p>\n<p>\\(\\begin{array}{l} = 2{x^5} - {x^2}{y^3} - 3{x^2}y + {x^5} + 3{x^2}{y^3} - 3{x^2}y + 3\\\\ = \\left( {2{x^5} + {x^5}} \\right) + \\left( { - {x^2}{y^3} + 3{x^2}{y^3}} \\right) - \\left( {3{x^2}y + 3{x^2}y} \\right) + 3\\\\ = 3{x^5} + 2{x^2}{y^3} - 6{x^2}y + 3\\end{array}\\)</p>\n<p>b) V&igrave; \\(A + N = B\\) n&ecirc;n \\(N = B - A\\)</p>\n<p>\\(\\begin{array}{l}N = \\left( {{x^5} + 3{x^2}{y^3} - 3{x^2}y + 3} \\right) - \\left( {2{x^5} - {x^2}{y^3} - 3{x^2}y} \\right)\\\\ = {x^5} + 3{x^2}{y^3} - 3{x^2}y + 3 - 2{x^5} + {x^2}{y^3} + 3{x^2}y\\\\ = \\left( {{x^5} - 2{x^5}} \\right) + \\left( {3{x^2}{y^3} + {x^2}{y^3}} \\right) - \\left( {3{x^2}y - 3{x^2}y} \\right) + 3\\\\ =&nbsp; - {x^5} + 4{x^2}{y^3} + 3\\end{array}\\)</p>                    </div>\n                </div>\n                \n    </div>\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 4 : </strong>\n                    <p>Cho h&igrave;nh thang c&acirc;n ABCD (AB // CD, AB &lt; CD). Đường thẳng AD cắt đường thẳng BC tại O.</p>\n<p>a) Chứng minh tam gi&aacute;c OAB c&acirc;n.</p>\n<p>b) Gọi P, Q lần lượt l&agrave; trung điểm của AB v&agrave; CD. Chứng minh rằng ba điểm O, P, Q thẳng h&agrave;ng.</p>\n<p>c) Qua điểm M bất k&igrave; thuộc cạnh AC, vẽ đường thẳng song song với CD. Đường thẳng đ&oacute; cắt BD tại N. Chứng minh rằng tứ gi&aacute;c MNAB v&agrave; tứ gi&aacute;c MNDC l&agrave; c&aacute;c h&igrave;nh thang c&acirc;n.</p>                </div>\n            </div>\n            \n    <div class=\"loigiai\">\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>a) Chứng minh tam gi&aacute;c OAB c&oacute; \\(\\widehat {OAB} = \\widehat {OBA}\\) n&ecirc;n l&agrave; tam gi&aacute;c c&acirc;n.</p>\n<p>b) Chứng minh OP v&agrave; OQ c&ugrave;ng vu&ocirc;ng g&oacute;c với CD, dựa v&agrave;o ti&ecirc;n đề Euclid suy ra O, P, Q thẳng h&agrave;ng.</p>\n<p>c) Chứng minh MNAB c&oacute; hai cạnh đối song song n&ecirc;n l&agrave; h&igrave;nh thang.</p>\n<p>M&agrave; h&igrave;nh thang c&oacute; hai đường ch&eacute;o bằng nhau l&agrave; h&igrave;nh thang c&acirc;n.</p>\n<p>Chứng minh MNDC c&oacute; hai cạnh đối song song n&ecirc;n l&agrave; h&igrave;nh thang.</p>\n<p>M&agrave; h&igrave;nh thang c&oacute; hai g&oacute;c ở đ&aacute;y bằng nhau n&ecirc;n l&agrave; h&igrave;nh thang c&acirc;n.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p><img src=\"data:image/png;base64,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\" /></p><p>a) V&igrave; ABCD l&agrave; h&igrave;nh thang c&acirc;n n&ecirc;n \\(\\widehat C = \\widehat D\\) (hai g&oacute;c kề một đ&aacute;y)</p>\n<p>Suy ra \\(\\Delta OCD\\) c&acirc;n tại O.</p>\n<p>M&agrave; AB // CD (gt) n&ecirc;n \\(\\widehat {OAB} = \\widehat D = \\widehat C = \\widehat {OBA}\\) (c&aacute;c cặp g&oacute;c đồng vị)</p>\n<p>Suy ra \\(\\Delta OAB\\) c&acirc;n tại O.</p>\n<p>b) V&igrave; P l&agrave; trung điểm của AB n&ecirc;n OP l&agrave; đường trung tuyến của tam gi&aacute;c c&acirc;n OAB, suy ra OP cũng l&agrave; đường cao của tam gi&aacute;c c&acirc;n OAB.</p>\n<p>Do đ&oacute; \\(OP \\bot AB\\).</p>\n<p>M&agrave; \\(AB//CD\\) n&ecirc;n \\(OP \\bot CD\\) (1)</p>\n<p>V&igrave; Q l&agrave; trung điểm của CD n&ecirc;n OQ l&agrave; đường trung tuyến của tam gi&aacute;c c&acirc;n OCD, suy ra OQ cũng l&agrave; đường cao của tam gi&aacute;c c&acirc;n OCD.</p>\n<p>Do đ&oacute; \\(OQ \\bot CD\\). (2)</p>\n<p>Theo ti&ecirc;n đề Euclid, ta c&oacute; O, P, Q thẳng h&agrave;ng.</p>\n<p>c) X&eacute;t \\(\\Delta ACD\\) v&agrave; \\(\\Delta BDC\\) c&oacute;:</p>\n<p>\\(AC = CD\\) (hai đường ch&eacute;o của h&igrave;nh thang c&acirc;n)</p>\n<p>\\(AD = BC\\) (hai cạnh b&ecirc;n của h&igrave;nh thang c&acirc;n)</p>\n<p>\\(CD\\) chung</p>\n<p>Suy ra \\(\\Delta ACD = \\Delta BDC\\) (c.c.c)</p>\n<p>Suy ra \\(\\widehat {ACD} = \\widehat {BDC}\\) hay \\(\\widehat {MCD} = \\widehat {NDC}\\).</p>\n<p>H&igrave;nh thang MNDC c&oacute; \\(\\widehat {MCD} = \\widehat {NDC}\\) n&ecirc;n MNDC l&agrave; h&igrave;nh thang c&acirc;n.</p>\n<p>Suy ra \\(MC = ND\\)</p>\n<p>M&agrave; \\(AC = BD\\) suy ra \\(AC - MC = BD - ND\\) hay \\(AM = BN\\).</p>\n<p>H&igrave;nh thang MNAB c&oacute; hai đường ch&eacute;o AM v&agrave; BN bằng nhau n&ecirc;n MNAB l&agrave; h&igrave;nh thang c&acirc;n.</p>                    </div>\n                </div>\n                \n    </div>\n</div><div class=\"question\">\n\n                <div class=\"question-content\">\n\n                <div class=\"question-content-inner\">\n                    <strong class=\"question-index-number\">Câu 5 : </strong>\n                    <p>T&iacute;nh nhanh: \\(4\\left( {{3^2} + 1} \\right)\\left( {{3^4} + 1} \\right)\\left( {{3^8} + 1} \\right)\\left( {{3^{16}} + 1} \\right)\\)</p>                </div>\n            </div>\n            \n    <div class=\"loigiai\">\n                        <div class=\"solution-suggesstion\">\n                    <div class=\"solution-suggesstion-title\">Phương pháp giải : </div>\n                    <div>\n                        <p>Đặt \\(A = 4\\left( {{3^2} + 1} \\right)\\left( {{3^4} + 1} \\right)\\left( {{3^8} + 1} \\right)\\left( {{3^{16}} + 1} \\right)\\).</p>\n<p>Nh&acirc;n cả hai vế với 2, ta được \\(2A = 8\\left( {{3^2} + 1} \\right)\\left( {{3^4} + 1} \\right)\\left( {{3^8} + 1} \\right)\\left( {{3^{16}} + 1} \\right)\\).</p>\n<p>Biến đổi \\(8 = {3^2} - 1\\)</p>\n<p>&Aacute;p dụng hằng đẳng thức hiệu hai b&igrave;nh phương để r&uacute;t gọn \\(2A\\), từ đ&oacute; suy ra A.</p>                    </div>\n                </div>\n                                <div class=\"solution-detail\">\n                    <div class=\"solution-detail-title\">Lời giải chi tiết : </div>\n                    <div>\n                        <p>Đặt \\(A = 4\\left( {{3^2} + 1} \\right)\\left( {{3^4} + 1} \\right)\\left( {{3^8} + 1} \\right)\\left( {{3^{16}} + 1} \\right)\\).</p>\n<p>Nh&acirc;n cả hai vế với 2, ta được \\(2A = 8\\left( {{3^2} + 1} \\right)\\left( {{3^4} + 1} \\right)\\left( {{3^8} + 1} \\right)\\left( {{3^{16}} + 1} \\right)\\).</p>\n<p>Ta c&oacute;:</p>\n<p>\\(\\begin{array}{l}2A = 8\\left( {{3^2} + 1} \\right)\\left( {{3^4} + 1} \\right)\\left( {{3^8} + 1} \\right)\\left( {{3^{16}} + 1} \\right)\\\\2A = \\left( {{3^2} - 1} \\right)\\left( {{3^2} + 1} \\right)\\left( {{3^4} + 1} \\right)\\left( {{3^8} + 1} \\right)\\left( {{3^{16}} + 1} \\right)\\\\2A = \\left( {{3^4} - 1} \\right)\\left( {{3^4} + 1} \\right)\\left( {{3^8} + 1} \\right)\\left( {{3^{16}} + 1} \\right)\\\\2A = \\left( {{3^8} - 1} \\right)\\left( {{3^8} + 1} \\right)\\left( {{3^{16}} + 1} \\right)\\\\2A = \\left( {{3^{16}} - 1} \\right)\\left( {{3^{16}} + 1} \\right)\\\\2A = {3^{32}} - 1\\\\A = \\frac{{{3^{32}} - 1}}{2}\\end{array}\\)</p>\n<p>Vậy \\(4\\left( {{3^2} + 1} \\right)\\left( {{3^4} + 1} \\right)\\left( {{3^8} + 1} \\right)\\left( {{3^{16}} + 1} \\right) = \\frac{{{3^{32}} - 1}}{2}\\).</p>                    </div>\n                </div>\n                \n    </div>\n</div>","common_article":"","display_type":5,"vungoi_exam_id":"671a21de12ad797af49f156e","article_type":1,"cmt_count":0,"zip_status":2,"last_modified_time":1729934573,"last_zip_time":0,"picture":"https://img.loigiaihay.com/picture/article/2024/1024/3-0_1.png","youtube_id":"","url_upload_pdf":"https://img.loigiaihay.com/picture/share_img/2024/1024/de-thi-giua-ki-1-toan-8-ket-noi-tri-thuc-de-so-7-1729766785.pdf","video_start_time":"0","quizlet_id":"0","ref_article_id":0,"readmore_display_type":0,"wiki":0,"comment_url":"https://loigiaihay.com/comment/de-thi-giua-ki-1-toan-8-ket-noi-tri-thuc-de-so-7-c1612a175851.html","origin_url":"https://loigiaihay.com/de-thi-giua-ki-1-toan-8-ket-noi-tri-thuc-de-so-7-c1612a175851.html","relate_link":[],"exam_file":"https://img.loigiaihay.com/picture/share_img/2024/1024/de-thi-giua-ki-1-toan-8-ket-noi-tri-thuc-de-so-7-1729766789.pdf","solution_file":"https://img.loigiaihay.com/picture/share_img/2024/1024/de-thi-giua-ki-1-toan-8-ket-noi-tri-thuc-de-so-7-1729766792.pdf"},"callouts":[],"relate_articles":[],"others_in_cat":[{"article_id":175852,"cat_id":1612,"publish_time":1729766100,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2024/1024/resize_3-0_2.png","title":"Đề thi giữa kì 1 Toán 8 Kết nối tri thức - Đề số 8","alias":"de-thi-giua-ki-1-toan-8-ket-noi-tri-thuc-de-so-8","introtext":"Phần trắc nghiệm (3 điểm) Chọn câu trả lời đúng trong mỗi câu sau:\r\nCâu 1: Hệ số của đơn thức $5{{x}^{2}}y.left( -frac{2}{5} right){{y}^{2}}z$ là:","display_type":5,"article_type":1},{"article_id":151798,"cat_id":1612,"publish_time":1697515860,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/1017/resize_1-0_6.png","title":"Tổng hợp 5 đề thi giữa kì 1 Toán 8 kết nối tri thức có đáp án","alias":"tong-hop-de-kiem-tra-giua-hoc-ki-1-toan-8-ket-noi-tri-thuc-co-dap-an-va-loi-giai-chi-tiet","introtext":"Phần trắc nghiệm (4 điểm)\r\n\r\nCâu 1: Tìm hệ số trong đơn thức ( - 36{a^2}{b^2}{x^2}{y^3}) với a,b là hằng số.","display_type":2,"article_type":1},{"article_id":175850,"cat_id":1612,"publish_time":1729765320,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2024/1024/resize_3-0.png","title":"Đề thi giữa kì 1 Toán 8 Kết nối tri thức - Đề số 6","alias":"de-thi-giua-ki-1-toan-8-ket-noi-tri-thuc-de-so-6","introtext":"Phần trắc nghiệm (3 điểm) Chọn câu trả lời đúng trong mỗi câu sau:\r\nCâu 1: Biểu thức nào là đơn thức?","display_type":5,"article_type":1},{"article_id":151222,"cat_id":1612,"publish_time":1696403280,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/1004/resize_1-0.png","title":"Đề thi giữa kì 1 Toán 8 - Đề số 5 - Kết nối tri thức","alias":"de-kiem-tra-giua-hoc-ki-1-toan-8-de-so-5-ket-noi-tri-thuc","introtext":"Câu 1: Kết quả của phép nhân đa thức (4{{rm{x}}^5} + 7{{rm{x}}^2}) với đơn thức ( - 3{{rm{x}}^3}) là :","display_type":2,"article_type":1},{"article_id":151085,"cat_id":1612,"publish_time":1696064340,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0930/resize_1-0_4.png","title":"Đề thi giữa kì 1 Toán 8 - Đề số 4 - Kết nối tri thức","alias":"de-kiem-tra-giua-hoc-ki-1-toan-8-de-so-4-ket-noi-tri-thuc","introtext":"Câu 1: Trong các biểu thức sau, biểu thức nào không phải đơn thức?","display_type":2,"article_type":1},{"article_id":150985,"cat_id":1612,"publish_time":1695956940,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0929/resize_1-0.png","title":"Đề thi giữa kì 1 Toán 8 - Đề số 3 - Kết nối tri thức","alias":"de-kiem-tra-giua-hoc-ki-1-toan-8-de-so-3-ket-noi-tri-thuc","introtext":"Câu 1: Cho các biểu thức ({x^2} - 2 + 4x{y^2};frac{x}{y} + 2{y^2};2023;x(x - y)). Có bao nhiêu đa thức trong các biểu thức trên?","display_type":2,"article_type":1},{"article_id":150492,"cat_id":1612,"publish_time":1695200880,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0920/resize_1-0_9.png","title":"Đề thi giữa kì 1 Toán 8 - Đề số 2 - Kết nối tri thức","alias":"de-kiem-tra-giua-hoc-ki-1-toan-8-de-so-2-ket-noi-tri-thuc","introtext":"Phần trắc nghiệm (3 điểm)\r\nCâu 1: Cho các biểu thức (2x + y + {x^2}y; - 3x{y^2}{z^3} + frac{1}{2}{x^2}{y^2}z;frac{{x + y}}{{x - y}}). Có bao nhiêu đa thức trong các biểu thức trên?\r\n","display_type":2,"article_type":1},{"article_id":150408,"cat_id":1612,"publish_time":1695114120,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0919/resize_1-0_46.png","title":"Đề thi giữa kì 1 Toán 8 - Đề số 1 - Kết nối tri thức","alias":"de-kiem-tra-giua-hoc-ki-1-toan-8-de-so-1-ket-noi-tri-thuc","introtext":"Phần trắc nghiệm (4 điểm)\r\nCâu 1: Tìm hệ số trong đơn thức ( - 36{a^2}{b^2}{x^2}{y^3}) với a,b là hằng số.\r\n","display_type":2,"article_type":1}],"event_info":{"title":"Đề thi giữa kì 1 Toán 8 - Kết nối tri thức","cat_id":1612,"alias":"de-kiem-tra-giua-hoc-ki-1-toan-8-ket-noi-tri-thuc","introtext":"","type":"event","item_id":33725,"item_type":2},"banner":[],"top_banner":"","content_expanded":[],"child_events":[{"id":"33725","title":"Đề thi giữa kì 1 Toán 8 - Kết nối tri thức","short_title":"Đề thi giữa kì 1","alias":"de-kiem-tra-giua-hoc-ki-1-toan-8-ket-noi-tri-thuc","picture":"picture/event/2023/1129/1-0.png","is_link":"0","links":"","is_hot":"0","is_all":"0","category_id":"1612","ordering":"33725","parent_id":"0"}],"parent_events":[],"cfg_info":{"last_cfg_time":"1521866679","ad.popup_frequency":"0","ad.adsense.detail_bottom.unit_id":"ca-app-pub-8529835372050931/9927553003","ad.adsense.popup.unit_id":"ca-app-pub-8529835372050931/2161779402","current.force.update.version":"181","support.email":"loigiaihay.com@gmail.com","support.fanpage":"https://www.facebook.com/Loigiaihay/","popup_rating_after":"86400","admob.app_id":"ca-app-pub-8529835372050931~4358271409","admob.unit.article_detail_bottom":"ca-app-pub-8529835372050931/1883637630","admob.unit.article_detail_top":"ca-app-pub-8529835372050931/8604898230","admob.unit.event_article_top":"ca-app-pub-8529835372050931/7406887709","admob.unit.interestial":"ca-app-pub-8529835372050931/2741937409","ios_appstore_link":"https://itunes.apple.com/us/app/loigiaihay/id1209891610?mt=8","android_appstore_link":"https://play.google.com/store/apps/details?id=com.tp.loigiaihay","min_version":"2.1.3","latest_version":"1.3.9","force_update":false},"popup_ads":[]}