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<image> Question: As shown in the figure, in △ABC, it is known that ∠A=80°, ∠B=60°, DE∥BC, then the size of ∠CED is () Choices: A. 40° B. 60° C. 120° D. 140°
<answer>D</answer>
<image> Question: As shown in the figure, AB∥CD, the straight line EF intersects AB at point E, intersects CD at point F, EG divides ∠BEF, intersects CD at point G, ∠1=50°, then ∠2 is equal to () Choices: A. 50° B. 60° C. 65° D. 90°
<answer>C</answer>
<image> Question: As shown in the figure, BD divides ∠ABC, CD∥AB, if ∠BCD=70°, then the degree of ∠CDB is () Choices: A. 55° B. 50° C. 45° D. 30°
<answer>A</answer>
<image> Question: As shown in the figure, AB and ⊙O are tangent to point B, and the extension line of AO intersects ⊙O at point C and connects BC. If ∠A=36°, then ∠C is equal to () Choices: A. 36° B. 54° C. 60° D. 27°
<answer>D</answer>
<image> Question: As shown in the figure, the straight lines a and b intersect at point O. If ∠1 is equal to 50°, then ∠2 is equal to () Choices: A. 50° B. 40° C. 140° D. 130°
<answer>A</answer>
<image> Question: As shown in the figure, AB//CD and EF are intersected by AB, CD at points E, F, ∠1=50°, then the degree of ∠2 is () Choices: A. 50° B. 120° C. 130° D. 150°
<answer>C</answer>
<image> Question: As shown in the figure, △ABC≌△ADE, if ∠B=70°, ∠C=30°, and ∠DAC=35°, then the degree of ∠EAC is () Choices: A. 40° B. 45° C. 35° D. 25°
<answer>B</answer>
<image> Question: As shown in the figure, △ABC≌△DEF, points A and D, B and E are the corresponding vertices respectively, and BC=5cm and BF=7cm is measured, then the EC length is () Choices: A. 1cm B. 2cm C. 3cm D. 4cm
<answer>C</answer>
<image> Question: As shown in the figure, in △ABC, ∠C=90°, AC=BC, AD divides ∠CAB intersects BC at D, DE⊥AB at E. If AB=6cm, then the circumference of △DBE is () Choices: A. 6cm B. 7cm C. 8cm D. 9cm
<answer>A</answer>
<image> Question: As shown in the figure, in △ABC, AB=AC, ∠A=36°, the vertical bisector DE of AB intersects AC at D and AB at E, then the degree of ∠BDC is () Choices: A. 72° B. 36° C. 60° D. 82°
<answer>A</answer>
<image> Question: As shown in the figure, in △ABC, ∠C=36°, rotate △ABC counterclockwise 60° around point A to obtain △AED. AD and BC intersect at point F, then the degree of ∠AFC is () Choices: A. 84° B. 80° C. 60° D. 90°
<answer>A</answer>
<image> Question: As shown in the figure, the straight line AB∥CD, Rt△DEF is placed as shown in the figure, ∠EDF=90°, if ∠1+∠F=70°, then the degree of ∠2 is () Choices: A. 20° B. 25° C. 30° D. 40°
<answer>A</answer>
<image> Question: As shown in the figure, AB∥EF, CD⊥EF,∠BAC=50°, then ∠ACD=() Choices: A. 120° B. 130° C. 140° D. 150°
<answer>C</answer>
<image> Question: As shown in the figure, △ABC is an inline triangle of ⊙O, ∠OAB=35°, then the degree of ∠ACB is () Choices: A. 35° B. 55° C. 60° D. 70°
<answer>B</answer>
<image> Question: Place the ruler and right-angle triangle plate as shown in the figure (∠ACB is a right angle). It is known that ∠1=30°, then the size of ∠2 is () Choices: A. 30° B. 45° C. 60° D. 65°
<answer>C</answer>
<image> Question: As shown in the figure, the straight line a and the straight line b are intercepted by the straight line c, b⊥c, and the sagging foot is point A, ∠1=70°. If the straight line b is parallel to the straight line a, the straight line b can be rotated clockwise around point A () Choices: A. 70° B. 50° C. 30° D. 20°
<answer>D</answer>
<image> Question: As shown in the figure, in ⊙O, the radius of chord AC∥ OB, ∠BOC=50°, then the degree of ∠OAB is () Choices: A. 25° B. 50° C. 60° D. 30°
<answer>A</answer>
<image> Question: □In ABCD, the diagonal AC and BD intersect at point O, ∠DAC=42°, ∠CBD=23°, then ∠COD is (). Choices: A. 61° B. 63° C. 65° D. 67°
<answer>C</answer>
<image> Question: The positions of straight lines a, b, c, and d are shown in the figure. If ∠1=58°, ∠2=58°, and ∠3=70°, then ∠4 is equal to () Choices: A. 58° B. 70° C. 110° D. 116°
<answer>C</answer>
<image> Question: As shown in the figure, a∥b,∠1=158°,∠2=42°,∠4=50°. Then ∠3=() Choices: A. 50° B. 60° C. 70° D. 80°
<answer>C</answer>
<image> Question: As shown in the figure, AB is the diameter of ⊙O, and C and D are the two points on ⊙O, which connect AC, BC, CD, and OD respectively. If ∠DOB=140°, then ∠ACD=() Choices: A. 20° B. 30° C. 40° D. .70°A70°
<answer>A</answer>
<image> Question: As shown in the figure, it is known that ∠1=∠2=∠3=55°, then the degree of ∠4 is () Choices: A. 110° B. 115° C. 120° D. 125°
<answer>D</answer>
<image> Question: As shown in the figure, in the diamond ABCD, M and N are on AB and CD respectively, and AM=CN, MN and AC intersect at point O, connected to BO. If ∠DAC=28°, then the degree of ∠OBC is () Choices: A. 28° B. 52° C. 62° D. 72°
<answer>C</answer>
<image> Question: As shown in the figure, PA and PB are tangent to points A and B respectively with ⊙O. If ∠C=65°, then the degree of ∠P is () Choices: A. 65° B. 130° C. 50° D. 100°
<answer>C</answer>
<image> Question: (4 points) As shown in the figure, the straight line a∥b and the straight line c intersect with a and b respectively. ∠1=50°, then the degree of ∠2 is () Choices: A. 150° B. 130° C. 100° D. 50°
<answer>B</answer>
<image> Question: (3 points) As shown in the figure, EF∥BC, AC divides ∠BAF, ∠B=50°, then the degree of ∠C is () Choices: A. 50° B. 55° C. 60° D. 65°
<answer>D</answer>
<image> Question: As shown in the figure, in order to measure the height of the school flagpole, Xiaodong used a 3.2-meter-long bamboo pole as a measuring tool to move the bamboo pole so that the shadow at the top of the bamboo pole and the top of the flagpole fell exactly at the same point on the ground. At this time, the bamboo pole is 8 meters away from this point and 22 meters away from the flagpole, so the height of the flagpole is () meters. Choices: A. 8.8 B. 10 C. 12 D. 14
<answer>C</answer>
<image> Question: As shown in the figure, when planting trees on flat ground, the plant distance (the horizontal distance between two adjacent trees) is required to be 4m. If you plant trees on a hillside with a slope of 0.75, the distance between the adjacent trees is also required to be 4m. Then the distance between the slopes of the adjacent trees is () Choices: A. 5m B. 6m C. 7m D. 8m
<answer>A</answer>
<image> Question: As shown in the figure, use line segment AB as the edge to make a right-angle triangle ABC and an equilateral triangle ABD, where ∠ACB=90°. Connect CD, when the length of CD is the largest, the size of ∠CAB is () Choices: A. 75° B. 45° C. 30° D. 15°
<answer>B</answer>
<image> Question: As shown in the figure, D is the intersection point between the angle bisector BD and CD of △ABC. If ∠A=50°, then ∠D=() Choices: A. 120° B. 130° C. 115° D. 110°
<answer>C</answer>
<image> Question: As shown in the figure, it is known that OA=OB=OC and ∠ACB=30°, then the size of ∠AOB is () Choices: A. 40° B. 50° C. 60° D. 70°
<answer>C</answer>
<image> Question: As shown in the figure, the straight line a∥b, point B is on the straight line b, and AB⊥BC, ∠2=65°, then the degree of ∠1 is () Choices: A. 65° B. 25° C. 35° D. 45°
<answer>B</answer>
<image> Question: Circle I is the incisive circle of the triangle ABC, D, E, F are 3 tangent points. If ∠DEF=52°, then the degree of ∠A is () Choices: A. 68° B. 52° C. 76° D. 38°
<answer>C</answer>
<image> Question: As shown in the figure, the straight line AB∥CD, ∠1=136°, ∠E is a right angle, then ∠C is equal to () Choices: A. 42° B. 44° C. 46° D. 48°
<answer>C</answer>
<image> Question: As shown in the figure, the straight lines AB and CD are intercepted by the straight line EF. If AB∥CD, ∠1=100°, then the size of ∠2 is () Choices: A. 10° B. 50° C. 80° D. 100°
<answer>C</answer>
<image> Question: As shown in the figure: AB∥DE,∠B=30°,∠C=110°, and the degree of ∠D is () Choices: A. 115° B. 120° C. 100° D. 80°
<answer>C</answer>
<image> Question: As shown in the figure, AB is the diameter of ⊙O, point C is on ⊙O, and the tangent line of point C passes through point C and crosses the extension line of AB at point D, connecting AC. If ∠D=50°, then the degree of ∠A is () Choices: A. 20° B. 25° C. .40° D. 50°
<answer>A</answer>
<image> Question: As shown in the figure, AB∥CD, CP intersects AB at O, AO=PO, if ∠C=50°, then the degree of ∠A is () Choices: A. 25° B. 35° C. 15° D. 50°
<answer>A</answer>
<image> Question: As shown in the figure, in △ABC, AB=AC, and pass point A to AD∥BC. If ∠1=70°, then the size of ∠BAC is () Choices: A. 40° B. 30° C. .70° D. 50°
<answer>A</answer>
<image> Question: Fold a rectangular paper strip of equal widths as shown in the figure. If ∠1=140°, then the degree of ∠2 is () Choices: A. 100° B. 110° C. 120° D. 140°
<answer>B</answer>
<image> Question: As shown in the figure, it is known that the straight lines a and b are intercepted by the straight line c, a∥b,∠1=50°, then ∠2=() Choices: A. 50° B. 130° C. 40° D. 60°
<answer>A</answer>
<image> Question: The positions of straight lines a, b, c, and d are shown in the figure. If ∠1=100°, ∠2=100°, and ∠3=125°, then ∠4 is equal to () Choices: A. 80° B. 65° C. 60° D. 55°
<answer>D</answer>
<image> Question: As shown in the picture, it is a schematic diagram of a kite bracket made by Xiao Liu. It is known that BC∥PQ, AB:AP=2:5, AQ=20cm, then the length of CQ is () Choices: A. 8cm B. 12cm C. 30cm D. 50cm
<answer>B</answer>
<image> Question: As shown in the figure, △ODC is a graph obtained by rotating △OAB clockwise around point O by 30°. If point D falls exactly on AB and the degree of ∠AOC is 100°, then the degree of ∠DOB is () Choices: A. 40° B. 30° C. 38° D. 15°
<answer>A</answer>
<image> Question: As shown in the figure, the two street lights A and B were 30 meters apart. One night, when Xiaogang walked straight from the bottom of street light A to the bottom of street light B, he found that the top of his figure was just in contact with the bottom of street light B. It is known that Xiaogang's height is 1.5 meters, so the height of street light A is () Choices: A. 9米 B. 8米 C. 7米 D. 6米
<answer>A</answer>
<image> Question: As shown in the figure, C is the point on ⊙O, and O is the center of the circle. If ∠C=35°, then the degree of ∠AOB is () Choices: A. 35° B. 70° C. 105° D. 150°
<answer>B</answer>
<image> Question: As shown in the figure, if AB∥CD, ∠A=70°, then the degree of ∠1 is () Choices: A. 20° B. 30° C. 70° D. 110°
<answer>D</answer>
<image> Question: As shown in the figure, the straight line AB∥CD, ∠C=44°, ∠E is a right angle, then ∠1 is equal to () Choices: A. 132° B. 134° C. 136° D. 138°
<answer>B</answer>
<image> Question: As shown in the figure, A, B, and C are any three points on ⊙O. If ∠BOC=100°, then the degree of ∠BAC is () Choices: A. 50° B. 80° C. 100° D. 130°
<answer>D</answer>
<image> Question: As shown in the figure, in the inline pentagon ABCDE of ⊙O, ∠CAD=35° and ∠AED=115°, then the degree of ∠B is () Choices: A. 50° B. 75° C. 80° D. 100°
<answer>D</answer>
<image> Question: As shown in the figure, in △ABC, ∠C=90°, AD is the bisector of ∠BAC, DE⊥AB is E. If DE=8cm and DB=10cm, BC is equal to () Choices: A. 14cm B. 16cm C. 18cm D. 20cm
<answer>C</answer>
<image> Question: As shown in the figure, the straight lines AB and CD intersect at point O, EO⊥AB, the vertical is point O, ∠BOD=50°, then ∠COE=() Choices: A. 30° B. 140° C. 50° D. 60°
<answer>B</answer>
<image> Question: As shown in the figure, points B, E, C, F are on the same straight line, △ABC≌△DEF,∠B=45°, ∠F=65°, then the degree of ∠COE is () Choices: A. 40° B. 60° C. 70° D. 100°
<answer>C</answer>
<image> Question: As shown in the figure, place the two vertices of a right-angle triangle with a 45° angle on the opposite side of the ruler. If ∠1=27.5°, then ∠2 is equal to () Choices: A. 32.5° B. 22.5° C. 20.5° D. 17.5°
<answer>D</answer>
<image> Question: As shown in the figure, the straight line a∥b, point B is on the straight line b, and AB⊥BC, ∠1=55°, then the degree of ∠2 is () Choices: A. 25° B. 35° C. 45° D. 55°
<answer>B</answer>
<image> Question: As shown in the figure, straight line a∥b, straight line c intersects a, b, ∠1=55°, then ∠2=() Choices: A. 55° B. 35° C. 125° D. 65°
<answer>A</answer>
<image> Question: Place a foot and the triangle as shown in the figure. ∠1=40°, then the degree of ∠2 is () Choices: A. 130° B. 140° C. 120° D. 125°
<answer>A</answer>
<image> Question: As shown in the figure, the straight lines AB and CD intersect at point O, and the rays OM are bisectored ∠AOC, ON⊥OM. If ∠AOC=70°, then the degree of ∠CON is () Choices: A. 65° B. 55° C. 45° D. 35°
<answer>B</answer>
<image> Question: As shown in the figure, the diameter of ⊙O CD is passed through the midpoint G of the string EF, ∠DCF=20°, then ∠EOD is equal to () Choices: A. 10° B. 20° C. 40° D. 80°
<answer>C</answer>
<image> Question: As shown in the figure, AB is parallel CD. If ∠B=20°, then ∠C is () Choices: A. 40° B. 20° C. 60° D. 70°
<answer>B</answer>
<image> Question: As shown in the figure, AB∥CD, ∠CED=90°, ∠AEC=35°, then the size of ∠D() Choices: A. 65° B. 55° C. 45° D. 35°
<answer>B</answer>
<image> Question: As shown in the figure, AB∥CD and AD divide ∠BAC bisector, and ∠C=80°, then the degree of ∠D is () Choices: A. 50° B. 60° C. 70° D. 100°
<answer>A</answer>
<image> Question: As shown in the figure, AB∥CD, if ∠2=135°, then the degree of ∠1 is () Choices: A. 30° B. 45° C. 60° D. 75°
<answer>B</answer>
<image> Question: As shown in the figure, AB∥CD, point E is on BC, and CD=CE, ∠D=74°, then the degree of ∠B is () Choices: A. 74° B. 32° C. 22° D. 16°
<answer>B</answer>
<image> Question: As shown in the figure, AB∥CD, point E is on the extension line of CA. If ∠BAE=40°, then the size of ∠ACD is () Choices: A. 150° B. 140° C. 130° D. 120°
<answer>B</answer>
<image> Question: As shown in the figure, use the benchmark BE to measure the height of the tree CD. If the benchmark BE is 2 meters long, it is measured that AB=3 meters, AC=9 meters, and points A, E, D are on a straight line, then the tree CD is () Choices: A. 6米 B. 7.5米 C. 8米 D. 8.5米
<answer>A</answer>
<image> Question: After some oil is loaded into a cylindrical oil tank with a diameter of 200cm, the cross-section is shown in the figure. If the width of the oil surface AB=160cm, the maximum depth of the oil is () Choices: A. 40cm B. 60cm C. 80cm D. 100cm
<answer>A</answer>
<image> Question: As shown in the figure, ∠1=∠2, ∠3=30°, then ∠4 is equal to () Choices: A. 120° B. 130° C. 145° D. 150°
<answer>D</answer>
<image> Question: As shown in the figure, AB∥CD, ∠B=20°, ∠D=60°, then the degree of ∠BED is () Choices: A. 40° B. 80° C. 90° D. l00°
<answer>B</answer>
<image> Question: As shown in the figure, the straight line AB∥CD, AE bisector ∠CAB, ∠ACD=40°, then the degree of ∠AEC is () Choices: A. 40° B. 70° C. 80° D. 140°
<answer>B</answer>
<image> Question: Xuanxuan and Kaikai were in the same mathematics study group. In a math activity class, they each made a pair of jigsaw puzzles with a side length of 12cm, and collaborated to design the work as shown in the figure. Please help them calculate the sum of the areas of the three figures circled in the figure as () Choices: A. 12cm B. 24cm C. 36cm D. 48cm
<answer>C</answer>
<image> Question: As shown in the figure, the straight line a∥b,∠2=35°,∠3=40°, then the degree of ∠1 is () Choices: A. 75° B. 105° C. 140° D. 145°
<answer>B</answer>
<image> Question: As shown in the figure, BD is the angular bisector of △ABC, AE⊥BD, the sagging foot is F. If ∠ABC=35° and ∠C=50°, then the degree of ∠CDE is () Choices: A. 35° B. 40° C. 45° D. 50°
<answer>C</answer>
<image> Question: As shown in the figure, the straight line AD∥BC, if ∠1=42° and ∠BAC=78°, then the degree of ∠2 is () Choices: A. 42° B. 50° C. 60° D. 68°
<answer>C</answer>
<image> Question: As shown in the figure, the circumference of □ABCD is 16cm, AC and BD intersect at point O, OE⊥AC intersect AD at point E, then the circumference of △DCE is () Choices: A. 10cm B. 8cm C. 6cm D. 4cm
<answer>B</answer>
<image> Question: As shown in the figure, △ABC is an inline triangle of ⊙O. If ∠ABC=70°, then the degree of ∠AOC is equal to () Choices: A. 140° B. 130° C. 120° D. 110°
<answer>A</answer>
<image> Question: As shown in the figure, AB∥CD, ray AE intersects CD at point F, if ∠1=115°, then the degree of ∠2 is () Choices: A. 55° B. 65° C. 75° D. 85°
<answer>B</answer>
<image> Question: As shown in the figure, a//b, place the right angle vertex of a triangle plate on the straight line a, ∠1=42°, then the degree of ∠2 is () Choices: A. 46° B. 48° C. 56° D. 72°
<answer>B</answer>
<image> Question: As shown in the figure, a∥b, point B is on the straight line b, and AB⊥BC,∠1=36°, then ∠2=() Choices: A. 54° B. 56° C. 44° D. 46°
<answer>A</answer>
<image> Question: As shown in the figure, if ∠1=∠3 and ∠2=60°, then the degree of ∠4 is () Choices: A. 60° B. 100° C. 120° D. 130°
<answer>C</answer>
<image> Question: As shown in the figure, AB∥CD, AE bisector ∠CAB intersects CD at point E. If ∠C=70°, then the degree of ∠AED is () Choices: A. 110° B. 125° C. 135° D. 140°
<answer>B</answer>
<image> Question: As shown in the figure, the circumference of ▱ABCD is 32cm, AC and BD intersect at point O, OE⊥AC intersect AD at point E, then the circumference of △DCE is () Choices: A. 8cm B. 24cm C. 10cm D. 16cm
<answer>D</answer>
<image> Question: As shown in the figure, a cylinder with a circumference of 24m and a height of 5m, the shortest route through which an ant travels from point A to point B along the surface is () Choices: A. 12m B. 15m C. 13m D. 14m
<answer>C</answer>
<image> Question: As shown in the figure, in △ABC, ∠BAC=90°, AD⊥BC is divided into ∠DAC at point D, AE bisector, ∠B=50°, find the degree of ∠DAE as () Choices: A. 45° B. 20° C. 30° D. 25°
<answer>D</answer>
<image> Question: As shown in the figure, the straight line l∥m∥n, the vertices B and C of the triangle ABC are on the straight lines n and m respectively. The angle between the edge BC and the straight line n is 25°, and ∠ACB=60°, then the degree of ∠a is () Choices: A. 25° B. 30° C. 35° D. 45°
<answer>C</answer>
<image> Question: As shown in the figure, it is known that in ⊙O, the center angle ∠AOB=100°, then the circumferential angle ∠ACB is equal to (). Choices: A. 130° B. 120° C. 110° D. 100°
<answer>A</answer>
<image> Question: As shown in the figure, △ABC is connected to ⊙O with a radius of 1. If ∠BAC=60°, then the length of BC is () Choices: A. 2 B. 2√{3} C. √{3} D. 2√{2}
<answer>C</answer>
<image> Question: As shown in the figure, circle O is an circumferential circle of △ABC. The bisector of ∠BAC and ∠ABC intersect at point I, extending the AI ​​intersecting circle O at point D, connecting BD and DC. If the radius of circle O is 8 and ∠BAC=120°, then the length of DI is () Choices: A. 4√{3}+2 B. 4√{3}+3 C. 8√{3}+1 D. 8√{3}
<answer>D</answer>
<image> Question: As shown in the figure, ⊙O is an external circle of △ABC, connecting OB and OC. If the radius of ⊙O is 2 and ∠BAC=60°, then the length of BC is () Choices: A. √{3} B. 2√{3} C. 4 D. 4√{3}
<answer>B</answer>
<image> Question: As shown in the figure, AB and CD are two diameters of ⊙O, chord DE∥AB, arc DE is 50°, then ∠BOC is () Choices: A. 115° B. 100° C. 80° D. 50°
<answer>A</answer>
<image> Question: As shown in the figure, points A, B, and C are on ⊙O, ∠ABO=22°, ∠ACO=42°, then ∠BOC is equal to () Choices: A. 128° B. 108° C. 86° D. 64°
<answer>A</answer>
<image> Question: As shown in the figure, A, B, C are three points on ⊙O, ∠ACB=25°, then the degree of ∠BAO is () Choices: A. 50° B. 55° C. 60° D. 65°
<answer>D</answer>
<image> Question: As shown in the figure, it is known that in ⊙O, ∠AOB=50°, then the degree of the circumferential angle ∠ACB is () Choices: A. 50° B. 25° C. 100° D. 30°
<answer>B</answer>
<image> Question: As shown in the figure, AB is the diameter of ⊙O, C and D are two points on ⊙O, ∠BAC=30°, ⁀{AD}=⁀{CD}. Then ∠DAC is equal to () Choices: A. 70° B. 45° C. 30° D. 25°
<answer>C</answer>
<image> Question: As shown in the figure, AB is the diameter of ⊙O, C and D are two points on the circle, ∠D=34°, then the degree of ∠BOC is () Choices: A. 102° B. 112° C. 122° D. 132°
<answer>B</answer>
<image> Question: As shown in the figure, points A, B, and C are all on ⊙O. When ∠OBC=40°, the degree of ∠A is () Choices: A. 50° B. 55° C. 60° D. 65°
<answer>A</answer>
<image> Question: As shown in the figure, the diameter AB of ⊙O is perpendicular to the string CD, the vertical foot is point E, ∠CAO=22.5°, OC=6, then the length of CD is () Choices: A. 6√{2} B. 3√{2} C. 6 D. 12
<answer>A</answer>
<image> Question: As shown in the figure, in ⊙O, the string BC and the radius OA intersect at point D and connect AB and OC. If ∠A=60° and ∠ADC=90°, then the degree of ∠C is () Choices: A. 25° B. 27.5° C. 30° D. 35°
<answer>C</answer>
<image> Question: As shown in the figure, points A, B, and P are three points on ⊙O. If ∠AOB=40°, then the degree of ∠APB is () Choices: A. 80° B. 140° C. 20° D. 50°
<answer>C</answer>
<image> Question: As shown in the figure, AB is the chord of ⊙O, OC⊥AB, intersecting ⊙O at point C, connecting OA, OB, BC. If ∠ABC=25°, then the size of ∠AOB is () Choices: A. 80° B. 90° C. 100° D. 120°
<answer>C</answer>
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