1. Let the sets be
$$
M=\left\{x \left\lvert\,-\frac{1}{2}<x<\frac{1}{2}\right.\right\}, N=\left\{x \mid x^{2} \leqslant x\right\} \text {. }
$$

Then $M \cap N=(\quad)$.
(A) $\left[0, \frac{1}{2}\right)$
(B) $\left(-\frac{1}{2}, 1\right]$
(C) $\left[-1, \frac{1}{2}\right)$
(D) $\left(-\frac{1}{2}, 0\right]$
One, 1. A.