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若集合 \( A=\left\{x|y=\sqrt{2x-1}\right\}\),\( B=\left\{x|x\le 1\right\}\),则 \( A\cap B\) 是 \( \left( \right)\)
A.\( \left\{x|\frac{1}{2}\le x\le 1\right\}\)
B.\( \left\{x|x\le -1\right\}\)
C.\( \left\{x|-1\le x\le \frac{1}{2}\right\}\)
D.\( \left\{x|x\ge 1\right\}\)
参考答案:A
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