2024年河北省初中毕业生升学文化课考试(十)数学.考卷答案

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2024年河北省初中毕业生升学文化课考试(十)数学.考卷答案试卷答案

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分析由题意直线l1:x+2y=a+2和直线l2:2x-y=2a-1,交于圆心(a,1),且互相垂直,可得四边形ABCD是正方形,即可求出四边形ABCD的面积.

解答解:由题意,直线l1:x+2y=a+2和直线l2:2x-y=2a-1,交于圆心(a,1),且互相垂直,
∴四边形ABCD是正方形,
∴四边形ABCD的面积为4×$\frac{1}{2}×2×2$=8,
故选:D.

点评本题考查求四边形ABCD的面积,考查学生的计算能力,确定直线l1:x+2y=a+2和直线l2:2x-y=2a-1,交于圆心(a,1),且互相垂直是关键.