2024年秋季鄂东南省级示范高中教育教学改革联盟学校高二起点考试试题(数学)

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2024年秋季鄂东南省级示范高中教育教学改革联盟学校高二起点考试试题(数学)试卷答案

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分析利用平面垂直的判定定理得到前者能推出后者;容易判断出后者推不出前者;利用各种条件的定义得到选项.

解答解:∵平面垂直的判定定理:如果一个平面经过另一个平面的垂线,则两平面垂直
∴直线m?α,那么“m⊥β”成立时,一定有“α⊥β”成立
反之,直线m?α,若“α⊥β”不一定有“m⊥β”成立
所以直线m?α,那么“m⊥β”是“α⊥β”的充分不必要条件
故选:A

点评本题考查平面垂直的判定定理、考查各种条件的定义并利用定义如何判定一个命题是另一个命题的什么条件.