2024年河北省初中综合复习质量检测(四)数学.考卷答案

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2024年河北省初中综合复习质量检测(四)数学.考卷答案试卷答案

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选项中有两项为多余选项

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分析由偶函数f(x)在(-∞,0]上单调递减,可得f(x)在{0,+∞)上单调递增,比较三个自变量的大小,可得答案.

解答解:∵偶函数f(x)在(-∞,0]上单调递减,
∴f(x)在{0,+∞)上单调递增,
∵2>log23=log49>log45,2${\;}^{\frac{3}{2}}$>2,
∴f(log45)<f(log23)<f(2${\;}^{\frac{3}{2}}$),
∴b<a<c,
故选:B.

点评本题考查的知识点是函数奇偶性的性质,熟练掌握函数奇偶性的性质,是解答的关键.