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2023~2024学年高三3月测评(福建)(24470C)英语试卷答案
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第二部分阅读理解(共两节,满分50分)】第一节(共15小题;每小题2.5分,满分37.5分)阅读下列短文,从每题所给的A、B、C、D四个选项中选出最佳选项
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分析根据奇函数的定义,看是否满足f(-x)=-f(x),并且定义域关于原点对称,并且在原点有定义时,f(0)=0,这样即可判断每个选项的正误,从而找出正确选项.
解答解:A.f(x)=$\sqrt{1+x}+\sqrt{1-x}$,f(-x)=f(x);
∴该函数不是奇函数;
B.f(x)=x3-1,f(0)=-1≠0;
∴该函数不是奇函数;
C.$f(x)=\sqrt{1+x}-\sqrt{1-x}$,定义域为[-1,1];
f(-x)=$\sqrt{1-x}-\sqrt{1+x}$=-f(x);
∴该函数为奇函数;
D.$f(x)=-\frac{1}{{x}^{2}}$,f(-x)=f(x);
∴该函数不是奇函数.
故选:C.
点评考查奇函数的定义,判断一个函数为奇函数的方法:定义域关于原点对称,并满足f(-x)=-f(x),以及奇函数在原点处有定义时,其在原点的函数值为0.
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