解题方法
1 . 已知
是在
上连续可导,其导函数记作
,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2 . 已知函数
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa957a81ad653cdcc5eef057db8452b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e980e05f82814b55b8d2c44abb39ae.png)
A.函数![]() | B.![]() ![]() |
C.函数![]() | D.函数![]() |
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解题方法
3 . 已知
,
(
)是双曲线
上位于第一象限的任意两点,且
,则函数
的值域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b225d772013d021cf1bfe7b9421fa5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b7e35faab6d74fa0c36599c39d1698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1fa37c4c826b5dcfebe86ab6177906.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9d6bd79d59276c857eb0e531f1a40a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd1f9ae0ee7f37a1ee021b967db1bfc.png)
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4 . 下列判断,正确的选项有( )
A.若![]() ![]() ![]() ![]() |
B.曲线 ![]() ![]() |
C.函数![]() ![]() ![]() ![]() |
D.函数![]() ![]() ![]() ![]() ![]() ![]() |
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5 . 记
,其中
,已知
是函数
的极值点.
(1)求实数a的值;
(2)
的表达式展开可以得到
,求
的值.
(3)设函数
定义域为R,且函数
和函数
都是偶函数,若
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b901acae2a5949cd177ad339ca96fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)求实数a的值;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ff6618568a91b92363ec35ecb8409f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7bb64e401243a01e88407b376b9d24.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e6cc181a815a1a1e9b7e4bb9a65490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d02059613da3797ae406925b6ee5b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae66ea2971f759345e18b65570b0e009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb553fdd94fc9bed87022f72d97d6880.png)
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