名校
解题方法
1 . 下列命题是真命题的是( )
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
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名校
解题方法
2 . 已知函数
是函数
(
且
)的反函数,且
.
(1)求函数
的解析式;
(2)设
.
(i)写出函数
的单调区间,并指明单调性;(无需证明)
(ⅱ)求
在区间
(其中
且
)上的最小值
和最大值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f95375c98fdf77b35b313776c37319.png)
(i)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82dca4a0e082b5cbdb1beb6f4d1e2f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0225bca34eaf19544939b29153aac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e91406484c332ac8fc96a54c7e187b.png)
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解题方法
3 . 给出下列四个命题:
①函数
与直线
的交点个数为0或1;
②集合
,
,若
,则
;
③函数
为奇函数的充要条件是
;
④函数
的反函数是
.
其中所有正确命题的序号是___________ .
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
②集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92defe532e75dda6a54fb5237df0f0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47492deca35a820623067e465e1042cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fbfbddb0c002b577cb3c1fcd0fe62df.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5085a9de457345cc5f7bc0e6064ed75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a783088120d67cc98936081e80fb7f.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2194c7d8174c63606dc3846caa707a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5de156287dd1eca14853c6fcdf25dff.png)
其中所有正确命题的序号是
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