解题方法
1 . 下列函数中,既是偶函数又在区间
上单调递增的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd50020c0e3198d4a6b2d26a413b1b8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 某杀菌剂每喷洒一次就能杀死某物质上的细菌的
,要使该物质上的细菌少于原来的
,则至少要喷洒______ 次
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceceedf836ef596f48d5bd2313714151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb30e2572976018360c3cbf6976a472d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1732beb04467d20afa249f876ee7d77.png)
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3 . 已知集合
,
,
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f713d1ab6e1e5167ffd4eadfb6d6ed2c.png)
(1)若
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbec41ecbf80fe57340f55022d5a1e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88da7e318a3222330b0dabe612617cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab969771195fcca4c634b228933a203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f713d1ab6e1e5167ffd4eadfb6d6ed2c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3226acdcb97e0f41aa5cefabc8f95c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
4 . 已知函数
为
上的奇函数,当
时,
,则
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85bb039b096eac697bd81eb104772a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 若
时,不等式
恒成立,则实数
可取下面哪些值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f60974b156ccb19c9430e0671dd954c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135dd2b22a6de8ee644adc100d5d1e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 若
,
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/726c078ca626f64e0d02c2666d8af105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e86a0979cb3dfd290c8ee0a94bf210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d499e8ca8a0c2c810507e34456181577.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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解题方法
7 . (1)计算:
;
(2)已知
,计算
的值并证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03174be2aeab05cb62ce0202313fe2b8.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d00f77341badaa94a3a56e410d0985b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f0b84ee4ed90face0993d4f4dda379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ae5638d85483b26edfd69a0a4abaae.png)
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解题方法
8 . 设集合
,集合
,集合
.
(1)求
;
(2)当
时,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0adbacaee97d228631ec3e0f9aa3066c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71707e3b6154bd02e9108f5e5b2ee9f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb5e684be08cae94daeed042fc12e1a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bb6324279df94decba955e04ccfa9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcdb562732b208fd5c0db51466236422.png)
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解题方法
9 . 若函数
(其中
且
)的图象过第一、三、四象限,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a33dc3326e335a7e519b86093a53fb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc33dd39944ab7ad9d7fd0573f1b12f.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40817513b07494f25011f15ac3bbb57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc33dd39944ab7ad9d7fd0573f1b12f.png)
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