1 . 在函数①
;②
;③
;④
;⑤
;⑥
中,定义域是
的有________ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2deedb20ba2b2bcfcb509196529af2ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce389ec8a2e81caeec0852b7e462bcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af47cd46bc6b226186f361d935c92946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9deb7dc61276e494d1d5f091d116b183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29aac7c8c97ab5690f529100362bf36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e87b5d998252950639557ec2b8946d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
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2 . 将函数
的图象向左平移
个单位长度后得到函数
的图象,再把函数
的图象上每一点的横坐标缩小到原来的一半(纵坐标保持不变),得到函数
的图象,则函数
的图象的一条对称轴的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53df713bc1c521c599aca9f6f38f4454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcf8193aaa40bcd8a82e71b49a673256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 下列函数中最小值为2的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 命题“
”的否定是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9496d501f653747c9160330b45840a6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 若
,且
,则
的最小值为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802fa75154cf452b1ef578447c7035f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038d16ba4a91aa98248eff66984253b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4c25755e08df6c44fa0d2be441f709.png)
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名校
6 . 设
,则“
且
”是“
”的( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d217c7b12e12e5fb67472452518859ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e42953357fe79c16248ef4c79e6089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d8b93ecbaab8a7a4899a042399f5fb.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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7 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aabbd0205ffb925a495628d87eca6dd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753d846b8faa761d4ac6b2caeb231a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 若
对任意
恒成立,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e444cb797000ea1f11aa205699c3ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03064a89515f91d3541de52dcb2ca343.png)
A.189 | B.190 | C.464 | D.465 |
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解题方法
9 . (1)求当
时,
的值域.
(2)已知
,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b26a616d1b8ec70fd29660e3972c69.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae20cedeaae3d083cb18215ce83b40b.png)
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解题方法
10 . 已知函数
,图象经过点
,且
.
(1)求
的值;
(2)用定义法证明函数
在区间
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee99b7780ae10d705c5bf7345f9fbf03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab32f3da694b3eee0b6f0bdc8569bd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98567ba8e9c3bd123734a46ff339a96.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15bd315b801f71bc30b8d772098614.png)
(2)用定义法证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6643dbcc2d816008babf6dde26555d2.png)
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