解题方法
1 . 已知当
时,不等式
恒成立,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b6ce9accae1555dce9a443fda05acc.png)
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解题方法
2 . 三个数
,
,
之间的大小关系为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a525e811ffc32387348f431b04c32225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ba7fdfc01da5783c330b1f54d96c442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f710d089de64927605639ec0d64ddfcc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca87295f36a2d30a1639592c4b5a7a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c0389ca6c49a2af43452fe4cadce801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4198dc12226f85fae2348730c25ab6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知
,
,则
是
的( )条件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7551ecfe26f56a19cb1e0028732649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f146790725ac5c801492f9e4daf5bc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分又不必要条件 |
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解题方法
5 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e12bd6146b3a1f9f9c7790936bf68f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/379063e86cd968fd34afe4e1ef69a828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6eca07dc5ab2f0858b2134e29ccd074.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 已知函数
,关于该函数有下列四个说法:
(1)函数
的图象关于点
中心对称
(2)函数
的图象关于直线
对称
(3)函数
在区间
内有4个零点
(4)函数
在区间
上单调递增
以上四个说法中,正确的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32df380fd4eec992e81e40864eedd509.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358c8c0e7bc2f31f50d9aab6b2f84f5b.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b7442b37570f882b1b7bafbb2459bf.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28933f93d4952657848a1564f37bd6e5.png)
(4)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a7ac80b964f5baf79f5faa7ac1e2983.png)
以上四个说法中,正确的个数为( )
A.1 | B.2 | C.3 | D.4 |
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7 . 已知
,
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a5ab2dbc702cc6c93cbfee75f0ba70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a0bedf0b5c0d7443b4ba4d88a4d383.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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8 . 已知
,且
.
(1)求
,
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1eca7f8e63042b1c98badc0d9e36af1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353b4f6ed38b5bd83d2f0fa64d686cef.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8c56d09485b718a85ed23f637e2d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a86df8b3934891c1d2e9016f6c4477.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15d37ff33a395f8d35659abf4a34f0f.png)
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解题方法
9 . 已知集合
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4f59a3fd052f229e79e5aefa517913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a22f8d9188279429b395c30b2898ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a8578a15f6680468088ae4b38913d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c57a95fc2ee9482b137bb61e21713c4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8da2b31b4d8c7ef16c218d6d23cc534.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20856e9f876a3793bd2a56627a88cc63.png)
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