名校
1 . 已知
,命题p:
,
;命题q:
,
.
(1)若命题p为假命题,求a的取值范围;
(2)若p和q均为真命题,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61901f0c23f1994acb34bd8c0c793e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f5e14f6464b4aeadb50f60b75d332b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3729c862a5464eb647f06c43a6279187.png)
(1)若命题p为假命题,求a的取值范围;
(2)若p和q均为真命题,求a的取值范围.
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2 . 已知函数
,
,则
,
满足( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1359c12d196b6bbd25e50dee2844d8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f833f1dcb2c123ef34e516f243ef06ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
3 . 已知
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0289094c4572ceb5ccb0fa305aaa4933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d2b0fb101c0af700fccaa25df967498.png)
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4 . 如图是函数
的图象,则函数的最大值点与单调减区间分别是______ ,_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/12/6ee89981-a92b-43ac-ba07-2da282443a88.png?resizew=170)
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5 . 判断下列函数的奇偶性
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db9856dfa834e969a4027910c2505c7a.png)
(2)
(3)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db9856dfa834e969a4027910c2505c7a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec549f15430d63c3dc6c6e94e7321ee5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b629bea8e22de9bfc49158e2289871.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c2f1ea2e7e9c92216389d9ba51f27c.png)
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6 . 若函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9d59add21497591a0d9c5da663935fb.png)
(1)求
;
(2)若
,求函数值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9d59add21497591a0d9c5da663935fb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c973a941927354f876d804d1a3442649.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3497efc308cbc67c6969b33f29d361.png)
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7 . 证明函数
关于
对称
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be315e528951120e7d551f654d2a1f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962e8fc5643a0b4ff02c8e1f52a76e7b.png)
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8 . 判断函数
的单调性并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc80305350824abe94b9e62187521a37.png)
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9 . 已知
,则下列结论错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f05930837039d924f84f12ec886733d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 一元二次不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b879f00109dd0772f963a871152aabb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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