名校
解题方法
1 . 已知
,
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07e5bf3091755b1a458d38788bb0b2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece9d84b5300dc2c78a975e47aa88f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/226b4348e4f0168462b01ff94b24bcb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b4be6c7e4f02271d3b04d9d33641f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7dc4a8ca221732931bb72442a15df14.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知命题
:
,
,则命题
的否定是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8552695a1ae885928d732bbae8f2f40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0dbd44784798a0dd128503f721d59f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 在某学校组织的学科竞赛中,甲、乙、丙三名同学从数学竞赛、物理竞赛中任选一科参赛,则甲、乙两名同学所选竞赛科目相同的概率是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知函数
在
上单调.
(1)若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12127664a2b33675602275cfce075879.png)
①写出
的一个对称中心;
②求
的值.
(2)若
在
上恰有3个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321d7c14d11ad1d72fe704b93cbe878e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ec440191e19ee3902e555c4816096a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12127664a2b33675602275cfce075879.png)
①写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57d02269f97ea73ebe6a9d756d3450a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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解题方法
5 . 已知函数
.
(1)若函数
为奇函数,求实数
的值;
(2)求函数
的值域;
(3)求函数
的单调区间;
(4)若关于
的不等式
的解集
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82fa3d1f6c418c27e89ff30430f7b0e9.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(4)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0117fc237a59fcc07a45d8bfbb9b8468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f177814752ff64f02a988c4bffe80a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
6 . 在
中,内角A,B,C的对边分别为a,b,c,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba19f9dbd8a0a559a6844c54a2ae6e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求C;
(2)若
,求
周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba19f9dbd8a0a559a6844c54a2ae6e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求C;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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7 . 已知
是边长为
的正三角形.
(1)求
的值;
(2)设
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d808aaeab0898dc2f2234d4f7d4b7a.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69035a9c0bc4ddc83d0cc12c25a9246.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a4535443747b3c3cdc4780433bd2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b6c23104ed86d2fb8716141720ac2a.png)
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解题方法
8 . 某中学举行了一场诗词竞赛,组委会在赛后抽取了部分参赛选手的成绩(百分制)作为样本进行统计(每组为左闭、右开的区间),作出了图1的频率分布直方图和图2的茎叶图(中间三行污损,看不清数据).
(2)分数在
的参赛选手中,男生有3人,现从该组抽取3人“座谈”.请选择合适的表示方法写出样本空间,并求至少有1名女生的概率.
(2)分数在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328fcb58a789bd05648864910ede4d36.png)
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解题方法
9 . 已知函数
,
,
.当
时,
的图象至少向右移动________ 个单位长度可以得到
的图象;若
使
对
恒成立,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2bb7354fb64b7bf5ae232a93747955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18012858f9d9bf65a117d28af01a4df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05a467ddaa138590b3b56615c2c42a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b46e325d705925a44b2f8b17a5fafd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/574d748e941b906f56315827fdab099e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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解题方法
10 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c2abdd2b3878f6fbe9d44e2434947b.png)
____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa36816a6b94d5facee8af3c5dcc6c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c2abdd2b3878f6fbe9d44e2434947b.png)
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