名校
解题方法
1 . 下列命题中,错误的是( )
A.若随机变量![]() ![]() |
B.若随机变量![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() |
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2 . 已知曲线
,点
在曲线
上,给出下列四个结论:
①曲线
关于直线
对称:
②当
时,点
不在直线
上:
③当
时,
;
④当
时,曲线
所围成的区域的面积大于
.
其中所有正确结论的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6840ea508d1b45c5c981e563c5b40ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
①曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdbf6506e9de40da0f3c51b81b35a901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5212f9b39ca710f0349e1b3652bc6a.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b948f029b4600c8280ee9b55237acfd.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
其中所有正确结论的有( )
A.②③④ | B.①②③ | C.①② | D.③④ |
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解题方法
3 . 已知
.则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ce4eef83cf8c2009cc3d99776b0123.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() |
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4 . 已知抛物线
为
上一点,
,当
最小时,点
到坐标原点的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7aaf1f1537cd7e523a94ba215baf65e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e9c11cc36320090d0aaf0c621a63b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49baa6be8bdfb0d4970a152d63cac471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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5 . 已知
,
,
,且满足
,则
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec336faee8689281a6f6b465e7fcff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01de20123a39eb6093fe9d9607ca9c30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c6edc0212bd0eeef1a83dd4772d087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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6 . 已知正实数a,b,c,
,则
的最大值为__________ ,
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8792eaab0b6464e5d07436c64aa751a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a24d47ce2823aab053dbbc6d0d19169.png)
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解题方法
7 . 在
中,角A,B,C的对边分别为a,b,c,且
.
(1)若
,求
的值;
(2)若
为锐角三角形,求证:
;
(3)若
的面积为
,求边AC的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3666936628c30227f3681fe7b9ecc513.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92198fea8c3ac4bec2ba9997128a494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa468d13cbc7c4602094dabd468638c1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c9ec55cfd80790615fc4d61c03b44c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f190b17530d81d927c358ac84757a4.png)
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解题方法
8 . 在
中,角A,B,C的对边分别为a,b,c,且
,且
,则
面积的最大值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a35b9a88d1b6fbf5f02f0522420ff9aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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9 . 已知对任意
,且当
时,都有
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f749a197d55fb5d375ce405252da2e54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb4a1bf55df740edb62e3397291a4f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
10 . 已知函数
在区间
上单调递增,则实数
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6320cbb9bc37ad2d5bdc35020dba5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e88ebfb5c0d6cce558b515be06404d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.4 | B.5 | C.2 | D.![]() |
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