1 . 已知函数
.
(1)求函数
的最小正周期和值域;
(2)若
为第二象限角,且
,求
的值.
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572004952006656/1572004957847552/STEM/98abd7fa9cf44b56a257fe47b8f77efd.png)
(1)求函数
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572004952006656/1572004957847552/STEM/db6084c57bac47559edd406ad037ff45.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572004952006656/1572004957847552/STEM/a7c5cc2693e146b19851b8092c0949ff.png)
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572004952006656/1572004957847552/STEM/d0fda06481a04bf5a4a0f16e9b6c7a35.png)
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572004952006656/1572004957847552/STEM/32abc3fdb5b34180b956402c2fa53048.png)
您最近一年使用:0次
2016-12-03更新
|
221次组卷
|
2卷引用:2011-2012学年广东始兴县风度中学高一数学竞赛试卷
2 . 在
中,
,则此三角形( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a178423970aa1dc77e516f2f04e1d549.png)
A.一定是锐角三角形 | B.一定是钝角三角形 |
C.一定是直角三角形 | D.以上均有可能 |
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解题方法
3 . 命题
无实数解,命题
无实数解. 则下列命题为假命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64b958537d9da1f15a64ff9cdeb471b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beec047a14a9cb5417f24f9a60419087.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2016-12-04更新
|
328次组卷
|
3卷引用:第十三届高二试题(B卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
解题方法
4 . 已知实数
满足方程
,记
的最小值为
,则以
为圆心,
为半径的圆的方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370457261d4292d9650b2fa864ae83a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6870cb66d351058d94f8ed6f26cd8e44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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解题方法
5 . 在
中,三个内角
所对的边分别为
;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b53e0bdac1e1e0c90821e5f8f951afd.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43130355762bb7cbe2bc4db08722449e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b53e0bdac1e1e0c90821e5f8f951afd.png)
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6 . 如图,在平面直角坐标系中,锐角
的终边分别与单位圆交于
两点.
点的纵坐标为
,求
的值;
(2)若角
的终边与单位圆交于
点,设角
的正弦线分别为
,
,求证:线段
能构成一个三角形;
(3)探究第(2)小题中的三角形的外接圆面积是否为定值,若是,求出该定值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a51d1b837014b65eed81b02fcfb7d92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c79fc0cb461a911eb17f7d49f9f117.png)
(2)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09f25887f9317cefeb439934305c7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8bdcb1b46116b54435ae4ea5656fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b93a2325daab9d0818c381107c7538b.png)
(3)探究第(2)小题中的三角形的外接圆面积是否为定值,若是,求出该定值;若不是,请说明理由.
您最近一年使用:0次
7 . 设集合
,集合
,则
等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac6acc8e3cc73b66ba1b7219dd7de74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f033ecfc162c30b8169bee4cab7fd8a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-03更新
|
538次组卷
|
3卷引用:第十二届高一试题(A卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
2012·河南·二模
8 . 下列命题中是假命题的是( )
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
13-14高三·四川绵阳·阶段练习
解题方法
9 . P是以
,
为焦点的椭圆
上的任意一点,若
,
,且
,
,则此椭圆的离心率为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253d66c988026ffcfe1e9a8e89dd2e71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afbcd3c73e89c455464b2882fd1b987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bffa11cdf72b5e2467ada6bf78befdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b291445e61f53061200d5d0d31f678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f62cb0a85d71f431a61db26ce2003b.png)
您最近一年使用:0次
10 . 已知扇形
的半径等于1,
,
是圆弧
上的一点.
(1)若
,求
的值.
(2)若
,①求
满足的条件;②求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950e673dc286ecdfa54dc7ab146770b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e4022717d84a8de4928df755792919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a66e27ef92fcc51530e54533e23973.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37dd0802f896556180545ae356e90c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec6fb9e0625b85be3103d317fbb0cca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c07b101a1a118c7558a9e59b13c95c.png)
您最近一年使用:0次
2016-12-03更新
|
629次组卷
|
3卷引用:第十一届高一试题(B卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)