名校
1 . 已知
,
,且函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189575d7193fe6363865c2a664a89e9c.png)
(1)求
的最小正周期及单调递增区间;
(2)若
为锐角且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8edcf4850813f4c69fe6e9426207dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdb3d88238ec6a94a7d1dedaa9b80d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189575d7193fe6363865c2a664a89e9c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4443d42de2db7505b7a901e51ac74d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
的一段图象如图所示:
的表达式;
(2)求函数
的单调递增区间
(3)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93493236925f6ba8d9bb49e69844d4a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/518658c16aaad574c0765f5a25a8c6b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c71678183652d4b24afda96cdc123048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48483d768da2cbdd867962ce35afd2ab.png)
您最近一年使用:0次
名校
解题方法
3 . 对于一组向量
,
,
,
,
(
且
),令
,如果存在
,使得
,那么称
是该向量组的“1向量”.
(1)设
,
,若
是向量组
,
,
的“1向量”,求实数x的取值范围;
(2)若
,
,则向量组
,
,
,
,
是否存在“1向量”?若存在,求出“1向量”;若不存在,请说明理由;
(3)已知
,
,
均是向量组
,
,
的“1向量”,其中
,
.设在平面直角坐标系中有一点列
,
,
,
,
(
且
)满足:
为坐标原点,
,且
与
关于点
对称,
与
关于点
对称,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d344174267f996c7cefecfd6985d380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e900404ba71110c5861ced9634646f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67dbe2e19d8960789ec873b687998b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96948298d84df24e10c9a1ed3da62340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd2c3166d0bfd9e64bdc85081445e95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527093b2ec760913d0dccff8a099248b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f323477e57003503694207cb16a685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bf5df9243d25b1fd1ef84e4a2e1479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36cd1fbc82360a6f0f422591ac05cd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de009d9df65374c870a4012cf5db28df.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3d9b654783082de6e90d338c5c454c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67dbe2e19d8960789ec873b687998b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d344174267f996c7cefecfd6985d380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e900404ba71110c5861ced9634646f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67dbe2e19d8960789ec873b687998b58.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74da885934fa5f71f25b65d46346920c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d344174267f996c7cefecfd6985d380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e900404ba71110c5861ced9634646f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67dbe2e19d8960789ec873b687998b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbe509a56b477c79a288a227a737996.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d344174267f996c7cefecfd6985d380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e900404ba71110c5861ced9634646f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67dbe2e19d8960789ec873b687998b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d344174267f996c7cefecfd6985d380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e900404ba71110c5861ced9634646f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67dbe2e19d8960789ec873b687998b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9112bd58ae60d2516b67de408465ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca270240c9c1d115d3c60b58d1556c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f88df6d5230b66381897f960f5f512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b6b6467f94bbc9916e47bade380929b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8101a8f0dfea30e5e05aa87c6abdcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d1fb46bb932bb6d0edb7617e1ed170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bb85da6db44b415f254d4ca0075ad07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f306a75051c9a11c92aa30a836a016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b5ea93b62e9b06f0060ab0d09e6633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc4dc226800792c55eaa32134041837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13215fec5fb9d2a4f19a60ddc7fdb70.png)
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4 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b16a66740d7b104d01381235b5b7d8.png)
______ ;若
且
,则
的取值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd2dad59f490247d4ab39b27b4c2b09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b16a66740d7b104d01381235b5b7d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3869b0b2649fbd8d027c151e77506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6429783ab491d999a8698dd3562aed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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名校
5 . 在平面直角坐标系
中,角
以
为始边,终边在第三象限.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-05-09更新
|
1591次组卷
|
5卷引用:北京市海淀区2024届高三下学期期中练习(一模)数学试题
北京市海淀区2024届高三下学期期中练习(一模)数学试题北京市第三十五中学2023-2024学年高一下学期期中测试数学试卷(已下线)3.1 三角函数的概念及三角恒等变换(高考真题素材之十年高考)(已下线)模块五 专题4 全真能力测试2(人教B版期中研习)四川省绵阳中学2024届高三下学期高考模拟(一)理科数学试题
名校
解题方法
6 . 已知
和
是关于x的方程
的两实根,且
.
(1)求m的值;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f7450c5817a624a130815ef335e6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852ee43623810aa15a260de31f09674d.png)
(1)求m的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
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解题方法
7 . 已知函数
,
.
(1)求
,
的值并直接写出
的最小正周期;
(2)求
的最大值并写出取得最大值时x的集合;
(3)定义
,
,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77780f38ba6004427c8a4e8970f23446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aedc1c8a16e306bcd6e5154f9ed6dfc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc10e023f4f70f39dd3da52874ba616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19a554d16fa1c2160f68fb8760ffcb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a87fcbe510ec0aef68dd5f2b207f2f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f7f23e7f20dd8bc65a4967cd306782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7028a2a582526386c5ea7babcebf073.png)
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8 . 设
,则a,b,c的大小关系为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732579a4dce080afca7dcdd3848cceb8.png)
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解题方法
9 . 已知
满足:
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5acb85cce3c0e8690fb31a0fd8b53a5.png)
__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46902ee9fbd30111d7831f1fc7b79641.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320c4027d26d5ab85f9280dc951ea5be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5acb85cce3c0e8690fb31a0fd8b53a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46902ee9fbd30111d7831f1fc7b79641.png)
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解题方法
10 . 在
中,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff368d244114153f5ccb68022bb2c2d.png)
__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69aac8b6b16676c948ca2862a371186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff368d244114153f5ccb68022bb2c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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