名校
解题方法
1 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99bfb7ecf17bdd90e1a632ebe4499f23.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a1567a4d71ab14e8a8de261760777.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99bfb7ecf17bdd90e1a632ebe4499f23.png)
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3卷引用:2017届湖北省百所重点校高三联合考试数学(理)试卷
2 . 设函数
,其中向量
,
.
(1)求函数
的最小正周期和
在
上的单调递增区间;
(2)当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b11eeda104db8bca949d535f0674d98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e363f0c4d6c66d1e01d9fc57724ede9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53316bdccce145ef6332b27cf7908ee.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a3f13094a8d249dcca5a51fe148764.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d10d27b54d9c9db023338c1e5a7c9c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55e32e7f67e97cbb2280da3044df9432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 已知函数f(x)=2cos2x+
sin 2x,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0be07495dbc744e1ecabac66f748218.png)
(Ⅰ)求函数f(x)的单调递增区间;
(Ⅱ)将函数f(x)图象上所有点的横坐标伸长为原来的2倍,纵坐标不变,得到函数h(x)的图象,再将函数h(x)的图象向右平移
个单位后得到函数g(x)的图象,求函数g(x)的解析式,并求g(x)在[0,π]上的值域.
![](https://img.xkw.com/dksih/QBM/2016/11/1/1573107064438784/1573107070091264/STEM/6bdf80764fd04943a59f5c433ff0dbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0be07495dbc744e1ecabac66f748218.png)
(Ⅰ)求函数f(x)的单调递增区间;
(Ⅱ)将函数f(x)图象上所有点的横坐标伸长为原来的2倍,纵坐标不变,得到函数h(x)的图象,再将函数h(x)的图象向右平移
![](https://img.xkw.com/dksih/QBM/2016/11/1/1573107064438784/1573107070091264/STEM/8ddba75d767e41c08189a820722b3568.png)
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3卷引用:2015-2016学年河南省商丘市第一高中高一理下学期期末考数学试卷
4 . 已知函数
.
(1)当
时,求函数
的值域;
(2)已知
,函数
,若函数
在区间
上是增函数,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c166c1c98ac4e38636a0ad526267c8.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b392ae979e54da7e26bbc2d967a72666.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1513d7c25e7a094f1d749a9d56af698b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21b50b4e302c90cca3c8f8a46e95274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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2016-12-04更新
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4卷引用:2017届湖北省百所重点校高三联合考试数学(文)试卷
名校
5 . 已知函数
.
(1)求函数
的最小正周期和单调递增区间;
(2)若
,且
的最小值是
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11620a3f87c0e70059db4c6de1c90cc3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6885b23dbe7fb5f3024020fe69c7f5de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3d1777146fa62b4539aef795f3c0cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3c99aaf06341ab22f14bb4c98b6290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5fffd330dd6b9241659d790bd2a7fb2.png)
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7卷引用:2017届湖北省百所重点校高三联合考试数学(理)试卷
6 .
的大小关系为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3034410af3a8d232be9f89dfc6c30cc0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6卷引用:2017届湖北省百所重点校高三联合考试数学(理)试卷
7 . 已知函数
.
(1)求
的最小正周期;
(2)设
的内角
的对边分别为
,且
,若向量
与向量
共线,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9fbe93a5686d4f2b90815f890de09c4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edd51c782333e04862704165622ad68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbf5887ebf0a2fb425dc594bb983585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a41a8c9b2ca7daa841175135fe70655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed4f647928df5e6aa8dbab1a243ac40.png)
![](https://img.xkw.com/dksih/QBM/2016/10/28/1573100080021504/1573100086059008/STEM/eaabed07ab04479a9226c90bc6a5e91c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
您最近一年使用:0次
名校
8 . 已知
,向量
满足
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09225953caa840055397bc34d4f0726c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c308ea87b699ee1dcb879a568899de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9d0fffac0ac202601631344af016bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d2bb1248ff1123ebc2cb9d7fc16d25.png)
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4卷引用:2017届安徽六安一中高三上学期月考二数学(文)试卷
9 . 如图,在扇形
中,
,以点A为圆心,
的长为半径作
交
于点
. 若
,则阴影部分的面积为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411a4d585638cb738ddbeb33d9c2ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774f83067ed956a551bc41adcce0469.png)
![](https://img.xkw.com/dksih/QBM/2016/10/26/1573097030287360/1573097036120064/STEM/f456013acd044070ad7e60adcfa697f2.png?resizew=150)
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名校
10 . 如图,在平面直角坐标系
中,以
轴正半轴为始边的锐角
和钝角
的终边分别与单位圆交于点
,若点
的横坐标是
,点
的纵坐标是
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/25/b5097e59-501b-4c08-a52d-3bb0b88bb640.png?resizew=129)
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.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/a69d166677557cadb3da32b4a7e152e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9868f77d5ab5073b6145f1c6d272122e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/25/b5097e59-501b-4c08-a52d-3bb0b88bb640.png?resizew=129)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d521f8d021b20757d7a68107fcef1d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
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7卷引用:2017届江苏南京市高三上学期学情调研数学试卷1
2017届江苏南京市高三上学期学情调研数学试卷12017届江苏南京市高三上学期学情调研数学试卷2辽宁省大连育明高级中学、本溪市高级中学2018届高三10月月考数学(理)试题(已下线)专题09 两角和与差的正弦、余弦、正切-2021年高考数学二轮优化提升专题训练(新高考地区专用)【学科网名师堂】上海市南洋模范中学2023-2024学年高一下学期初态考试数学试卷上海市文来中学2023-2024学年高一下学期3月阶段检测数学试题(已下线)考题猜想01三角-期末考点大串讲(沪教版2020必修二)