解题方法
1 . 已知
的内角
所对的边分别为
,记
的面积为
,且满足
.
(1)求角
;
(2)若
,且
,求
.
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6134306ada7635c824eb9211b937e9c3.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc5beb50fc0311177a8499ae39c55f66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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河北省名校联盟2023届高三上学期第二次月考数学试题河北省邢台市南和区等4地2022-2023学年高三上学期11月期中考试数学试题(已下线)河南省济源市、平顶山市、许昌市2022届高三文科数学试题变式题16-20
2 . 写出一个同时满足下列三个性质的函数:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
__________ .
①
为偶函数;②
关于
中心对称;③
在
上的最大值为3.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
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3 . 已知函数
,将
的图象向右平移
个单位长度后得到函数
的图象,点
是
和
图象的连续相邻的三个交点,若
为钝角三角形,则
的值可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb98e68b6ffb0798a4de2585cbad095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55bffff88c5bc4c45c64122f954bbe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.1 |
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4卷引用:河北省名校联盟2023届高三上学期第二次月考数学试题
河北省名校联盟2023届高三上学期第二次月考数学试题河北省邢台市南和区等4地2022-2023学年高三上学期11月期中考试数学试题(已下线)模块七 第1套 迎接高考之必做基础热身题1(数列 三角)(已下线)6.4.3.1 余弦定理——课后作业(提升版)
名校
4 . 设
,
,则( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e3e1c1513b3e14eab93a97aceed52b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
A.![]() ![]() |
B.![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354d106f1cc5c9b2427b19bd6eeb7908.png)
,直线
为
图象的一条对称轴,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354d106f1cc5c9b2427b19bd6eeb7908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b31a32e133146188d93fb7e41b05d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008b7b2dd2de30700973d36ab8f57372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() |
B.![]() ![]() |
C.![]() ![]() |
D.若![]() ![]() ![]() |
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解题方法
6 . 在等腰梯形
中,
,
,
,沿
将
翻折,使点
到达点
的位置,连接
,如图所示.已知三棱锥
体积的最大值为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/30/d2f5471f-3db4-4c67-b9b8-cd0048aed117.png?resizew=310)
(1)求
;
(2)若二面角
为
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0760712e3e2ea02b755b751e760d0c55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57d94849283e5641f363a8f54e8fd8e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c7844c9540580ad64b08cdb637a70e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05740f0c6071846227dc0ec177ad15e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dddb32a7a5c157fdf8aa049b2d665b4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/30/d2f5471f-3db4-4c67-b9b8-cd0048aed117.png?resizew=310)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f0ac3005d5ecd6d4cea0ce99a47ef3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
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解题方法
7 . 已知
分别为
的三个内角
的对边,
.
(1)求A;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.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/4ef1cedd1d3fa0afddff799901d914c1.png)
(1)求A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa22a8140c2f663447e1eed3abf67b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe29c42302504e7fd8577dbc7d130ac7.png)
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河北省唐山市开滦第二中学2023届高三上学期第三次线上考试数学试题辽宁省朝阳市建平县实验中学等校2024届高三上学期12月联考数学试题(已下线)第6章 三角(2)(A卷·知识通关练)-【单元测试】2022-2023学年高一数学分层训练AB卷(沪教版2020必修第二册)
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解题方法
8 . 已知
是双曲线
的左、右焦点,过点
作圆
的切线,且切线与
的左、右两支分别交于
两点,若
,则
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3b3a2962f71df3484acb97db753c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d3485e8f8f37dae25529550599f906.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解题方法
9 . 如图,已知
,点
是以
为圆心,5为半径的半圆上一动点,若
为正三角形,则四边形
面积的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4ab0cbcf1eaecea7423b50fcf955a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea16ceca816f7d3d50650af141baf42.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/452a1981-2480-4112-880b-48b577dee814.png?resizew=175)
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10 . 已知函数
的图象经过点
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df355244abdf8fa7b7cecb83dbf7c00a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fefeac0d38a1a529666ebbb9278835a2.png)
A.点![]() ![]() |
B.函数![]() ![]() |
C.函数![]() |
D.直线![]() ![]() |
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