2024·全国·模拟预测
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1 . 在
中,
分别是角
所对的边,
为边
上一点.
(1)试利用“
”证明:“
”;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(1)试利用“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/206bc3c5c7f06544ebc6fea332a1e355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac2e0bda3b5fd4591523e4d5e3bcd73.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a5db0f7970a27d651ed8ae0b4f3662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-01-14更新
|
362次组卷
|
3卷引用:2024南通名师高考原创卷(一)
解题方法
2 . 已知正三棱柱的9条棱长都相等,在
上有一点P,平面
,平
与平面
所成角分别为
.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a1e954ae60233380459e4f9dbd9438.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c1f914da4657eca7865982b130b299.png)
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3 . (1)试证明差角的余弦公式
:
;
(2)利用公式
推导:
①和角的余弦公式
,正弦公式
,正切公式
;
②倍角公式
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eee3f1c9130daa032e8cca82a339ad03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6276ff5468f5aa9c6eaff479c26cc7.png)
(2)利用公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eee3f1c9130daa032e8cca82a339ad03.png)
①和角的余弦公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af2b192544f360cdaca81ce533b5271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e93f28dbf8ba07ea1f8fa9eece0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc799802966e0e59fcde18dc3140225.png)
②倍角公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d609b009b3be1329e305bd3802c4e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d849c83c4696ebf978aa99ced19c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c9b03f86d4170819bf16623820d050.png)
您最近一年使用:0次
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4 . 已知点D,P在锐角
所在的平面内,且满足
,
.
(1)若
,求实数
,
的值;
(2)已知
,其中
为
的面积.
①求证:
;
②求
的最小值,并求此时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8488ec91652ad560475f6d45c8e20b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59cbb44ed46540f65fa7efb5e313144.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57766a96c4b7e39bc224fa5917c6be22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ec4fc7447298cbd6f51ee9977b005f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2aa7ba35117b8963954c65934c8f8c.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39344ad1a4a45a1023de6b5bdda76546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a24a8f5e8fb89381f8add6549170345.png)
您最近一年使用:0次
解题方法
5 . 已知
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8fbac731d8c156f20c6915fc3c465bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a70b101c3219d5d43c780e466162809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e2464a8237198919fe95c01a951eef.png)
您最近一年使用:0次
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6 . 《无字证明》就是将数学命题和简单、有创意而且易于理解的几何图形呈现出来.请根据下图写出该图所验证的一个三角恒等变换公式:______ .
![](https://img.xkw.com/dksih/QBM/2020/6/18/2487532571508736/2488907023785984/STEM/67039d3d58bf4de6ac306c0770a5e4fc.png?resizew=166)
您最近一年使用:0次
2020-06-20更新
|
459次组卷
|
4卷引用:宁夏银川唐徕回民中学2020届高三下学期第三次模拟考试数学(理)试题
宁夏银川唐徕回民中学2020届高三下学期第三次模拟考试数学(理)试题宁夏银川唐徕回民中学2020届高三下学期第三次模拟考试数学(文)试题(已下线)8.2.2两角和与差的正弦、正切练习(1)(已下线)第05章+三角函数(B卷提高篇)-2020-2021学年高一数学必修第一册同步单元AB卷(新教材人教A版)
名校
解题方法
7 . 已知锐角三角形
中,角
,
,
的对边分别为
,
,
.
(1)若
,求
;
(2)试比较
与
的值得大小关系并给出证明;
(3)若
,试判断
是否存在最大,最小值?若存在,请分别求出.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19677d3c2e3c2a18d04d566319d8f85e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)试比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031345f8b2b8c802b261f1146b1355fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3b17b3d5aaa589880ca527893db775.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f85678de64dcc06b3efcdb6a127170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6726bd0280c19fc77d6213166a97793.png)
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8 . 已知锐角
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa404d3ff313b0a28a76a48d7d87234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39edb9fc6b853f88df74eeb63f9cd0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c428f778ad65759a35d411e9fd98ea3a.png)
您最近一年使用:0次