名校
解题方法
1 . 如图在
中,
,满足
.
,求
的余弦值;
(2)点
是线段
上一点,且满足
,若
的面积为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1371fe98a65d8ebd840c8d98346b6d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be878f5bdce9a3e9939a4ae743c803b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d10072660396c4821badfd7311389e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb8eca20ce2c918ea4034ea15210c7f.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4879a4ce2bc66b7fe3e5ff2b3f3915f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd084e881d380464cc73aee4697f678.png)
您最近一年使用:0次
2024-04-03更新
|
1253次组卷
|
3卷引用:重庆市礼嘉中学2023-2024学年高一下学期第一次月考数学试题
重庆市礼嘉中学2023-2024学年高一下学期第一次月考数学试题(已下线)第九章:解三角形章末重点题型复习--同步精品课堂(人教B版2019必修第四册)湖北省十一校2024届高三联考考后提升数学模拟训练一
名校
2 . 如图,在
中,
是
的中点,
.
,
,求
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662c1357657b89d42e43ad295985389f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dc39e2113669164b4894c2ef739f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d81d732204a3c2384a27606f858677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcedc17f292990a25ffe350f8d7be432.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ba7e0374dabeb58e459f47c5baf952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2024-04-02更新
|
634次组卷
|
2卷引用:福建省莆田第二十五中学2023-2024学年高一下学期第一次质量检测数学试题
3 . 如图,在
中,已知M是边
的中点,
,线段
与
交于点O.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/28b6b1d8-16b4-4b39-b1ee-ed93646607dc.png?resizew=177)
(1)若
,求
的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ee9f129ef243a5d995ad6925e7e30b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/28b6b1d8-16b4-4b39-b1ee-ed93646607dc.png?resizew=177)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a09b217612cd260c67b1a3abe3b105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df7c6c24d94fc098fee12e47a050cdb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/634bcf3a995960a16e29276e46cc6268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
您最近一年使用:0次
23-24高一下·湖南衡阳·阶段练习
名校
解题方法
4 . 在平面直角坐标系中,向量
,
,正六边形
的顶点
位于坐标原点,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0719844e0261af3b625d9673e5926.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/250b7379a3204bf93637bf9969342038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f4745bed62792dd95b1152e6d3c862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bec6c52cc4257a144d598b8c4c99ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6322776c8af2641abdba552a91797bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0719844e0261af3b625d9673e5926.png)
您最近一年使用:0次
名校
解题方法
5 . 如图,在平行四边形
中,点
是
的中点,点
为线段
上的一个三等分点,且
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253dd1bb4882b135dd9fea8666a7906d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2263a304d057d6d4a1f9817aa9d1b55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-01更新
|
635次组卷
|
4卷引用:湖南师范大学附属中学2023-2024学年高一下学期第一次大练习数学试题
湖南师范大学附属中学2023-2024学年高一下学期第一次大练习数学试题广东省中山市永安中学2023-2024学年高一下学期第一次段考数学试题(已下线)第二章平面向量及其应用章末十六种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)(已下线)专题3 以平面几何图形为背景的向量综合问题【练】(高一期末压轴专项)
名校
解题方法
6 . 如图,在
中,点
为
边的点且
,点
在
边上,且
,
交
于点
且
,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a21732cdf4fe8fcbadfe29a1429e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d127d5639a8b81a93d75ff4626060c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c707664e093199c1235bc8c83206c4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce5c3882c2897fe7aee2b03038c58da.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
7 . 在
中,点
是
内一点,
,过点
的直线
交直线
分别于
两点,且
,已知
为非零实数.试求
的值.
(2)若
,且
,设
,试将
表示成关于
的函数,并求其最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc4fc0635e1651eb2d8caad240b859b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9cc092cab61924df0048df59637a720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2272838844227e6874f863f61e2f134b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb183aab96cdb1e25caabda59fb8fbb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39346db456e8935d6d95a14b1d50ccde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661f3c446093390a3be8fe5993c549c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c9d96d2dc0082bb375c3b0e7214bdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d81674538e4af9b8d4946f48d940011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
名校
解题方法
8 . 在锐角
中,
为
边上的高,
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ba7517a258838e45020532d5cb80d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0627c5fbc080e858cea342516ec0f0df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-31更新
|
223次组卷
|
3卷引用:江苏省如皋中学2023-2024学年高一下学期教学质量调研(一)数学试题
江苏省如皋中学2023-2024学年高一下学期教学质量调研(一)数学试题江苏省连云港市东海高级中学2023-2024学年高一下学期3月教学质量调研数学试题(已下线)第二章平面向量及其应用章末十六种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)
解题方法
9 . 如图,在直角梯形
中,
与
交于点
,点
在线段
上.
和
表示
;
(2)设
,求
的值;
(3)设
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54d3106f047d529703433b6dbad96fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083a20abb668d4c26fe5039bd108b40a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf8f16f66227c7c9897bf5d5a863f78.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/015756e8dd84a004652163864e639d61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e785769901eda9d2f346462e228444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92bee4bf1aa98667dd4fe6d9bf18b3b5.png)
您最近一年使用:0次
2024-03-29更新
|
210次组卷
|
3卷引用:河南省创新发展联盟2023-2024学年高一下学期第一次月考(3月)数学试题
河南省创新发展联盟2023-2024学年高一下学期第一次月考(3月)数学试题贵州省遵义市遵义市四城区联考2023-2024学年高一下学期4月月考数学试题(已下线)第二章平面向量及其应用章末十六种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)
名校
解题方法
10 . 在
中,
,
,边AB,BC上的点M,N满足
,
,P为AC中点.
(1)设
,求实数
,
的值;
(2)若
,求边AC的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26fdd8e57562ba94e10e7f1d770826d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88496e57aafc0e6efdf0890da3ce085e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bded420871e5b9a06dd7d3fe922e5f94.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e1b90672782afbf12d58fdcaffdec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22318250dc4985774c13739831044a82.png)
您最近一年使用:0次
2024-03-29更新
|
468次组卷
|
4卷引用:河北省张家口市张北成龙高级中学2023-2024学年高一下学期3月阶段测试数学试题
河北省张家口市张北成龙高级中学2023-2024学年高一下学期3月阶段测试数学试题(已下线)模块五 专题2 全真基础模拟2(人教B版期中研习)河北省张家口市尚义县第一中学等校2023-2024学年高一下学期3月阶段测试数学试题(已下线)模块五 专题2 全真基础模拟2(苏教版期中研习高一)