1 . 已知平面向量
,
,且
,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba78111a868b8d0ae8d78a1aff07aa15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81df7e5043c8256f807e0c4995febaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e32b6dc307d12bbd6b850a67b0599620.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-02-21更新
|
1361次组卷
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3卷引用:贵州省黔东南州2020-2021学年度高一上学期期末数学试题
解题方法
2 . 在矩形ABCD中,
BC=2,点F在CD边上,若
则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff007759f7a5e09bc6a78760528bc9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5707f6a166d8069a15504940566b766f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038185491fc19334524967c674e33523.png)
A.0 | B.2 | C.![]() | D.4 |
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2021-02-07更新
|
272次组卷
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4卷引用:贵州省毕节市2021届高三上学期诊断性考试数学(文)试题(一)
解题方法
3 . 在平行四边形
中,
,
分别是边
,
上的两点,且
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2964b9f8eb74f2c1c4c48b4502cfaf5.png)
______ .
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff83ce1a2d686d750bb10a96362fbe24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba4d5e49091e85af01a675bd31ea81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4af3590fbd689b9876816bbf39123f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2964b9f8eb74f2c1c4c48b4502cfaf5.png)
您最近一年使用:0次
2021-02-06更新
|
170次组卷
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3卷引用:贵州省龙里县九八五实验学校2020-2021学年高一上学期期末质量检测数学试题
名校
解题方法
4 . 已知向量
,
,
点为坐标原点,在
轴上找一个点
,使得
取最小值,则
点的坐标是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c78c6cb01a54adb60bb169e3767325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b1d05cac99e0e0ef08674191ce216b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e9e2889745488eafd7b0a03e6b0441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2021-02-06更新
|
3406次组卷
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9卷引用:贵州省黔东南州2020-2021学年度高一上学期期末数学试题
贵州省黔东南州2020-2021学年度高一上学期期末数学试题河北省衡水中学2022届高考一模数学试题(已下线)高一数学下学期期末精选50题(压轴版)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)(已下线)高一下期末模拟测试卷一-【单元测试】(苏教版2019必修第二册)云南省大理州鹤庆县第三中学2023届高三上学期第二次月考数学试题广东省珠海市实验中学2024届高三上学期8月适应性考试数学试题广东省深圳市福田区福田中学2024届高三下学期开学考试数学试题河北省部分示范性高中2024届高三下学期一模数学试题福建省福州延安中学2024届高三下学期第一次模拟数学试题
名校
解题方法
5 . 已知向量
与
共线,其中A是
的内角.
(1)求角A的大小;
(2)若BC=2,求
面积S的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6760372973622285078962bfa8a092ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778d476eb0b7cb5d398966d6947be3c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
(1)求角A的大小;
(2)若BC=2,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
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2021-02-02更新
|
1251次组卷
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6卷引用:贵州省黔西南州兴义市第二高级中学2021届高三上学期期末考试数学(文)试题
贵州省黔西南州兴义市第二高级中学2021届高三上学期期末考试数学(文)试题(已下线)专题25 解三角形(解答题)-2021年高考数学(理)二轮复习热点题型精选精练(已下线)专题23 解三角形(解答题)-2021年高考数学(文)二轮复习热点题型精选精练(已下线)专题24 解三角形(解答题)-2021年高考数学二轮复习热点题型精选精练(新高考地区专用)浙江省杭州市富阳区场口中学2020-2021学年高一下学期3月教学质量检测数学试题浙江省杭州市富阳区第二中学等两校2021-2022学年高一下学期3月检测数学试题
解题方法
6 . 设向量
,若
,则实数
的值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d91b6aaf0ca70d4ddfb5c3e1a5f4590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70facc9bc02af0867d248407bd317c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
7 . 已知向量
,
,且
,
是共线向量,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c43c686644700139e4b71d154082dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62fc12f8e1c38affb6fa16c26644e7b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.0 |
您最近一年使用:0次
2021-01-25更新
|
650次组卷
|
2卷引用:贵州省贵阳市普通中学2020-2021学年高一上学期期末监测考试数学试题
8 . 已知向量
,
,
,
,若
,则实数t的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bedb56850be6b61ffd7da402afa923eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca048e948dae0c9882da9e6a7ce6663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235ff50f2382ca781d50d8ad509f324c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7889d8ac3c5b69e22dd8c03e9290c566.png)
A.![]() | B.![]() | C.4 | D.![]() |
您最近一年使用:0次
名校
9 . 如图,在同一个平面内.向量
,
,
的模分别为1,
,
,
与
的夹角为
,且
,
与
的夹角为
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf5c1d124e8e023fe8e8c5ef3412813.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20ec3efaa6b6ff5769e8999df5714a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4056761b8f826eeb6ad8c9a151d3c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20ec3efaa6b6ff5769e8999df5714a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e70e388af6a9fb1cb4ca416c608d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20ec3efaa6b6ff5769e8999df5714a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d804aeb8e83a5388fc2082f3c15e93f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf5c1d124e8e023fe8e8c5ef3412813.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/c435418d-5c0c-47d6-9296-aa50027bb45b.png?resizew=99)
您最近一年使用:0次
解题方法
10 . 三角形
中,
为
上一点,
,设
,
,可以用
,
来表示出
,方法如下:
方法一:
,∵
,∴
.
方法二:
,∵
,∴
.
方法三:如图所示,过点
作
的平行线,交
于点
,过点
作
的平行线,交
于点
,则四边形
为平行四边形.
![](https://img.xkw.com/dksih/QBM/2021/1/20/2640104919818240/2642144564822016/STEM/e46bd70656bc4e1290c803c7b8f7a853.png?resizew=227)
∵
且
,∴
,
.∵
,
.∴
,得
.∴
.
请参照上述方法之一(用其他方法也可),解决下列问题:
(1)三角形
中,
为
的中点,设
,
,试用
,
表示出
;
(2)设
为直线
上任意一点(除
、
两点),
.点
为直线
外任意一点,
,
,证明:存在唯一实数对
,
,使得:
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b6bef27de230acad352f25e954f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46927389fcb9c1ab2d8fb4bc1e60793a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae92f0c583cc9daf980a8621ad96aef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd98a891fa65f2fc6688001b03185d0.png)
方法一:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2faf140acf4dc3148ab209f5096fefa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d1b7ad1d6ba603972727f457ebc1749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f397d820b66bf77c48424eadf3fa2336.png)
方法二:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af6766b92c8479c8198c2d6d9a4da072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59bf475f75a6abfa4ce63f171b932eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461ac101ddfb180fe398cb7702c6f276.png)
方法三:如图所示,过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48a61d8bedef61745ee4fd89a8c0c119.png)
![](https://img.xkw.com/dksih/QBM/2021/1/20/2640104919818240/2642144564822016/STEM/e46bd70656bc4e1290c803c7b8f7a853.png?resizew=227)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59239d2d861274c15d23a8834e9db6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b6bef27de230acad352f25e954f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75589c129e0da63478f6fc3406de5ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4702acf65eda5a92d577c56715478c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc22c901160e072ae13a66f62c489f21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b6bef27de230acad352f25e954f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ccfd0e99fd67025bc5b74d4d343af3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6a2bb662f6604b3e86528bb73f65de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225a98b9481d9997b6c544e6f4690095.png)
请参照上述方法之一(用其他方法也可),解决下列问题:
(1)三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7a93a1399ff7a2bde342652479241b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3b93d8996e569c0037f461079bcb46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd98a891fa65f2fc6688001b03185d0.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/281bfcea48ab9c55caf853921c164446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef76704cbdfeec00be5a9123b6a4d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3b93d8996e569c0037f461079bcb46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcaf202c5255a2eae98be844ed4e43dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6096acdd2d0ce16e1e45397ec5e365d4.png)
您最近一年使用:0次
2021-01-23更新
|
404次组卷
|
2卷引用:贵州省贵阳市普通中学2020-2021学年高一上学期期末监测考试数学试题