名校
解题方法
1 . 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 |
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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
2 . 在复平面内,复数2
,4对应的点分别为A,B.若C为线段AB上的点,且
,则点C对应的共轭复数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26814833891fa358a17a1833594e043.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:贵州省贵阳市五校2022届高三11月联合考试数学(理)试题(三)
贵州省贵阳市五校2022届高三11月联合考试数学(理)试题(三)(已下线)三轮冲刺卷03-【赢在高考·黄金20卷】备战2022年高考数学(理)模拟卷(全国卷专用)河南省豫北名校2021-2022学年高二下学期5月调研考试文科数学试题(已下线)1.3 复数(精讲)-【一隅三反】2023年高考数学一轮复习(提升版)(新高考地区专用)(已下线)第七章 本章综合--考点强化训练【第一练】“上好三节课,做好三套题“高中数学素养晋级之路
名校
3 . 已知向量
,
.
(1)若
,求x的值;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4de2c3df399cb09833a7b1d2d9fded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0b5faa6b057cf47fea209944e267c73.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5edac4054d1245f3af34d645048ec.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f599e86ee27aa7fc82295c107c06a00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f643616cd3d2459c506c8647641f081f.png)
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7卷引用:贵州省贵阳修文北大新世纪贵阳实验学校2022届高三9月月考数学(文)试题
贵州省贵阳修文北大新世纪贵阳实验学校2022届高三9月月考数学(文)试题贵州省贵阳修文北大新世纪贵阳实验学校2022届高三9月月考数学(理)试题(已下线)第9课时 课中 平面向量数量积的坐标表示(已下线)第8课时 课中 平面向量数乘的坐标表示吉林省四平市第一高级中学2021-2022学年高三上学期第一次月考数学(文)试题(已下线)第10讲 平面向量数量积的坐标表示新疆阿克苏市实验中学2022-2023学年高一下学期第二次月考数学试题
名校
解题方法
4 . 已知抛物线
,过点
且斜率为
的直线与
交于
,
两点,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab27bcb94ea22d0f21e0280984cd335c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c454d7cebb5355b61d71cafb47afd72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea56f14c1f881678070e48fa5608ed19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/e9812334b39b98889cfd13beef6fe2e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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贵州省六盘水红桥学校2022届高三适应性月考数学(理)试题云南省师范大学附属中学2022届高三高考适应性月考卷(二)数学(理)试题云南省师范大学附属中学2022届高三上学期高考适应性月考卷(二)数学(理)试题(已下线)9.5 抛物线(精讲)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)
名校
5 . 已知向量
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1219c027576471e5960fe9841dba70a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36388f576c5a8aca05d461dd8ca3160b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2020-12-27更新
|
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10卷引用:贵州省贵阳市、黔东南州部分重点高中2021届高三年级联合考试数学(理科)试题
贵州省贵阳市、黔东南州部分重点高中2021届高三年级联合考试数学(理科)试题辽宁省辽阳市2020-2021学年高三上学期期末数学试题湖南省岳阳市第一中学2020-2021学年高二上学期第三次质量检测(期末)数学试题重庆实验外国语学校2021届高三下学期开学考试数学试题江苏省南通市重点中学2021-2022学年高三上学期9月强基测试数学试题山东省淄博市淄博实验中学2021-2022学年高三上学期9月月考数学试题福建省三明第一中学2022届高三上学期学段考数学试题陕西省2020-2021学年高三上学期12月联考文科数学试题陕西省2020-2021学年高三上学期12月联考理科数学试题湖南省联合体2020-2021学年高三上学期12月联考数学试题
名校
解题方法
6 . 已知向量
,若
,则实数x=_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1747f86d5d295df264a601e0ba69dc58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70facc9bc02af0867d248407bd317c05.png)
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2卷引用:贵州省2021-2022学年高二12月学业水平考试数学试题
名校
7 . 已知向量
与向量
平行,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016e4d15ab8f5359f6aa3b42674b0c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15338026622ed1c7c9835b78de9c442f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.0 | B.1 | C.2 | D.3 |
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|
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2卷引用:贵州省贵州师范大学附属中学2021-2022学年高二10月月考数学(理)试题
解题方法
8 . 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)
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|
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|
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
9 . 已知向量
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8d492a09c228d110f2bcaa8c2a24a2.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd53312f8ad743388a7ef3da7ef9a543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3facab5a980cf87bea0454c3c6031ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/523c74d21b7934a09348b1a01e1ae606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8d492a09c228d110f2bcaa8c2a24a2.png)
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解题方法
10 . 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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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)