2023高一·江苏·专题练习
解题方法
1 . 在△ABC中,点D在边AB上,CD平分∠ACB.若
,
,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e3c8568426a3ce8f91204cdb11568b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29276b43a2950ed71f0f9629a35dfa74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404067afb19bd74f447a6c0c832af1da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1070a28cb9cb8553c29747d1993b16.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
2 . 已知向量
.若
与
共线,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a516f42d4a92946f910a1d482c65e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afc391105ca04c187e6be5bd77acc78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.1 | B.3 | C.![]() | D.![]() |
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2023-07-22更新
|
508次组卷
|
2卷引用:【北京专用】专题06平面向量(第二部分)-高一下学期名校期末好题汇编
名校
3 . 已知复数
,复数
,
,
,
所对应的向量分别为
,
,其中O为坐标原点,则以下命题错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef015c99536d13f1386bbb9a1dcaecea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f6398f6c1b247ccb5da442f9c5b4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a30deb1f343048675b9b231620369668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1640d3fff861f45c5eb4019943b000f.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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2023-07-21更新
|
355次组卷
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3卷引用:第9章 复数(单元测试卷)-同步精品课堂(沪教版2020必修第二册)
(已下线)第9章 复数(单元测试卷)-同步精品课堂(沪教版2020必修第二册)上海市实验学校2022-2023学年高一下学期期末数学试题广东省广州市铁一中学2023-2024学年高二下学期3月月考数学试题
名校
4 . 已知A,B,C为圆O(O为坐标原点)上不同的三点,且
,若
,则当
取最大值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89acc82cb747ff57569b0bcaf68f877d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed367b88668d973e54bbae632e92c628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d9e6ae2b22b22796fc2b4a648ae65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41739aba7b72382ebcaff8f4338da0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89acc82cb747ff57569b0bcaf68f877d.png)
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5 . 已知向量
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b03c2061dae596f6d5775d2fb63cc5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88560eb2237171cf5ee476f6ba98c4f5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知向量
.
(1)设
,求
的最小值;
(2)若向量
与向量
的夹角为钝角,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97f47edb5db1891b07c70f41630c2ef.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aff8d9b6533ff319420cdc5e8740b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fbb72400fb07e817f3c64a1d718347.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12dfa2b2e9488107d07fdac71f433774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc20644e220b5abd6ca29a666760dfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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名校
7 . 在平行四边形
中,点
为边
中点,点
为边
上靠近点
的三等分点,连接
,
交于点
,连接
,点
为
上靠近点
的三等分点,记
,
,则下列说法正确的是( )
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184359fe3cadc363cf4ebe586c2b3db4.png)
A.点![]() ![]() ![]() |
B.若![]() ![]() |
C.![]() |
D.![]() ![]() ![]() |
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2023-07-21更新
|
957次组卷
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6卷引用:第一次月考选择题压轴题十四大题型专练-举一反三系列
(已下线)第一次月考选择题压轴题十四大题型专练-举一反三系列(已下线)专题05 平面向量基本定理-《重难点题型·高分突破》(苏教版2019必修第二册)(已下线)高一下学期期末复习选择题压轴题二十三大题型专练(1)-举一反三系列(人教A版2019必修第二册)江西省景德镇一中2022-2023学年高一下学期期末考试数学试题(已下线)第二节 平面向量基本定理及坐标表示 A素养养成卷(已下线)专题01 平面向量-《期末真题分类汇编》(人教A版2019必修第二册)
解题方法
8 . 在边长为3的正方形
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71692d167f92589f2bd14a092f94c7ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a266061480a8fc7cedf28435e913b0.png)
A.-5 | B.5 | C.15 | D.25 |
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2023-07-20更新
|
672次组卷
|
5卷引用:模块五 专题1 全真基础模拟1(苏教版高一)
(已下线)模块五 专题1 全真基础模拟1(苏教版高一)【江苏专用】专题04平面向量(第二部分)-高一下学期名校期末好题汇编江苏省南通市2022-2023学年高一下学期6月期末数学试题(已下线)模块四 专题1 重组综合练(江苏)(已下线)安徽省天域全国名校协作体2024届高三下学期联考(二模)数学试题变式题1-5
2023高一·江苏·专题练习
解题方法
9 . 已知向量
与
不共线,且
,
,
,若
,
,
三点共线,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e73db31aecdde14e0002f082d9091df0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2980a18e4d0a2a795b7983a1a1866db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44abbf61def9baca7599b8b06d542189.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/109d0ee3ab6d165a662831726ff61b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549f99e6e10e61af2e7734c4d01ea90c.png)
A.![]() | B.2 | C.1 | D.![]() |
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名校
10 . 已知
,
,
,
.
(1)
为何值时,点
在
轴上?
(2)若
与
的夹角是钝角,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1a9821a00b71f6b7d7a76d91b3f810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dab74e16403e8131f9f5b2a74f3a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f02f72969839fc9bbc9aed59b4a76e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e655ad1007f9ac4a71e94a5b6200ad8.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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