解题方法
1 . 设复数
在复平面内对应的向量为
,复数
在复平面内对应的向量为
,复数
在复平面内对应的向量为
,且A,E,C三点共线.
(1)求实数
的值;
(2)求
的坐标;
(3)已知点
,若A,B,C,D四点按逆时针顺序构成平行四边形,求点A的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95423c449f5d44dd949bf3b0130946f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c38256d72d3737667a01fd8b7d5fdb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f33a112e9728d7b560199765c815f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1b41ed8a83fecdf8d3a663f80eff61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a102a0887fac660aba1f8124e7ee363.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784cad0f03fd17dd3ba9c2c673fc69ab.png)
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2 . 在平面直角坐标系中,O为坐标原点,
,
,
.
(1)若A,B,C三点共线,求x的值;
(2)当
时,直线OC上是否存在一点M,使
取得最小值?若存在,求出点M的坐标,若不存在,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0e83cd6b510270062651c5f0c3c333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94c73c7bc27b7acd4cbfa273fd2f14c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef169369ab7b380122020b126658c7d.png)
(1)若A,B,C三点共线,求x的值;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7787dfab61ed9830b531da365e592bbd.png)
您最近一年使用:0次
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解题方法
3 . 在平面直角坐标系中,已知
,
,
,
,
,
.
(1)若
,
,
为
轴上的一动点,点
.当
,
,
三点共线时,求点
的坐标;
(2)若
,
,且
与
的夹角
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f88c3775e1fe95e23cb98a32773b0939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a6cbde073b628946a9060f38eb5ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a711587f73e7d40dd3cc3eec615cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823ab696d27d40920c39b8c910789380.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91c3f66a276d8040ae8198b290bab5a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c75aaaa9eb4f05b36a7cf40da572192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3caed74a0f657fc5b04d43a7106cfb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbaeae7045ad94158cdf5ae97073bc17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34bf00aeba15bce2cdee8ab487388dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7821b584d0bc0bce52982a6e4cfdddaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-04-05更新
|
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2卷引用:山东省泰安第二中学2022-2023学年高一下学期3月月考数学试题
解题方法
4 . 如图所示,已知矩形ABCD中,
,AC与MN相交于点E.
![](https://img.xkw.com/dksih/QBM/2022/5/20/2983589792866304/2988967888175104/STEM/ec3e4a1a-ea5b-4972-9354-bfcd88cad468.png?resizew=181)
(1)若
,求
和
的值;
(2)用向量
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc70f128bc2aa063a48e8ce993adf470.png)
![](https://img.xkw.com/dksih/QBM/2022/5/20/2983589792866304/2988967888175104/STEM/ec3e4a1a-ea5b-4972-9354-bfcd88cad468.png?resizew=181)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaff4898c3939d308960fb46d2fc8393.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
(2)用向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c964115940609bd786e059c43e46f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd0cecf5c102254b9755e42a80c3948.png)
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6卷引用:山东省临沂市第二十四中学2022-2023学年高一下学期6月月考数学试题
山东省临沂市第二十四中学2022-2023学年高一下学期6月月考数学试题山东省潍坊市2021-2022学年高一下学期5月优秀生测试数学试题(已下线)6.3.4 平面向量数乘运算的坐标表示(分层作业)-【上好课】2022-2023学年高一数学同步备课系列(人教A版2019必修第二册)浙江省宁波市宁海海亮高级中学2022-2023学年高一(7-14班)下学期第一次月考数学试题(B)(已下线)第02讲 平面向量基本定理及坐标表示 (精练)-2023年高考数学一轮复习讲练测(新教材新高考)(已下线)第02讲 平面向量基本定理及坐标表示 (精讲)-2023年高考数学一轮复习讲练测(新教材新高考)
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5 . 如图,在平行四边形
中,点
是
的中点,点
为线段
上的一动点,若
,则
的取值可以是( )
![](https://img.xkw.com/dksih/QBM/2022/5/23/2985564782600192/2986959413075968/STEM/06600a1f-05db-4a35-9571-2446949c5bd4.png?resizew=171)
![](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/5c5b32af65a05ae7cf426bbeddd22f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af0fa4b61db6003ab853faa63cb9129.png)
![](https://img.xkw.com/dksih/QBM/2022/5/23/2985564782600192/2986959413075968/STEM/06600a1f-05db-4a35-9571-2446949c5bd4.png?resizew=171)
A.![]() | B.![]() | C.1 | D.2 |
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6 . 已知
.
(1)当
为何值时,
与
共线?
(2)若
且
三点共线,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d3fc72d4a0fb653ec4d58089d5e188.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0d6f45010a54e0bfa0b48c90376ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31b07a2081bfaaf77c0062193ab173e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/506a3a55570c64758702272e6eaf9185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c40e45fdb98b87035089ba2d435eb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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