解题方法
1 . 在锐角
中,角
所对的边分别为
,已知向量
,
,且
.
(1)求角
的大小;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a353f82b079a06e32318470cf15143d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf44539769320bfb24b67a85a0a8a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2758285d3c1d8c16784edbc5f572fc26.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
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2 . 已知平面向量
,
,
.
(1)若
,求实数x的值;
(2)若
,求实数x的值;
(3)若
,且
,求
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2775a4cda57ea369a5aec20fc939cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0332444a6c673c861c276eb6b349a86d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f7d08d10754ff3903d139768f40530.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a937afd99946fa08f494134fefac6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61506d34fb4880b68888f707903df89f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
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3 . 已知
中,点D在线段OB上,且
,延长BA到C.使
.设
,
.
,
表示向量
;
(2)若向量
与
共线,求k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67bd635fe0ba6eb7960bf838c6fdf607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8eb792421232db18dc02415163ffe30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420ad6159fc091d6a5ffddf0676d2662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c2e7e9fd8519fd1c293cc577408263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8337706c550bc095d7a2bd872221a1.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8337706c550bc095d7a2bd872221a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9ee97a0e2591dc8b0d05ad887a4d44.png)
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2023-08-17更新
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3卷引用:福建省仙游县华侨中学2022-2023学年高一下学期第一次月考数学试题
福建省仙游县华侨中学2022-2023学年高一下学期第一次月考数学试题福建省宁德市福宁古五校联合体2023-2024学年高一下学期4月期中考试数学试题(已下线)专题05 平面向量基本定理-《重难点题型·高分突破》
解题方法
4 . 已知向量
,
.
(1)若
与
共线,求
的值;
(2)若
,
,且
三点共线,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fce7f6996c58f3e43cd2d6591695b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5a6d96e46431eb0d20b531facda401.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2175d2455f0825cd4ed7bfb05654a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437dc907211c5934f938d869f6b19e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef6e521ddb82a33db3d190c8b1db288f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233e1c43e8017a31fab60368683fcdc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-08-06更新
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10卷引用:福建省漳州市平和正兴学校等2022-2023学年高一下学期期中联考数学试题
福建省漳州市平和正兴学校等2022-2023学年高一下学期期中联考数学试题(已下线)6.3.4 平面向量的数乘运算的坐标表示-高一数学同步精品课堂(人教A版2019必修第二册)(已下线)第07讲 6.3.2-6.3.4平面向量数乘运算的坐标表示(2)-【帮课堂】(人教A版2019必修第二册)(已下线)6.3.4 平面向量数乘运算的坐标表示10种常考题型归类(2)-高频考点通关与解题策略(人教A版2019必修第二册)(已下线)模块一 专题2 平面向量基本定理与坐标运算(讲)(已下线)2.4 平面向量基本定理及坐标表示-同步精品课堂(北师大版2019必修第二册)(已下线)模块一专题2 《平面向量基本定理与坐标运算》 【讲】(苏教版)(已下线)6.3.4 平面向量数乘运算的坐标表示——课后作业(提升版)(已下线)模块一 专题4 平面向量基本定理与坐标运算(讲)北师大版高一期中(已下线)2.4 平面向量基本定理及坐标表示6种常见考法归类(2)-【帮课堂】(北师大版2019必修第二册)
解题方法
5 . 如图,设Ox,Oy是平面内相交成θ角的两条数轴,
,
分别是与x轴、y轴同方向的单位向量,则称平面坐标系xOy为θ仿射坐标系.若
,则把有序数对
叫做向量
的仿射坐标,记为
.
(1)在θ仿射坐标系中,若
,
,
,求t.
(2)在
的仿射坐标系中
,
,求
在
上的投影向量仿射坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d311413261abe82807a41c49a568c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e723e57753f0a4fe1ef8ca1aee0e2117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57a73431f93b1cf7fc1eca6cb79e248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/30/3d17cbaa-0341-4bd0-9f71-2ba0580d7647.png?resizew=146)
(1)在θ仿射坐标系中,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39a89c771da94657b6f910ef265664f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b975e18bc416019b759c5af4ac8aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03481e6a73207be03fdbc1f8e9965b37.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72bf0fce80daad394f2a9d013829c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39a89c771da94657b6f910ef265664f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc9ef1361be1a70c2320c13068d1f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
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6 . 已知向量
,
.
(1)若
,且
为第二象限角,求
的值;
(2)若函数
,求函数
的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648cf1d187f0970cdd27d0b6e0de17f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45241352d1b4b25381414463c23450c9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2758285d3c1d8c16784edbc5f572fc26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1feb9428bab44e84c95b91f8e30e44c7.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6d67047a526cd82486ff86fa530d5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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7 . 在平面直角坐标系
中,角
终边与单位圆O的交点为E,将向量
逆时针方向旋转
,得到向量
,记
.
(1)判断向量
与
的位置关系,并说明理由;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21909dd065ccc349a2cbfd4c3cf4976b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11e2f16b6ce8d0482f1ad9b7105c027b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfac17edc8dd2f6bad43802f02f8fdfb.png)
(1)判断向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d021a5c98388463d577675e58068aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7d3a0680780aaf4549c447fe8dfe9f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baae34553e4b8accfd74855a5bb3493f.png)
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8 . 已知向量
.
(1)当
为何值时,
与
共线?
(2)当
的取值范围为何值时,
与
夹角为锐角?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc60fa671be86ceed18704d8fe668768.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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2023-05-11更新
|
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3卷引用:福建省福州市连江第一中学2022-2023学年高一下学期期中数学试题
名校
解题方法
9 . 在平面直角坐标系中,已知点
,
,
.
(1)如果点
使得四边形
为平行四边形,求顶点
的坐标;
(2)如果点
满足
,设
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184fadeb45ed3632d30b231a3fdf0a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7291b3d921f595f28960abcdce6dfbed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4297d66b9ff42b7b5971a79724dc6db0.png)
(1)如果点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)如果点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5aad4e5b1512c3e535cc57d1ad21cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f988f2455d7e281d10fc063d9297c9a1.png)
您最近一年使用:0次
2023-05-11更新
|
321次组卷
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4卷引用:福建省福州市连江第一中学2022-2023学年高一下学期期中数学试题
福建省福州市连江第一中学2022-2023学年高一下学期期中数学试题福建省福州八县(市)一中2022-2023学年高一下学期期中联考数学试题(已下线)第07讲 6.3.2-6.3.4平面向量数乘运算的坐标表示(2)-【帮课堂】(人教A版2019必修第二册)(已下线)高一下学期期中复习解答题压轴题十八大题型专练(1)-举一反三系列(人教A版2019必修第二册)
解题方法
10 . 已知在锐角
中,定义向量
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
(1)求角B;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db90119362c267d2b7ad15c005a852a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
(1)求角B;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4d2bef1340813d5bd28695f71cee8c.png)
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2023-04-19更新
|
617次组卷
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2卷引用:福建省莆田第十五中学2022-2023学年高一下学期期中测试数学试题