解题方法
1 . 如图,在平面直角坐标系
中,O是原点.已知点
,
.试求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15754d17006777571fef056a3318aae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49a8c14d5b0847e62d977cbbf775ba31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3daae8ec60b2b1f7577dee687247cebb.png)
![](https://img.xkw.com/dksih/QBM/2021/4/29/2710338829778944/2813666579873792/STEM/5ce8c055-7f03-4c80-97c9-14ca200682c4.png?resizew=264)
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2 . 如图,在平面直角坐标系
中,
,
,
.
,点
的坐标;
(2)求四边形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab135be30075cf115fc94861b0751fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5568c088c7952c658d5f2475ccae40b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb89b197475b41024f672f97fdb8b5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
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2020-02-20更新
|
360次组卷
|
5卷引用:9.4 向量应用 2020-2021学年高一数学同步课堂帮帮帮(苏教版2019必修第二册)
(已下线)9.4 向量应用 2020-2021学年高一数学同步课堂帮帮帮(苏教版2019必修第二册)安徽省马鞍山市2019-2020学年高一上学期期末数学试题(已下线)专题6.10 平面向量及其应用全章十二大压轴题型归纳-举一反三系列(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(1)-高频考点通关与解题策略(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——课后作业(巩固版)
名校
3 . 在一个平面内,一质点O受三个力
、
、
的作用保持平衡,其中
与
的夹角为
,
与
的夹角为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/3418c852-063e-4cd8-98c4-3d86a001c35d.png?resizew=196)
(1)若
,
,
牛,求力
、
的大小;
(2)若
,求
与
满足的关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0985912f741bd0934b10c52452fc9a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c48b15e8d588d0ac4b5f8e23c768f4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d4b28d9326c4adfe9e4c783dba6be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d4b28d9326c4adfe9e4c783dba6be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c48b15e8d588d0ac4b5f8e23c768f4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d4b28d9326c4adfe9e4c783dba6be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0985912f741bd0934b10c52452fc9a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/3418c852-063e-4cd8-98c4-3d86a001c35d.png?resizew=196)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2633314dca947d68468a46ae6dfaa7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099dc1d1da23293c5fa6b17406f1749c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d992c666b03999c35d4aa578596031d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0985912f741bd0934b10c52452fc9a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c48b15e8d588d0ac4b5f8e23c768f4a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d1e73dc3d5cf4e35a9e46e075a3ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
您最近一年使用:0次
名校
解题方法
4 . 已知O为直线
外一点,
(1)若
,求证:A、B、C三点共线;
(2)若O为坐标原点,
,判断
的形状,并给予证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6aff1c674bff5478b85a2d207f61859.png)
(2)若O为坐标原点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3655a675811b46976a3020c5d11545cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
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解题方法
5 . 在锐角
中,角
,
,
的对边分别为
,
,
,用向量方法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1501d4035822b34fcc2378f1e316f159.png)
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2021-07-24更新
|
217次组卷
|
3卷引用:广东省广州市真光中学2020-2021学年高一下学期期中数学试题
广东省广州市真光中学2020-2021学年高一下学期期中数学试题(已下线)6.4.1平面几何中的向量方法(练习)-【高效课堂】2021-2022学年高一数学下学期同步精讲课件+课后巩固练(人教A版2019必修第二册)沪教版(2020) 必修第二册 同步跟踪练习 第8章 8.4.2 向量的综合应用
20-21高一·全国·课后作业
6 . 已知
,
,
,试确定
的形状.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/275ca9e5fdeeaa38c7e99b9172cd0a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566bbbdfa5372c94e45f0a2f876c1656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56949d0020ef52ab9e2ce39c8d992afa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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7 . 已知凸五边形
内接于半径为1的圆,且
,
,
,
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d42e97eee705d164e6ac6de9ecd6d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a88b719166fcc1431f876bc8c5656c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8b617c2e617e996aa143787754f0f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535add0db950ed30185356a9749d46f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b0393ce62b24aa5f9b740d4cc6743b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c793e9dc8fbcd98014f8eedcf7b63037.png)
您最近一年使用:0次
8 . 两个力
,
作用于同一质点,使该质点从点
移动到点
(其中
,
分别是
轴正方向、
轴正方向上的单位向量,力的单位:N,位移的单位:m).求:
(1)
,
分别对该质点做的功;
(2)
,
的合力
对该质点做的功.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea28244c89eb459e4666b3a7588eb06f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16dd832de62cb769b665b1b401caf6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac9334ed639fafe5efe40676891db8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837468348b6c42f4280fe2a3b027210e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1480988d26abda64d9a4d20674ab76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89cdb00326a922074494892c166aeefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0985912f741bd0934b10c52452fc9a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c48b15e8d588d0ac4b5f8e23c768f4a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0985912f741bd0934b10c52452fc9a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c48b15e8d588d0ac4b5f8e23c768f4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8dcbd7f3addaf52735d63aa2da75a6e.png)
您最近一年使用:0次
2020-03-01更新
|
302次组卷
|
4卷引用:沪教版(2020) 必修第二册 领航者 第8章 平面向量 8.4 向量的应用 第2课时 向量的应用(2)
名校
解题方法
9 . 已知
三个顶点的坐标分别为
.
(1)若
是
边上的高,求向量
的坐标;
(2)若点E在x轴上,使
为钝角三角形,且
为钝角,求点E的横坐标的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167b896307be0b7425fff73c8d71f4b0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d036188ce294e3c7427d0b7d2294fd2.png)
(2)若点E在x轴上,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e8c3cf4bbfa6e00d38761560ddc6b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6282292819434a8905a212427613fd85.png)
您最近一年使用:0次
2020-02-11更新
|
287次组卷
|
2卷引用:福建省南安市侨光中学2020-2021学年高一下学期第一次阶段考试数学试题
20-21高一·全国·课后作业
10 . 已知点A(0,1),B(6,4),C(4,8),
,求证:四边形ABCD是矩形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746bfa9fb64fc8d25afc7bee4056494b.png)
您最近一年使用:0次