名校
1 . 在
中,
.
(1)证明:
为
的重心.
(2)若
,求
的最大值,并求此时
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bd00f21e9ace05db352d22af5013c6.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc7064d10d2f23ab4066b87e2f0e9171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e00dca7e69aecb730b9f2ba0774a053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2016高一·全国·课后作业
解题方法
2 . 如图所示,点
分别为
的三边
的中点.
求证:
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927456b0989846a2f1573844bbaa2105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e661d825b7a6061e4d26fe5c53df73.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85bcfce289e27697613c7f175eac74f9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed7cce4491adcc5fa9e6086c7a37dc1.png)
您最近一年使用:0次
2022-03-20更新
|
418次组卷
|
10卷引用:同步君人教A版必修4第二章2.2.1向量加法运算及其几何意义
(已下线)同步君人教A版必修4第二章2.2.1向量加法运算及其几何意义高中数学人教版 必修4 第二章 平面向量 2.2.1 向量加法运算及其几何意义(已下线)9.2.1第1课时 向量的加法(备作业)-【上好课】2021-2022学年高一数学同步备课系列(苏教版2019必修第二册)(已下线)6.2.1 向量的加法运算(课时作业)-2021-2022学年高一数学同步精品课件+课时作业(人教A版2019必修第二册)(已下线)6.3.2&6.3.3&6.3.4 平面向量的正交分解及坐标表示、平面向量加减法运算的坐标表示、平面向量的数乘运算及坐标表示(精讲)(1)-【题型分类归纳】2022-2023学年高一数学同步讲与练(人教A版2019必修第二册)(已下线)专题02 向量的加减法-【寒假自学课】(苏教版2019)(已下线)6.2.1向量的加法运算【第三练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)9.2 向量运算1-【帮课堂】(苏教版2019必修第二册)(已下线)2.2 从位移的合成到向量的加减法6种常见考法归类-【帮课堂】(北师大版2019必修第二册)(已下线)6.2.1向量的加法运算——课后作业(巩固版)
3 . (1)已知
,
是两个不平行的向量,向量
,
,
,求证:A,C,D三点共线;
(2)已知
,
满足
,
,
,求
.
![](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/4630c9846ba7d1dd7946b0dcf3a20a09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701419d3bc35616c246c2539211cfee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4487b5e0b22ec295eb92ab8a1b39a8a.png)
(2)已知
![](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/70e310702748855c3edccd151aae0143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b113dc271cf51b3018bd1de14edf73ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c97632424d6ca33502e84a20bc74890.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8403f831ff29aff5759ebdccc671377.png)
您最近一年使用:0次
20-21高一下·全国·课后作业
4 . 如图,在正
中,D,E分别是AB,BC上的一个三等分点,分别靠近点A,点B,且AE,CD交于点P.求证:BP⊥DC.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/2021/4/16/2701200305668096/2702645257052160/STEM/6efc687f-6e42-457e-bd15-e7eaeaed77dd.png?resizew=199)
您最近一年使用:0次
5 . 已知平行四边形
中,若
是该平面上任意一点,则满足
(
).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/e37bff09-0338-46ea-9759-17c509c118ee.png?resizew=194)
(1)若
是
的中点,求
的值;
(2)若
、
、
三点共线,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac8f76a25cff46e6dce21b266a3363b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa72c594ebe33496fa7b9edf1db5c7e1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/e37bff09-0338-46ea-9759-17c509c118ee.png?resizew=194)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(2)若
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6096acdd2d0ce16e1e45397ec5e365d4.png)
您最近一年使用:0次
6 . 设不共线的两个向量
,
,若
,
,
.求证:
、
、
三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8315ec34019d719771152be2252106e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf39ca3294f5520518dd4f1c0609876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75fc4ac16a4fd56a609a93cf3e3914ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93bd143522ba26604b45345b6b8c9e8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061ab59acb9b114ddd8bdaf13bff7cb6.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)
您最近一年使用:0次
2019-11-10更新
|
244次组卷
|
4卷引用:沪教版 高二年级第一学期 领航者 第八章 附录3 实数与向量的乘积