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1、平面向量基本定理及坐标表示适用学科数学适用年级高三适用区域新课标课时时长60 分钟知 识 点基底的概念与平面向量基本定理平面向量基本定理的应用平面向量的坐标表示及运算平面向量共线的坐标表示教学目标1.了解平面向量基本定理及其意义2.掌握平面向量的正交分解及坐标表示3.会用坐标表示平面向量的加法、减法与数乘运算4.理解用坐标表示的平面向量共线的条件.教学重点平面向量的坐标运算及用坐标表示平面向量共线教学难点向量的坐标运算及共线条件教学过程课堂导入音乐是人们在休闲时候的一种选择,不管是通俗的流行歌曲、动感的摇滚音乐,还是高雅的古典音乐,它们都给了人们不同的享受、不一样的感觉事实上,音乐有7个基本音
2、符:Do Re Mi Fa Sol La Si,所有的乐谱都是这几个音符的巧妙组合,音乐的奇妙就在于此在多样的向量中,我们能否找到它的“基本音符”呢?复习预习1上节课已经学习过向量的数乘,所谓向量的数乘为_,记为 _,它的长度与方向规定如下:(1)_|a|;文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编
3、码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S
4、3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C
5、10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9
6、R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6
7、V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5
8、C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D
9、6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1(2)当_时,a 的方向与 a 的方向相同;当 0 时,a 的方向与 a 的方向_知识讲解考点 1 两个向量的夹角(1)定义已知两个非零向量a 和 b,作OAuu u ra,OBuuu rb,则AOB 叫做向量 a 与 b 的夹角(2)范围向量夹角 的范围是 0,a 与 b 同向时,夹角 0;a与 b 反向时,夹角 .(3)向量垂直如果向量 a 与 b 的夹角是2,则 a 与 b 垂直,记作 ab.文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1
10、R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10
11、HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C
12、4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4
13、ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10
14、E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1
15、文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:C
16、B9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1考点 2 平面向量基本定理及坐标表示(1)平面向量基本定理:如果 e1,e2是同一平面内的两个不共线向量,那么对于这一平面内的任意向量a,有且只有一对实数1,2,使 a1e12e2.其中,不共线的向量e1,e2叫做表示这一平面内所有向量的一组基底(2)平面向量的坐标表示:在平
17、面直角坐标系中,分别取与x 轴、y 轴方向相同的两个单位向量i,j 作为基底,对于平面内的一个向量a,有且只有一对实数 x,y,使 axiyj,把有序数对(x,y)叫做向量 a 的坐标,记作 a(x,y),其中 x 叫做 a 在 x 轴上的坐标,y 叫做 a 在 y 轴上的坐标设 OAu uu rxiyj,则向量 OAu uu r的坐标(x,y)就是 A 点的坐标,即若 OAu uu r(x,y),则 A 点坐标为(x,y),反之亦成立(O是坐标原点)文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4
18、ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10
19、E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1
20、文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:C
21、B9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1
22、R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10
23、HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C
24、4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1考点 3 平面向量的坐标运算(1)若 a(x1,y1),b(x2,y2),则 a b(x1 x2,y1 y2);(2)若 A(x1,y1),B(x2,y2),则ABu uu r(x2x1,y2y1);(3)若 a(x,y),则 a(x,y);(4)若 a(x1,y1),b(x2,y2),则 ab?x1y2x2y
25、1.例题精析【例题 1】【题干】如图,在梯形 ABCD 中,ADBC,且 AD13BC,E,F 分别为线段 AD 与 BC 的中点设BAuu u ra,BCuuu rb,试用 a,b 为基底表示向量EFuuu r,DFu uu r,CDuuu r.16ba12b13ba,【解析】EFuuu rEAuu u rABuuu rBFu uu r文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码
26、:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3
27、G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C1
28、0 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R
29、5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V
30、4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C
31、10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6
32、D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1DFuuu rDEuuu rEFu uu r16b13ba 16ba,CDuuu rCFuuu rFDu uu r12b16ba a23b.【例题 2】【题干】已知点 A(1,2),B(2,8)以及ACuuu r13ABuuu r,DAu uu r13BAuu u r,求点 C、D 的坐标和CDuuu r的坐标【解析】设点 C、D 的坐标分别为(x1,y1)、(x2,y2),得ACuu u r(x11,y12),ABuuu
33、r(3,6),DAuuu r(1x2,2y2),BAuu u r(3,6)因为ACuuu r13ABuu u r,DAuuu r13BAuu u r,所以有x111y122,和1x21,2y22.文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C
34、10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6
35、D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码
36、:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3
37、G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C1
38、0 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R
39、5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V
40、4 ZM5C10E9D6D1解得x10,y14,和x22,y20.所以点 C、D 的坐标分别是(0,4)、(2,0),从而CDuuu r(2,4).【例题 3】【题干】(1)在平面直角坐标系xOy 中,四边形 ABCD 的边 ABDC,ADBC.已知点 A(2,0),B(6,8),C(8,6),则 D 点的坐标为 _(2)已知向量 a(m,1),b(1,2),c(1,2),若(ab)c,则 m_.【解析】(1)由条件中的四边形ABCD 的对边分别平行,可以判断该四边形ABCD 是平行四边形设D(x,y),则有ABuu u rDCuu u r,即(6,8)(2,0)(8,6)(x,y),解得(x
41、,y)(0,2),即 D 点的坐标为(0,2)(2)由题意知 ab(m1,3),c(1,2),由(ab)c 得(3)(1)(m1)20,文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R
42、5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V
43、4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C
44、10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6
45、D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码
46、:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3
47、G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1即 2(m1)3,所以 m52.
48、文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:C
49、B9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1
50、R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10 HS9R5C4S6V4 ZM5C10E9D6D1文档编码:CB9S3G1R3C10