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1、第 1 页 共 9 页第二章平面向量一、选择题1 在 ABC 中，ABAC，D，E 分别是 AB，AC 的中点，则()A AB 与 AC 共线B DE 与 CB 共线C AD 与 AE 相等D AD 与 BD 相等2下列命题正确的是()A向量 AB 与 BA 是两平行向量B若 a，b都是单位向量，则abC若 AB DC，则 A，B，C，D 四点构成平行四边形D两向量相等的充要条件是它们的始点、终点相同3平面直角坐标系中，O 为坐标原点，已知两点A(3，1)，B(1，3)，若点 C 满足 OCOA OB，其中，R，且1，则点 C 的轨迹方程为()A 3x2y110 B(x1)2(y 1)25C2
2、xy0 Dx2y50 4已知 a、b 是非零向量且满足(a2b)a，(b2a)b，则 a 与 b 的夹角是()A6B3C23D565 已知四边形ABCD 是菱形，点 P 在对角线AC 上(不包括端点A，C)，则 AP()A (AB AD)，(0，1)B(AB BC)，(0，22)C(AB AD)，(0，1)D(AB BC)，(0，22)6 ABC 中，D，E，F 分别是 AB，BC，AC 的中点，则DF ()A EF EDB EF DEC EF ADD EF AF7若平面向量a 与 b 的夹角为60，|b|4，(a2b)(a 3b)72，则向量a 的模为()(第 1 题)第 2 页 共 9 页
3、A 2 B4 C6 D12 8点 O 是三角形ABC 所在平面内的一点，满足OA OB OB OC OC OA，则点 O 是 ABC 的()A三个内角的角平分线的交点B三条边的垂直平分线的交点C三条中线的交点D三条高的交点9在四边形ABCD 中，AB a2b，BC 4a b，DC 5a3b，其中a，b 不共线，则四边形ABCD 为()A平行四边形B矩形C梯形D菱形10如图，梯形ABCD 中，|AD|BC|，EF AB CD 则相等向量是()A AD 与 BCB OA 与 OBC AC 与 BDD EO 与 OF二、填空题11已知向量 OA(k，12)，OB (4，5)，OC(k，10)，且 A
4、，B，C 三点共线，则k12已知向量a(x3，x23x4)与 MN 相等，其中M(1，3)，N(1，3)，则x13已知平面上三点A，B，C 满足|AB|3，|BC|4，|CA|5，则 AB BC BC CA CA AB 的值等于14给定两个向量a(3，4)，b(2，1)，且(amb)(ab)，则实数m 等于15已知 A，B，C 三点不共线，O 是 ABC 内的一点，若OA OB OC 0，则 O是 ABC 的(第 10 题)文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档
5、编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF1
6、0B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W
7、1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU
8、8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R
9、2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT
10、10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2
11、Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3第 3 页 共 9 页16设平面内有四边形ABCD 和点 O，OA a，OB b，OC c,OD d，若 acbd，则四边形ABCD 的形状是三、解答题17已知点A(2，3)，B(5，4)，C(7，10)，若点 P 满足 AP AB AC(R)，试求 为何值时，点P 在第三象限内？18如图，已知ABC，A(7，8)，B(3，5)，C(4，
12、3)，M，N，D 分别是AB，AC，BC 的中点，且MN 与 AD 交于 F，求 DF(第 18 题)文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z
13、3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编
14、码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10
15、B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1
16、Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8
17、M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2
18、R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3第 4 页 共 9 页19如图，在正方形ABCD 中，E，F 分别
19、为 AB，BC 的中点，求证：AFDE(利用向量证明)20已知向量a(cos ，sin )，向量 b(3，1)，则|2ab|的最大值(第 19 题)文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z
20、1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M
21、8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R
22、5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10
23、R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3
24、Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码
25、:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3第 5 页 共 9
26、页参考答案一、选择题1B 解析：如图，AB 与 AC，AD 与 AE 不平行，AD 与 BD 共线反向2A 解析：两个单位向量可能方向不同，故B 不对若AB DC，可能 A，B，C，D 四点共线，故C 不对两向量相等的充要条件是大小相等，方向相同，故D 也不对3D 解析：提示：设OC(x，y)，OA(3，1)，OB(1，3)，OA(3，)，OB(，3)，又OAOB(3，3)，(x，y)(3 ，3)，33yx，又1，由此得到答案为D4B 解析：(a 2b)a，(b2a)b，(a2b)aa22ab0，(b2a)bb22ab0，a2b2，即|a|b|a|22|a|b|cos 2|a|2cos 解得
27、cos 21 a 与 b 的夹角是35A 解析：由平行四边形法则，AB AD AC，又 AB BC AC，由 的范围和向量数乘的长度，(0，1)6D 解析：如图，AF DE，DF DE EF EF AF(第 6 题)(第 1 题)文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1
28、 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8
29、Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5
30、 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R
31、3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q
32、3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:
33、CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9
34、T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3第 6 页 共 9 页7C 解析：由(a 2b)(a3b)72，得 a2ab6b2 72而|b|4，ab|a|b|cos 60 2|a|，|a|2 2|a|96 72，解得|a|68D 解析：由OA OB OB OC OC OA，得 OA OB OC OA,即 OA(OC OB)0，故 BC OA 0，BC OA，同理可证AC OB，O 是 ABC 的三条高的交点9C 解析：AD AB BC DC 8a2b2 BC，AD BC 且|AD|BC|四边形 ABCD 为梯形10D 解析：AD 与 BC，AC 与 BD，OA 与 OB 方向
35、都不相同，不是相等向量二、填空题1132解析：A，B，C 三点共线等价于AB，BC 共线，AB OB OA(4，5)(k，12)(4k，7)，BC OC OB(k，10)(4，5)(k 4，5)，又 A，B，C 三点共线，5(4k)7(k4)，k3212 1解析：M(1，3)，N(1，3)，MN(2，0)，又 aMN，043232xxx解得411xxx或文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2
36、Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档
37、编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF1
38、0B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W
39、1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU
40、8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R
41、2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT
42、10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3第 7 页 共 9 页 x 113 25解析：思路1：AB 3，BC 4，CA 5，ABC 为直角三角形且ABC90，即 AB BC，AB BC 0，AB BC BC CA CA ABBC CA CA AB CA(BC AB)(CA)2 2CA 25思路 2：AB 3，BC 4，CA 5，ABC90，cosCABCAAB53，cosBCACABC54根据数积定义，结合图(右图)知 AB BC 0，BC CA
43、BC CA cosACE45(54)16，CA AB CA AB cosBAD35(53)9AB BC BC CA CA AB 0169 2514323解析：amb(32m，4m)，ab(1，5)(a mb)(ab)，(a mb)(ab)(32m)1(4m)50m32315答案：重心解析：如图，以OA，OC 为邻边作AOCF 交 AC 于(第 15 题)D(第 13 题)文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5
44、 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R
45、3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q
46、3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:
47、CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9
48、T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1
49、 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8
50、Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3文档编码:CF10B9T9W1Z1 HU8M8Y4R2R5 ZT10R3X2Z3Q3第 8 页 共 9 页点 E，则 OF OA OC，又OA OC OB，OF 2OE OB O 是 ABC 的重心16答案：平行四边形解析：a cbd，abdc，BA CD 四边形 ABCD 为平行四边形三、解答题17 1解析：设点P 的坐标为(x，y)，则 AP(x，y)(2，3)(x2，y3)AB AC(5，4)(2，3)(7，10)(2，3)(3，)(5，7)(3 5，7)AP AB