解题方法
1 . 下列命题错误 的是( )
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.向量![]() |
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解题方法
2 . 若
,
,且
三点共线,则
为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad87a2f7dda754795924b7c3b4aa8eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d006005ebce7309cc6ee09782545973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
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3 . 在
中,点
满足
,过点
的直线分别交直线
,
于不同的两点
,
,设
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182cab09d1a2315ad539541fb447c2f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a99b23b4b019919a0d680119977d5cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1695efcf9c87cc02d621e72c844ebf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b62a6a6167b2832999c152ed5b96ef.png)
A.1 | B.2 | C.3 | D.4 |
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4 . 如图,在
中,E,H分别是AD,BC的中点,
,G为DF与BE的交点.
,
,试以向量
,
为基底表示
,
;
(2)若
,求m,n的值;
(3)求证:A,G,H三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade0c328cc3442c26e5bf33d9134c071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e984585ddf28c039219afcebf229de7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f33a112e9728d7b560199765c815f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdf814115dc9fea36cc1b6cd2b293390.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3627d58beaad56cfb8525ddee3492c39.png)
(3)求证:A,G,H三点共线.
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解题方法
5 . 如图,已知
的两边
、
的中点分别为M、N,在
延长线上取点P,使
,在
的延长线上取点Q,使
.试用向量方法证明:F、A、Q三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662b342c0fc78fdbcf2e55af422ba5f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7302e3cfc33bdb4f27c5d82d8c81984b.png)
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6 . 如图,在
中,已知
,
,试判断向量
与向量
是否共线,并简述理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4222aef8de0977dc23f46c4b5efaa1dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9732c1c2fe551adb2eb30fcc49a988a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d021a5c98388463d577675e58068aa7.png)
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解题方法
7 . 如图,设P、Q分别是梯形
的对角线
与
的中点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c540341ebcebf4b328d046de3689c80f.png)
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解题方法
8 . 已知非零向量
,且
,则向量
的单位向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f106d462ce13407017fe97a07db1f682.png)
__________ .(用
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a8883c2b92c30d502cd1d4d59c25f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f106d462ce13407017fe97a07db1f682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
您最近一年使用:0次
解题方法
9 . 下列命题正确的是( )
A.若向量![]() ![]() ![]() ![]() ![]() |
B.若向量![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.设![]() ![]() ![]() ![]() ![]() ![]() |
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名校
解题方法
10 . 若
,
是两个不共线的向量,且
与
共线,则实数
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7e342b06950c8ed38f232e3dafc484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a89773f29c9b3e70912d17d54d3ba2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次