解题方法
1 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33ee1f52775bf9ba66e0fdf0ecbb35.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5559bd424df6d25a4d04e95d19a28d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33ee1f52775bf9ba66e0fdf0ecbb35.png)
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2 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5590337b3868db8523eeb7f448efcf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6eab0544c9fad5acde25bec349fb02.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
3 . 向量
,
,
,
.
(1)求
;
(2)若
,
,向量
的夹角为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010632a752a68ced11aaf8ac2f3be311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f082ecee986281f05ee38aa11a50e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46b85eb5d4866f6661beed802fa9f20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c17c5bde88762233bf20c8b6e4ec619.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596a3ee5d8473fc6619ea7730e13325b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff959fd97e7ad214e07e136563e70bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675c34ffc5540451f4e5f9c24b0d6be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662917aedec92809a13618093c8e0c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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4 . 下列命题正确的是( )
A.若![]() ![]() ![]() |
B.若单位向量![]() ![]() ![]() |
C.若两个非零向量![]() ![]() ![]() |
D.若向量![]() ![]() ![]() ![]() |
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5 . 已知向量
,函数
,
,
.
(1)当
时,求
的值;
(2)若
,求
的最小值;
(3)是否存在实数m,使函数
,
有四个不同的零点?若存在,求出m的取值范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dda9ed3f5bc696f7353d3f6662e417e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8c1345c337ef16bf9e90ca503dffef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d16c2cd828a33fcb4c8c6a43e5217e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efbc16bd7b2b9ad1372cddc250f7dbec.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429671166ab81044097fc277f179ee96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)是否存在实数m,使函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3641c4586177fcc867b5c9bf9ccde802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d16c2cd828a33fcb4c8c6a43e5217e4.png)
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名校
解题方法
6 . 在
中,
为
边上一点,满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286e10d95fe2232faeb352e11afc0a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2ea8213ea68c4e56d7a8dec877e4a6.png)
A.![]() | B.6 | C.![]() | D.![]() |
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7 . 在
中,点
是边
的中点,且满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab37a24e0709b0cf6fcbc0e2e112f074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afcc067a966f82f14590a6331901113f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
8 . 已知平面向量
.
(1)设函数
,求
的最小正周期、对称轴方程和
上的值域;
(2)设函数
,
①记
,试用t表示
,并写出t的取值范围;
②求y的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cf8e37fcce60a1bea4bda408a25869d.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e62c6bdeba3f827f1625c2881f5622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3381b039f1ee3248fc7451668ca9978b.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36a7ab2777b0d84545fb3d0bfe556c6.png)
①记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481acac1e2999393c87344921c6411a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3c196b1a9c2f24affab1be01e1c708.png)
②求y的最大值.
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名校
解题方法
9 . 如图,在平行四边形ABCD中,
,
.CE与DF交于点O.设
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940099db7ffe6b3f7e70afcfba66750a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/678851c61127dd37d837d46fc982d6fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b9d8a08fc52c31cc1a7f527d18b55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc9229b0705e5b0ac0ccd9f79fab37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de2e353087f4f291ec7f5004a5a76d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 化简
所得的结果是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619321979a7c9e0dd54091b54d1a1114.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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