1 . 在①
,②
,且
,③
,这三个条件中任选一个补充在下面的问题中,并给出解答.
在
,角
,
,
的对应边为
,
,
,且__________.
(1)求角
;
(2)若
,求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5d01393a34ecf31af1b0f02304a3a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17102bb2f2b747a00f017cad39f056b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a53cdfd02f840f55c72dbb4d0607c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a26d50625247cc060e2520205c8f1cb.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2 . 平面内向量
(其中O为坐标原点),点P是直线OC上的一个动点.
(1)若
,求
的坐标.
(2)已知BC中点为D,当
取最小值时,若AD与CP相交于点M,求
与
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbfd2c57ac015fe8c75666ffe76080a0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d0b035a4c922d8921d1dfe2a72b8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
(2)已知BC中点为D,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76782c6299c144c919de3213c60a7e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6df2df5ddac2a0dd377d1ae9430c358.png)
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解题方法
3 . 已知向量
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bdc0ce4bca80e27b8c8f176a638622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5924a58d30dae27b678a0b58b9f307ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394518f518e8eee4c6370fdfe90e71b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f683e22c4e8a816e75b9d040814b71c3.png)
A.5 | B.15 | C.![]() | D.![]() |
您最近一年使用:0次
2022-08-15更新
|
420次组卷
|
2卷引用:山东省临沂市兰山区2021-2022学年高二上学期开学考试数学试题
解题方法
4 . 在“①
;②
,
,
”这两个条件中任选一个,补充在下面问题中,并进行求解.
问题:在
中,
,
,
分别是三内角
,
,
的对边,已知
,
是
边上的点,且
,
,若_______________,求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e65f3ca149022d8a0ee5f70e9fa776.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1d858af731535b6165e82e071c9905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23457fe93693f33b59dd3b4849268071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/242b0af4f33851007b2052508dd3790e.png)
问题:在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.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/0c9904c954964b180203f8aa1820f595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e99f829cf17eb24e2bc208e2b995a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
2021-11-23更新
|
386次组卷
|
2卷引用:山东省青岛市4区市2021-2022学年高三上学期期中考试数学试题
解题方法
5 . 已知向量
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b148abc9d130c294037ce4202dfa091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7768f5947d39a392ab6c2d3a14fa0fae.png)
A.![]() | B.![]() |
C.![]() ![]() ![]() | D.![]() |
您最近一年使用:0次
2021-11-21更新
|
404次组卷
|
3卷引用:山东省济宁邹城市2021-2022学年高三上学期期中考试数学试题
名校
解题方法
6 . 已知
,
,
是同一平面内的三个不同向量,其中
.
(1)若
,且
,求
的坐标;
(2)若
是单位向量,且
,求
的最小值,并求出此时
与
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6569e50f43b3d8645652ecc13b62066e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba075a5bd4cb612a408544f824732aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b580b1e474eb43d7e7e2634ece223036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5d1359feb94e2c2fc2e903fb422904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0fe4d834e8eaca89ceaf9c64cdabd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
您最近一年使用:0次
2021-10-06更新
|
509次组卷
|
2卷引用:山东省济宁市邹城市2020-2021学年高一下学期期中数学试题
名校
7 . 已知
若
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92c575b69d5b1ed38dc3adcfe0769dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a70d446e6fc756806938596817fd1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ba9745c01bcc7c3b62a4ee6dd60a3a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-08-17更新
|
303次组卷
|
2卷引用:山东省淄博市张店区淄博实验中学、淄博齐盛高中2021-2022学年高二上学期数学开学限时训练试题
解题方法
8 . 下列命题中的真命题是( )
A.若![]() ![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若向量![]() ![]() ![]() ![]() |
D.若平行四边形![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
9 . 已知向量
,向量
,向量
(其中
),且
.
(1)求
的值和
;
(2)若
,
,且
、
、
三点共线,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fee11a449e8e98bef785ba333baf099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90cb7508d9c38e4847bd0853cf770ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49ceaebcb3b126da175e107e97b16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e13dedea6141c353ac153aa40a1f0e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0fe4d834e8eaca89ceaf9c64cdabd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7b78b446c05c9aea5bf87c7b17258a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2715dd9d0ec90bbe2291ee8ad4526e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc965d5374f406bcc800d140830c0d23.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
10 . 已知向量
,
,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b821a889623ac467c40df8af7bb7305f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d9085f25f581bf752be3d0fd4476ea3.png)
A.若![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.存在唯一的![]() ![]() |
您最近一年使用:0次
2021-08-05更新
|
1176次组卷
|
3卷引用:山东省枣庄市2020-2021学年高一下学期期末数学试题