名校
解题方法
1 . 如图,正四面体
中,点
,
,
,
,
,
分别是所在棱的中点,则当
,
(
),
,
(
)时,
的所有可能取值共有______ 种.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495fbf56b3023539b59f7bcee29acc70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5002f030017f6f0b34a61b2e15c5a9cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f762938f5c78eb72bafbb13bf85cba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b832048aa929fbb3542f1ccfccb6fe19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b5f7dc5b8ac574f04a553ef2c655a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd3303389152d2d7901dcf00fae3f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249b92e30f3808f5287db70a9eec6a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd304d8f1b813677ec46eadde85cead2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995f58d97a7157a6b9804f811704f9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b71af6590f0f369c164a054a8b63bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b249d990738a57edd39793fb8ed33707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c196b8785cdd8f16da203f729dcbaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d9712c3b25f3030e166e136d3a4686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f04a7c7b93bb0ad30160b816bc34096.png)
您最近一年使用:0次
2 . 在直角坐标平面内,已知
,其中
为正整数,对于平面上任意一点
,记
为
关于
的对称点,
为
关于
的对称点,…
为
关于
的对称点.
(1)求向量
的坐标;
(2)对于任意偶数
,用
表示向量
的坐标;
(3)当点
在函数
图像上移动时,点
形成的是函数
的图像,其中
是以3为周期的周期函数,且当
时,
,求:函数
在
上的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47f34cde5bbfb39cb6daf0db92f90a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7356ec98b600ece41f3a6b4bc26a7d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7356ec98b600ece41f3a6b4bc26a7d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ea50db79b18d8700cfa2559ff5e2d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12787674cf0f0e71eec9ac3d1727fda4.png)
(2)对于任意偶数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc801f5007dec6cf5183bfd3051fb02.png)
(3)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7356ec98b600ece41f3a6b4bc26a7d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2428921c82d2ace53ade031fa21fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0499141930680241c2d8fc5bd1922c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f837c94d95e0c7bedc3b49c414a95cb2.png)
您最近一年使用:0次
3 . 设x轴、y轴正方向上的单位向量分别是
、
,坐标平面上点列
分别满足下列两个条件:①
且
;②
且
;
(1)写出
及
的坐标;
(2)求
的坐标;
(3)若△
的面积是
,求
的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1480988d26abda64d9a4d20674ab76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89cdb00326a922074494892c166aeefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ae2df3cfe81200ae0bf898612c93cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d37882749aa24648a00cbf1b6ac504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba11c64701e24d76699ce3540b0de76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79dcb1c9ae679a2c9d39cbe3aef4026e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdb889e41dc848490eeea1974a47650.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7179a1cec8c930d7c6afcaee2c4d908f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/badbf0073031a679eb0caa32f42600ef.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099448be5ba5b5ed61a197916a6bd8b4.png)
(3)若△
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1358519202b1299715f79cf147e6436a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4560c3ab498f2b5aaef05df664315703.png)
您最近一年使用:0次
4 . 已知点
,O为原点,对于圆O:
上的任意一点P,直线l:
上总存在点Q满足条件
,则实数k的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd74a2f7eebdbcb3eb206093e36ab82f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259e9a874ba8a4fbc027e01699a81d8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72d8039d34a214f4f066c4f420d927d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570012fd49634261e758582c5a789524.png)
您最近一年使用:0次