解题方法
1 . 已知向量
不共线,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e30900a8f163a33e9127aa2588e3dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
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2 . 如图,在
中,D是
的一个三等分点,
,则
用
表示为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d759efa8394237b330b99e220e0174e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd98a891fa65f2fc6688001b03185d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/4e02e126-5715-44b4-806a-4bfe4a3b1028.png?resizew=127)
您最近一年使用:0次
解题方法
3 . 已知
是两个不共线的向量,
,
,
,试用
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad59ee7969f2a082ed53bdf0aaa748ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a8d7edb901f6cd5eb8d7e8242fa1fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc95362901586f18e1d613859e66e3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172d40c066a6afd34fbc426f1a797deb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
您最近一年使用:0次
4 . 如图,在
中,点M是
的中点,
与
交于点N.设
,试用
表示
.
![](https://img.xkw.com/dksih/QBM/2020/6/25/2492332156682240/2493228861448192/STEM/fec9ecaa-eea1-4243-bb23-e45c9126bc30.png?resizew=177)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5851c1ccd9937b6783fac09e300b8bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c964115940609bd786e059c43e46f7.png)
![](https://img.xkw.com/dksih/QBM/2020/6/25/2492332156682240/2493228861448192/STEM/fec9ecaa-eea1-4243-bb23-e45c9126bc30.png?resizew=177)
您最近一年使用:0次
解题方法
5 . 已知向量
不共线,实数
满足
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44915a735a789b983982698cb01dff49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
您最近一年使用:0次
解题方法
6 . 已知
是两个不共线的向量,
,则用
表示
为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad59ee7969f2a082ed53bdf0aaa748ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20605006c5d153cdf3ba460da1ddf694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
您最近一年使用:0次
解题方法
7 . 在
中,
,边
的长分别是2,1,若
是边
上的点,且满足
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3a059203f65774fd8f321faa9e8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df7fc746f8c4801d8f2f0471ba3297e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e426224c3a3ce9bb5a731eed81c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7da811a4074c5e9979c077dd5f4d73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd92ed9c7d216873545ea59101b6ce1b.png)
您最近一年使用:0次
8 . 设向量
和
不平行,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2868a9fe011f56a80c9d1a8ee4604d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36fe4e713c108e118522a99ecd683924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d286cf9048355c73d93bb315b80b2d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
您最近一年使用:0次
9 . 在平行四边形
中,两条对角线相交于点M,且
,则用
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99cffa563dd262012dc05b8952b81e92.png)
_____ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36d50934756d8d74f26c19bbdd6d3fa.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5851c1ccd9937b6783fac09e300b8bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99cffa563dd262012dc05b8952b81e92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36d50934756d8d74f26c19bbdd6d3fa.png)
您最近一年使用:0次
10 . 若向量
,则
用
表示为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfd664a81965880262302d706cfdfc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
您最近一年使用:0次