名校
1 . 如图,在长方形
中,E为边
的中点,F为边
上一点,且
.设
,
.
![](https://img.xkw.com/dksih/QBM/2022/3/18/2938674037768192/2940499691495424/STEM/aa9a17055f144feea5a7b0c8f154ad8e.png?resizew=189)
(1)试用基底
表示
,
;
(2)若
,求证:E,G,F三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571662e11cff4b9a48a3cdf8704977d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b536ac375a0b74e9c7efbc585f987f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4abd10ab43ce90743bd0f79b1f5bfc.png)
![](https://img.xkw.com/dksih/QBM/2022/3/18/2938674037768192/2940499691495424/STEM/aa9a17055f144feea5a7b0c8f154ad8e.png?resizew=189)
(1)试用基底
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e22c0e0b78ae0ce1a0fb6ca107f6658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2173a791f504749b01c97b951be4b940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1307cc4692a34308f7e534e56882b76f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e56a5768de5478030b88d058a841ad.png)
您最近一年使用:0次
2022-03-20更新
|
681次组卷
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2卷引用:重庆市第八中学2021-2022学年高一下学期第一次月考数学试题
名校
2 . 设向量
的夹角为
且
如果![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311b2cfca599bd42d92380e24c5b0e41.png)
(1)证明:
三点共线.
(2)试确定实数
的值,使
的取值满足向量
与向量
垂直.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1238a7a8ce9db1a47ae0ac80d5ed70cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bf2423499d45354dbc8377f1f04e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbeda011b023f86d0cdb0cb8873c5580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311b2cfca599bd42d92380e24c5b0e41.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65183d238c9bc2be73770717d890683.png)
(2)试确定实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4740f5cb397b07da27fe5cc91ec6b6a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0f2ea9d9ee7dcbfef19f8106b1934d.png)
您最近一年使用:0次
2017-05-03更新
|
732次组卷
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6卷引用:重庆市第十八中学2019-2020学年高一下学期4月月考数学试题