名校
1 . 已知在平面直角坐标系中,
为坐标原点,
,
,
,其中
.
(1)求
及
在
上的投影向量;
(2)证明
,
,
三点共线,并求当
时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14333f47419d6270a92c97cbed99523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57107eea6424e1c872efd0294eb50400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595dffb106368574d6d15973891db132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e948c720307066e2d521dac6d0d3fd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ace585d3cc2e113a0927cdf9e56756a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
(2)证明
![](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/b0f134605b8b48aaebce5ebfc06b7467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2022-08-15更新
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