名校
1 . 已知向量
,在复平面坐标系中,i为虚数单位,复数
对应的点为
.
(1)求
﹔
(2)
为曲线
为
的共轭复数)上的动点,求
与
之间的最小距离;
(3)若
,求
在
上的投影向量
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6517c5d60c88f95c41cfb18c6ef62fe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f1047ec4e5edaad6f95c9719f6a157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faf56137f1d545c524da223f94f1c99f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0f9ba4ddaba95860c909cb28557f10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734a6a1d319648bb969845a9159cdba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759bc4eeb0c937af667093c416ed83bc.png)
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2021-06-20更新
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1025次组卷
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7卷引用:山东省青岛市青岛第一中学2020-2021学年高一下学期期中数学试题