名校
1 . 已知复数
满足以下条件:①复数在复平面内对应的点位于第一象限;②复数的模为5;③复数的实部大于虚部,则复数
可以是__________ .(填写一个答案即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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2 . (1)在
中,若
,则
一定是__________ 三角形
请填写锐角,直角,或钝角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(2)
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
_________ .
(3)已知复数z满足
,则
的最小值是________ .
(4)如图所示,空间四边形ABCD中,两条对边
,
分别是另外两条对边
上的点,且
,则异面直线AB和CD所成角的大小为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ee200d87dc576c5259be96bc0431c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a301324443eb93b467134a86890dd9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc56eba6d1e1c9d293d648a756de4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
(3)已知复数z满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839ba7c0f1fc30151d18a2e337951dd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf22958b9d397bce8d3b950c8fefbae8.png)
(4)如图所示,空间四边形ABCD中,两条对边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e0f9d0d28bfb81ad132e0064402573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d93949d8a15aca4e79cedb978590571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65367e9651ecd42fce6a7ae585a5d4a3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/13/fb8817ed-8550-418d-a744-bf78d0539598.png?resizew=167)
您最近一年使用:0次
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3 . 下列关于复数的命题中:①任意两个确定的复数都不能比较大小;②若
,则
;③若
,则
;④
为纯虚数;⑤
;其中正确的命题是______ (仅填写命题序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d5ec74c81f7d02f273f7eecefaf9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281196519a8062cf55403a5c4dd13d4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1cb45531be54c6d7f02de0c19e6f775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6a996e043f3d89b8f90f3e55145872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e3924c9ed32bd2db3556cf104c372f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/537e04840c9887b47e4836c8a417a096.png)
您最近一年使用:0次