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1 . 在复平面内,复数z对应的点的坐标是
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21f849af0d8112dce339b2f0a52383b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 写出一组使得不等式
成立的
,
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b84faebe697c810fec3de69708a265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
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3 . 已知平面向量
与
共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd989ddfbed4a6aa18ea57734522153.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93944d382b73bb691719b868fd69a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47f03ca8c235959f5dba54c6c83e7df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd989ddfbed4a6aa18ea57734522153.png)
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4 . 复数
在复平面内对应的点的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8648b214f299170fcd754810f45ee82.png)
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5 .
和
的等比中项是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
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6 . 已知向量
,
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355314f379eab30b26be60b334a2b9aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb6e06a9deea9f51755b27320b44c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd79264e130de60a100b001b5d45585c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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7 .
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cec31d8b676e6df93bf000dfe18bede.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知
.
(1)求向量
的坐标;
(2)设向量
的夹角为
,求
的值;
(3)若向量
与
互相垂直,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa69f397d3daafecc3a602561017ad4d.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a06c8eae3652486cf9e416ce3a8ffc9.png)
(2)设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
(3)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff01c3e3b53271c5d16ad4e02a930ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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9 . 已知复数
满足
(其中
为虚数单位),则复数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
__________ ,复数
的虚部为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2dc922c4f00190cf3d9d70a05cf729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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解题方法
10 . 已知向量
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344f96e2a2ce9f79c33ac5886365b665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8483f73141a818e549c72c5ee8cb3fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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