解题方法
1 . 若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f4d56a269f4eef0c0308e3dd6baacf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061b878f4e056cf5be4ae842694e2f07.png)
A.![]() | B.2 | C.![]() | D.![]() |
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2 . 在复平面内,
,
对应的复数分别为
,
,且
,则
可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a30deb1f343048675b9b231620369668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1640d3fff861f45c5eb4019943b000f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ab38660a6bb5bfb781c014d0fd8fa9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c185328768f73176c2aa3a75e0affec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbf8cf890e1bab18f37152ef5da7dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
3 . 已知
为虚数单位,且复数
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c60eba99326125e0c96ad9ecce6b91.png)
A.复数![]() | B.![]() | C.复数![]() | D.![]() |
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解题方法
4 . 设复数
.
(1)若
是实数,求
;
(2)若
是实数,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c878acebd9267b451d0e01a6a915d356.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34b88f343ca5a4c29057465541b9cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04f844e8fd9d9b1ef835e23eaa54e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8b3f66119c2ce542984d12eb2b6b77.png)
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5 . 已知关于
的方程
有两个虚数根,在复平面上对应两虚根之间的距离为
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b67ec816342aa31583dd67b49b16fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 计算:
的结果是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c829ec8eab1ee156a4f3fe2f703d805f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
7 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9eff268bdc2a362646cad90b73c6c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca6c17df8a51bb6492426fddcfb622.png)
A.![]() | B.![]() | C.5 | D.![]() |
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8 . 设复数
,
.
(1)若
是实数,求
;
(2)若复数
在复平面上对应的点在第二象限,求实数
的取值范围;
(3)若复数
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3949894948e3bc57fa513cf84e2af364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab15cfa691e78c4caf7d23046df9eca.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34b88f343ca5a4c29057465541b9cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e3f4ab6f61446e83d8fcc1af0d0894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df2ce3cf2a3b683e4ab69ebe3767f85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
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9 . 关于复数
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
A.若![]() ![]() | B.若![]() ![]() ![]() |
C.![]() | D.若![]() ![]() ![]() |
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10 . 已知
为虚数单位,则复数
的模为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e5ffe1222eebfbba63cf686f97ee44.png)
您最近一年使用:0次