1 . 复数
(
是虚数单位)的共轭复数为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/899450b8f2c3bba7dafd42f04bd876df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
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2020-04-25更新
|
132次组卷
|
3卷引用:上海市闵行区2021届高三二模数学试题
2 . 复数
,
(其中
,
为虚数单位). 在复平面上,复数
、
能否表示同一个点,若能,指出该点表示的复数;若不能,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd01f7afbe9b8cc78b71cbf7ec342ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/796c3626bb3eb1b998649e94de5559da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
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2020-02-03更新
|
132次组卷
|
3卷引用:2016届上海市闵行区高三4月质量调研(二模)(理)数学试题
10-11高二下·浙江温州·期中
名校
3 . 若等差数列
的首项为
公差为
,前
项的和为
,则数列
为等差数列,且通项为
.类似地,若各项均为正数的等比数列
的首项为
,公比为
,前
项的积为
,则数列
为等比数列,通项为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4b9e475158c0c9eef9dd015342221c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a569964b92c3faaab9ce7d5d9b8c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec184bb0761e498016fc6c0a01229652.png)
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4 . 我国南北朝数学家何承天发明的“调日法”是程序化寻求精确分数来表示数值的算法,其理论依据是:设实数
的不足近似值和过剩近似值分别为
和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98908c3834d8a95cadda737a9a1997bb.png)
,则
是
的更为精确的不足近似值或过剩近似值.我们知道
···,若令
,则第一次用“调日法”后得
是
的更为精确的过剩近似值,即
,若每次都取最简分数,那么第四次用“调日法”后可得
的近似分数为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98908c3834d8a95cadda737a9a1997bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/586fa2253e6dbd2c01ed6236b954d052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d98512b9538ceb0a008f74c0955f261f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202dbe32d662027aec1c698f7b62eeac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/effe13dc12234547f65507d191a7a481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c4c850be63cf8d63b1f8fd433af1f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6128e558a27f5e3ea39ebda4d87379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
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2020-02-04更新
|
100次组卷
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4卷引用:2016届上海市闵行区高三上学期期末质量调研考试(一模)(理)数学试题
名校
5 . 若复数
满足
(
为虚数单位),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5bb60815c4e5a85df0e7707a1faf539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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2017-05-18更新
|
357次组卷
|
3卷引用:上海市闵行区2021届高三上学期一模数学试题
名校
6 . 若z∈C,i为虚数单位,且
,则复数z等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de4553d0c15b033a893d7af01169e21.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 在复数范围内,若方程
的一个根为
,则
______________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a1aafbe16078da0b1c60fffc48c380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/601d4bf68add4c67826155ca0894105b.png)
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2016-12-04更新
|
337次组卷
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4卷引用:2016届上海市闵行区七宝中学高三下学期适应性考试(三模)(理)数学试题
8 . 若复数
是虚数单位),且
为纯虚数,则实数
=_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0ccca26a4d6bef646c4f494147e0b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da4e6752d8c8a0705194f2b2f16ab5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2017-08-01更新
|
299次组卷
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3卷引用:上海市闵行区2017届高三4月质量调研考试(二模)数学试题
2010·上海闵行·二模
9 . 若
(
为虚数单位,
),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6dfeca0f0dbc33617cc3d1aae7b15e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83eb829e3338a9e4be598124855685e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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名校
10 . 复数
(
为虚数单位),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeefdde19b27c562a7110fb0c3908061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
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