9-10高二下·浙江·期中
1 . 对大于或等于
的自然数
的
次方幂有如下分解方式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8dea70fa36b4fe815ec149cead458f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18014e43c43dd0f0b437bdc5842ffb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ff6971fa91db4862141d1d115097b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/430b424bdc195b1dab036779fb956b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232f4299d55ea79adf3222d779cc41c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07dba6451511827fbd4d402e88b71ad.png)
根据上述分解规律,则
, 若
的分解中最小的数是73,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8dea70fa36b4fe815ec149cead458f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18014e43c43dd0f0b437bdc5842ffb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ff6971fa91db4862141d1d115097b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/430b424bdc195b1dab036779fb956b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232f4299d55ea79adf3222d779cc41c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07dba6451511827fbd4d402e88b71ad.png)
根据上述分解规律,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ef1ce0dd80921c21252b5f379747b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32aa54589c57ee07c59a90e47a28cf86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2016-12-02更新
|
1128次组卷
|
11卷引用:2013届上海市浦东新区高三第三次模拟理科数学试卷
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2 . 设复数
(
为虚数单位),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a3280dbab8745b55468550cf32a357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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3 . 若数列
满足
,设
,
,类比课本中推导等比数列前
项和公式的方法,可求得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ba8c3402e7e054f40ff3783bdc9dedf.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://img.xkw.com/dksih/QBM/2014/3/3/1571539610140672/1571539615301632/STEM/27691cedc0f147b882a5522a1dfd8681.png?resizew=147)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88abc43a66a3fa80a85c904d9289e39d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d82e4c2294efbd33e1b268e9a0cec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ba8c3402e7e054f40ff3783bdc9dedf.png)
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4 . 设复数z满足|z|=1,且(3+4i)•z是纯虚数,求
.
![](https://img.xkw.com/dksih/QBM/2016/7/8/1572898064506880/1572898100117504/STEM/2eb021bb44aa47a199c3cd526e5949d4.png?resizew=10)
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