名校
解题方法
1 . 对于
,
,
不是10的整数倍,且
,则称
为
级十全十美数.已知数列
满足:
,
,
.
(1)若
为等比数列,求
;
(2)求在
,
,
,…,
中,3级十全十美数的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0b1cfbfdf8e1b22aab9583e12e3449c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f0e26992724eafcba06d163d9ff470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4217b1854fee34983372bf4f3a877d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdf53108bee755f5aa9a34ea4d163e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c2b5e218eb815213d8bc0ce9a06ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac416116febcf793fee4ccc78a27b15.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0f62daf8552adeb241c9b54a57cd83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)求在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11075f2c574b6c59b97fb3038000e38.png)
您最近一年使用:0次
2024-05-14更新
|
764次组卷
|
5卷引用:重庆市第一中学校2023-2024学年高二下学期5月月考数学试题
2024高二下·全国·专题练习
2 . 化简多项式
的结果是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790cffbf6911cb8c08f03dbb92818693.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
3 . 已知
是正整数,化简:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642fc08969826e1c316840be195bbfe6.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642fc08969826e1c316840be195bbfe6.png)
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名校
4 . 数
的个位数字为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a60cfd4c737b359dac887fdd3639c7f3.png)
A.1 | B.3 | C.7 | D.9 |
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2024-03-29更新
|
417次组卷
|
3卷引用:6.3.1二项式定理——课时作业(基础版)
5 . 在
的二项展开式中,常数项是______ .(用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b79731094c5133411a0a5e76d9ea9a3.png)
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名校
6 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab5a500008349b7c231d00e320253f4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 的展开式中常数项为
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8 . (1)求
的展开式.
(2)化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4078b60fbcb58f25fa78da78ddcad462.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b964ea00e1da95704353721a016ac5.png)
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23-24高二下·全国·课后作业
9 . 化简:
得到________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5454c24350b643d493bd673d8deba72.png)
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解题方法
10 . 请用二项式定理解决下列问题,写出必要的过程:
(1)求
除以100的余数;
(2)证明:
(
,且
).
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32bce704393f7b0081a14c656e54dd95.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e00076561d79d4a68f475bd17400f6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209559aca6bf32705588b6a40e0b7320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
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