题型:填空题
难度:0.4
引用次数:1557
题号:2080020
已知an=
(n=1,2,3,…),记b1=2(1-a1),b2=2(1-a1)(1-a2),…,bn=2(1-a1)(1-a2)…(1-an),则通过计算推测出表达式bn=________ (用含n的代数式表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbda7a11a3c1b11040bf94f40aae4fd.png)
更新时间:2016-12-05 12:18:11
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【知识点】 与实数运算相关的规律题
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较难
(0.4)
【推荐1】观察下列等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19c580386c40fed1db10c751c3899a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0d7e091ef5cb192a0214db3cff7557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b9ebd02cc7b8e8a52ef0ff9a88b454e.png)
……
请按上述规律,写出第
个式子的计算结果(
为正整数)______ .(写出最简计算结果即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19c580386c40fed1db10c751c3899a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0d7e091ef5cb192a0214db3cff7557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b9ebd02cc7b8e8a52ef0ff9a88b454e.png)
……
请按上述规律,写出第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
填空题
|
较难
(0.4)
名校
【推荐2】阅读下列解题过程:
计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2123964e4771ead36ac2c55b3641759.png)
解:设
①
则
②
由②-①得,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404f40c64e176ac8824575166ce18932.png)
运用所学到的方法计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c22a1bbc7aeb65a0498680351855057.png)
______________ .
计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2123964e4771ead36ac2c55b3641759.png)
解:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2729cc0bbf0a7e793253a16d6e9cfab.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d13f000f67bdc681d335495af4a7194.png)
由②-①得,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404f40c64e176ac8824575166ce18932.png)
运用所学到的方法计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c22a1bbc7aeb65a0498680351855057.png)
您最近一年使用:0次