20-21高一·江苏·课后作业
1 . 已知函数
,试求
的表达式,并猜一猜
(
)的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26af862ac8e4e2fe03204b0463a7a789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd5720b33b163e0341a95c3d62eebf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4935f433d5bd784ad3bae402a747a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
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2 . 在代数运算中有下列乘法公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02afa7c7ab445f4332b1aa67d00874cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f5f4ad27d1ca1028de903270ac3b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c6199ef03b3c389c4dcf15f48b1bf2.png)
.
(1)观察上述结果,你能做出怎样的猜想?
(2)证明你的猜想,并判断
是否是99的倍数?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02afa7c7ab445f4332b1aa67d00874cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f5f4ad27d1ca1028de903270ac3b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c6199ef03b3c389c4dcf15f48b1bf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf7616d4e0060ca37d9526f4f17111e.png)
(1)观察上述结果,你能做出怎样的猜想?
(2)证明你的猜想,并判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac869d216f9d7281770cedd34a420d95.png)
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2021-09-10更新
|
128次组卷
|
2卷引用:河北省保定市易县第三中学2023-2024学年高一上学期收心考试数学试题
3 . (1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71eca79287711562b2c4e9583567d1de.png)
(2)请利用(1)的结论证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7c7fd3fa5485a8edb9d6761ed2b201f.png)
(3)请你把(2)的结论推到更一般的情形,使之成为推广后的特例,并加以证明:
(4)化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71eca79287711562b2c4e9583567d1de.png)
(2)请利用(1)的结论证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7c7fd3fa5485a8edb9d6761ed2b201f.png)
(3)请你把(2)的结论推到更一般的情形,使之成为推广后的特例,并加以证明:
(4)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425aa6cecbd8f3d56f9ae1972c1ef86c.png)
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4 . 如图都是由三角形按一定规律组成的,其中第①个图形共有3个顶点,第②个图形共有6个顶点,第③图形共有10个顶点,…,按此规律排列下去,第⑥个图形顶点的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/12/74b406b9-7dd0-490e-a5cd-22485f332573.png?resizew=227)
A.21 | B.28 | C.36 | D.45 |
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