名校
1 . 已知最外圈的小正方形个数分别为:
,
,
;
个图形最外圈的小正方形个数是: ;
(2)写出第
个等式:( )
-( )=( ),并证明其正确性;
(3)利用(2)中的规律计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c64abb5fc9a8b474dfb10bf9607b78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/670ed907c479a020836bcd9bd58b64fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c5b874055ea47f73d4a2864889bc34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)写出第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921ef5abce73648e3834140df9a72aa8.png)
(3)利用(2)中的规律计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d578104ae34d5d8ed0d1c348eede99.png)
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2 . 先化简,再求值:
,其中
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b181f2ea64ec8811e9847f60ce3d02ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e7c300c2def88e87e2a8108655993c.png)
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3 . 计算
的结果是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108eaa9535eb6e8ff7be1c2a225d1a63.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 先化简再求值:
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4762b3c8e59e1003df7cfaf669e5fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd24f3c4bc9f9a75d4b28630bb630d2b.png)
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5 . 先化简,再求值:
(1)
,其中
;
(2)
,其中
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31d1e32ef22c967996314d64a9273c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fac6208afa9c2f18d070817435d425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711176b6dfcddda0fcfa53205a8a4e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03eb8e6fa55f350635315da9ae4550de.png)
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名校
6 . 先化简,再求值:
,其中
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ee53bba9a029b3977a7011e97c5b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
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7 . 先化简,再求值:
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493fcd213f3bfd43e07adab439f75949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d11196c1805e795aa4446decd8b9ac.png)
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8 . 下列各式中计算正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 下列运算结果正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 已知
,满足等式
,
,则
的值为 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11a069688e4c797fcf527eab15afa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52723133434c6627f6551158b93c30b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12eddc2c25dc0bdb96172caab95a7dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d0f21d91ba8c4d7a9ea415af0ee2f9.png)
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