配套习题- 二次根式的材料型问题探究 -【青果学院】

1/5单选题

难度：

1.k、m、n为三整数，若

=k

，

=15

，

=6

，则下列有关于k、m、n的大小关系，何者正确？（　　）

A	k＜m=n
B	m=n＜k
C	m＜n＜k
D	m＜k＜n

正确答案：RA==

6Kej77yaPGltZyB3aWR0aD0zNyBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC83NC82RS9yQkFDRkZQa09PUFRQZldZQUFBQnR3X2pSVXM1OTQucG5nIj49MzxpbWcgd2lkdGg9MjggaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvQjIvMEMvckJBQ0UxUGtPT1B4WlU5TkFBQUJsakE2MjNNOTkxLnBuZyI+77yMPGltZyB3aWR0aD0zNyBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC9CMi8wQy9yQkFDRTFQa09PUHcwcEVHQUFBQnh6X0s0ajQ2NjcucG5nIj49MTU8aW1nIHdpZHRoPTE5IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0IyLzBDL3JCQUNFMVBrT09QenFxWVRBQUFCZXhYdm5mczY1Ni5wbmciPu+8jDxpbWcgd2lkdGg9MzcgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvQjIvMEMvckJBQ0UxUGtPT09ETW1TQUFBQUJ4U2RydGw4MTYwLnBuZyI+PTY8aW1nIHdpZHRoPTE5IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwL0IyLzBDL3JCQUNFMVBrT09PRHp1NXNBQUFCYlhheVphdzY0OC5wbmciPu+8jDxicj7lj6/lvpfvvJprPTPvvIxtPTLvvIxuPTXvvIw8YnI+5YiZbe+8nGvvvJxuLiA8YnI+5pWF6YCJRA==

2/5单选题

难度：

2.甲、乙两人对题目“化简并求值：

+

，其中a＝

”有不同的解答，
甲的解答是：

+

=

+

=

；
乙的解答是：：

+

==

+

=

；
在两人的解法中（　　）

A	甲正确
B	乙正确
C	都不正确
D	无法确定

正确答案：QQ==

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

3/5单选题

难度：

3.设S₁=1，S₂=1+3，S₃=1+3+5，…，S_n=1+3+5+…+（2n-1），S=

+

+……+

，其中n为正整数，用含n的代数式表示S为（　　）

A	n
B
C
D

正确答案：RA==

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

4/5单选题

难度：

4.

化简1√8+√11 +1√11+√14 +1√14+√17 +1√17+√20 +1√20+√23 +1√23+√26 +1√26+√29 +1√29+√32 的结果是（）

A	1
B
C
D

正确答案：Qg==

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

5/5单选题

难度：

5.

+……+

的值是（）

A
B
C
D

正确答案：Qg==

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