配套习题- 等差数列常见性质的应用 -【青果学院】

1/5单选题

难度：

1.在等差数列{

_n}中，

₁+

₅=16，则

₃等于（　　）

A	8
B	4
C	-4
D	-8

正确答案：QQ==

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

2/5单选题

难度：

2.已知△ABC中，三内角A、B、C成等差数列，则sinB=（　　）

A
B
C
D

正确答案：Qg==

6Kej77ya55Sx6aKY5oSP5Y+v5b6X77yMQStDPTJCPGJyPuKItUErQitDPTE4MMKwPGJyPuKItEI9NjDCsO+8jHNpbkI9PGltZyB3aWR0aD0yOCBoZWlnaHQ9NDYgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC84MC9ENC9yQkFDRTFNMU44V1Iwd0JHQUFBQnlndThVTlE5NjIucG5nIj48YnI+5pWF6YCJQg==

3/5单选题

难度：

3.已知等差数列{

_n}中，

₅+

₉=2，则S₁₃=（　　）

A	11
B	12
C	13
D	14

正确答案：Qw==

6Kej77ya4oi15Zyo562J5beu5pWw5YiXezxpbWcgd2lkdGg9MTQgaGVpZ2h0PTE2IHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvODEvMTcvckJBQ0UxTTFRNnVUX0J4LUFBQUJIRXVlMGVvNDUzLnBuZyI+PHN1Yj5uPC9zdWI+feS4rSw8aW1nIHdpZHRoPTk3IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzgxLzE3L3JCQUNFMU0xUTY3aEd3S3RBQUFET2tzVWhFczkyNy5wbmciPiA8YnI+4oi0PGltZyB3aWR0aD0yNzQgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvNUQvNEMvckJBQ0ZGTTFRNjdRalJZcEFBQUZQV280M2NFNTQ2LnBuZyI+PGJyPuaVhemAiUM=

4/5单选题

难度：

4.已知等差数列{

_n}中，S₁₀=120，那么

₂+

₉等于（　　）

A	12
B	24
C	36
D	48

正确答案：Qg==

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

5/5单选题

难度：

5.无穷多个正整数组成（公差不为零的）等差数列，则此数列中（　　）

A	必有一项为完全平方数
B	必有两项为完全平方项
C	不能有三项为完全平方项
D	若有平方项，则有无穷多项为完全平方项

正确答案：RA==

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