配套习题- 构造一次函数模型解决有关规律探索问题 -【青果学院】

1/5单选题

难度：

1.用大小相同的小三角形摆成如图所示的图案，按照这样的规律摆放，则第n个图案中共有小三角形的个数是（）.

A	3n+4
B	2n+4
C	3n-4
D	3n+2

正确答案：QQ==

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

2/5单选题

难度：

2.按如下规律摆放三角形：

则第（n）堆三角形的个数为（）.

A	3n-2
B	2n+3
C	3n+2
D	2n-3

正确答案：Qw==

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

3/5单选题

难度：

3.下列图案都有若干个全等的等边三角形按一定的规律摆放而成，依此规律，则第10个图中等边三角形的个数为（　　）

A	28
B	32
C	36
D	40

正确答案：RA==

6Kej77ya6K6+56ysPGltZyB3aWR0aD0xNCBoZWlnaHQ9MTYgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC85RS83OS9yQkFDRTFPVllKZnpEZ2RzQUFBQkt5NWw2T1E2MzkucG5nIj7kuKrlm77lvaLkuK3lsI/kuInop5LlvaLnmoTkuKrmlbDkuLp5LOeUsemimOaEj+iuvnk9a24rYjxicj7iiLUoMSw0KeOAgSgyLDgp5ZyoeT1rbiti5LiKPGJyPiDiiLQgPGltZyB3aWR0aD03MiBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC82Mi82My9yQkFDRkZPVllKX0NfZGpBQUFBQ2JIWUpMUWszMDkucG5nIj48YnI+6Kej5b6X77yaIDxpbWcgd2lkdGg9NDAgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvOUUvNzkvckJBQ0UxT1ZZSi1nRDhvZEFBQUNFei00MFM0MTMwLnBuZyI+PGJyPuKItCB5PTRuIDxicj7mo4Dpqow65bCGbj0z5Luj5YWlIHk9NG49NMOXMz0xMu+8jOespuWQiOesrDPkuKrlm77nmoTnibnlvoHvvJs8YnI+IOWwhm49NOS7o+WFpSB5PTRuPTTDlzQ9MTbvvIznrKblkIjnrKw05Liq5Zu+55qE54m55b6B77ybPGJyPuKItCDmiYDmsYLnmoTlhbPns7vlvI/mu6HotrPmiYDnu5nlm77lvaLnmoTop4TlvovvvIzlm6DmraTvvIznrKw8aW1nIHdpZHRoPTE0IGhlaWdodD0xNiBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzlFLzc5L3JCQUNFMU9WWUpmekRnZHNBQUFCS3k1bDZPUTYzOS5wbmciPuS4quWbvuW9ouS4reeahOWwj+S4ieinkuW9oueahOS4quaVsOaYrzRu77yM5b2Tbj0xMOaXtu+8jHk9NMOXMTA9NDDjgII8YnI+5pWF6YCJROOAgg==

4/5单选题

难度：

4.按如下规律摆放五角星：

按上面的规律继续摆放，其中恰好含有2014个五角星的图案是第（）个。

A	670
B	671
C	672
D	673

正确答案：Qg==

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

5/5单选题

难度：

5.如图，是一组按照某种规律摆放而成的图案，则图6中三角形的个数是（）

A	18
B	19
C	20
D	21

正确答案：Qw==

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