配套习题- 多边形缺角问题的解题策略 -【青果学院】

1/5单选题

难度：

1.一个多边形截去一个角后，形成另一个多边形的内角和为720°，那么原多边形的边数为（　　）

A	5
B	5或6
C	5或7
D	5或6或7

正确答案：RA==

6Kej77ya6K6+5paw5aSa6L655b2i55qE6L655pWw5pivbu+8jOWIme+8iG4tMu+8iSYjODIyNjsxODA9NzIw77yM6Kej5b6X77yabj02PGJyPuWboOS4uuaIquWOu+S4gOS4quinkuacieS4ieenjeaIquazle+8iOinhumikeS+i+mimDHmnInor6bop6PvvInvvIzmiYDku6Xljp/lpJrovrnlvaLnmoTovrnmlbDkuLo15oiWNuaIljc=

2/5单选题

难度：

2.一个多边形截取一个角后，形成另一个多边形的内角和是1620°，则原来多边形的边数是（　　）

A	10
B	11
C	12
D	以上都有可能

正确答案：RA==

6Kej77ya6K6+5paw5aSa6L655b2i55qE6L655pWw5pivbu+8jOWIme+8iG4tMu+8iSYjODIyNjsxODA9MTYyMO+8jOino+W+l++8mm49MTE8YnI+5Zug5Li65oiq5Y675LiA5Liq6KeS5pyJ5LiJ56eN5oiq5rOV77yI6KeG6aKR5L6L6aKYMeacieivpuino++8ie+8jOaJgOS7peWOn+Wkmui+ueW9oueahOi+ueaVsOS4ujEwLDExLDEy

3/5单选题

难度：

3.如果一个多边形除了一个内角外，其余各角的和为2030°，则这个多边形的边数是（　　）

A	12
B	13
C	14
D	15

正确答案：Qw==

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

4/5单选题

难度：

4.在一个多边形中，除了两个内角外，其余内角之和为2002°，则这个多边形的边数是（）

A	14
B	15
C	14或15
D	以上都不对

正确答案：Qw==

6Kej77ya6K6+6L+Z5Liq5aSa6L655b2i55qE6L655pWw5Li6bu+8jOS4pOS4quWGheinkueahOWSjOS4ung8YnI+5YiZ77yIbi0y77yJMTgwwrAteD0yMDAyPGJyPuino+W+l++8mng9MTgwbi0yMzYyPGJyPuKItTDCsO+8nHjvvJwzNjDCsDxicj7iiLQw77ycMTgwbi0yMzYy77ycMzYw77yMPGJyPuino+W+lyA8aW1nIHdpZHRoPTEwMyBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8yNC84Qi9yQkFDRTFOZU5sT3pYcWhpQUFBQ2NFS0tLRFEwNTUucG5nIj48YnI+4oi0IG49MTTmiJYxNQ==

5/5单选题

难度：

5.如果一个多边形的所有内角与一个外角的和是1360°，那么这个多边形的对角线一共有（　　）

A	14
B	28
C	27
D	54

正确答案：Qw==

6Kej77ya6K6+6L+Z5Liq5aSW6KeS5bqm5pWw5Li6eO+8jOagueaNrumimOaEj++8jOW+lzxicj7vvIhuLTLvvInDlzE4MMKwK3g9MTM2MMKwPGJyPuino+W+l++8mng9MTM2MMKwLTE4MMKwbiszNjDCsD0xNzIwwrAtMTgwwrBuPGJyPueUseS6jjDvvJx477ycMTgwwrDvvIzljbMw77ycMTcyMMKwLTE4MMKwbu+8nDE4MMKwPGJyPuino+W+lzxpbWcgd2lkdGg9ODAgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvRTgvODEvckJBQ0ZGTmVObHVCUWpwdEFBQUNMV2YtYmxFOTY4LnBuZyI+PGJyPuaJgOS7pW49OTxicj7miYDku6XlpJrovrnlvaLnmoTlr7nop5Lnur/kuIDlhbHmnIk5w5fvvIg5LTPvvInDtzI9MjfmnaE=