三角形三边的长都是正整数，其中最长边的长为10，这样的三角形有_爱下问搜题

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问题选择题

三角形三边的长都是正整数，其中最长边的长为10，这样的三角形有（　　）

A．55种

B．45种

C．40种

D．30种

答案

当2边长分别为10，10时，第3边可取1，2，3，4，5…9，10，这样的三角形有10种；

当2边长为10，9时，第3边可取2，3，4，5，…9，这样的三角形有8种；

当2边长为10，8时，第3边可取3，4，5，6，7，8，这样的三角形有6种；

当2边长为10，7时，第3边可取4，5，6，7，这样的三角形有4种；

当2边长为10，6时，第3边可取5，6，这样的三角形有2种；

这样的三角形共有10+8+6+4+2=30（组）．

故选D．

完形填空

I have spent years of my life traveling all over the world. When I arrive in a new country or city, usually I am very 36  and go to bed early. For this 37  my first day or night in any new place is always quiet and very 38 happens. 39  my first night in Algeciras was very different. This night was very  40   and unusual.
At that time   41  in Southern Spain was a dirty and  42  looked-after city. I arrived late in the evening by 43 . As soon as I got off the boat, I went to look for a   44 . I found a small hotel not far from the boat.
This hotel looked 45 and untidy from the outside. But I was very tired and did not know my 46 around the city of Algeciras. And so I decided to stay in this 47 hotel on the quay(码头). I also decided to stay in this hotel for another   48 . The moon was full and it was a clear,   49 night. From the hotel I could 50 the sea. I could see the huge rock of Gibraltar in the bright moonlight.
The hotel had a narrow 51 and no name. When I went through this doorway, I had to climb up narrow and dark stairs to the first floor. I 52 a small cupboard with a desk in front of it. This was the hotel office.
An untidy and tired woman was sitting beside the 53 . When I said I wanted a room for the night, she took me 54 some more stairs to a room on the second floor. Inside this room the landlord was sitting playing cards with some friends. He was 55 his game of cards and I was simply a nuisance(讨厌的人). He looked at me when the woman told him that I wanted a room. Then he said, Room Five, and turned back to his game of cards.

D．interesting

D．funny-looking

D．sight-seeing

A．look down at

D．bulletin-board

D．escaped from

多项选择题

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