2009年陕西省中考数学试题及答案(5)

时间:2025-03-09

(2) 1500 26% 390,

······························································· (6分) 该校最喜欢篮球运动的学生约为390人. ·

(3)如“由于最喜欢乒乓球运动的人数最多,因此,学校应组织乒乓球对抗赛”等.(只要根据调查结果提出合理、健康、积极的建议即可给分) ·············································· (7分) 20.(本题满分8分)

解:过点D作DG⊥AB,分别交AB、EF于点G、H, 则EH AG CD 1.2,

DH CE 0.8,DG CA 30. ························ (2分) EF∥AB, FHDH . ························································· (5分)

DG

由题意,知FH EF EH 1.7 1.2 0.5.

0.50.8 ,解之,得BG 18.75. ··················· (7分) (第20题答案图) BG30

AB BG AG 18.75 1.2 19.95≈20.0.

····························································································· (8分) 楼高AB约为20.0米. ·

BG

21.(本题满分8分)

解:(1)不同.理由如下:

往、返距离相等,去时用了2小时,而返回时用了2.5小时,

····································································································· (2分) 往、返速度不同. ·

(2)设返程中y与x之间的表达式为y kx b,

120 2.5k b,

0 5k b.

k 48,

解之,得 ········································································································ (5分)

b 240.

2.x≤x5≤)(5(评卷时,自变量的取值范围不作要求) ····· (6分) y 48x 240.

(3)当x 4时,汽车在返程中,

y 48 4 240 48.

················································ (8分) 这辆汽车从甲地出发4h时与甲地的距离为48km. ·22.(本题满分8分)

解:这个游戏不公平,游戏所有可能出现的结果如下表:

第二次

3 4

第一次3 4 5 6

33 43 53 63

34 44 54 64

5 35 45 55 65

6 36 46 56 66

表中共有16种等可能结果,小于45的两位数共有6种. ·························

················· (5分)

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