2015河南中学考试数学试卷英文版

1、 文档 年河南省普通高中招生考试试卷 2015 学数 s High Schools Entrance Exam 2015 Henan ProvinceM A T H 120100分钟 满分：分考试时间：120 Time limit：100 min Full marks：One.Multiple Choice (Total 8 questions, each question is 3pts,total 24pts) to the following, the largest one 1.According is 】【3 (D) -8 (A) 5 (B) (C) is s planform ge

2、ometry, at the it2.Look 】【 Front D B A C Question 2 is 3.4057 Scientific notation into put billion 】【 1210911 (A) 4.057 (B) 0.4057 (C) 40.57 (D) 4.05710101010dcba , 3=1251=2,are 4.Look at the picture, line , intersected with line ,. If 4= then 】【 (A) 55 (D) 75 (C) 70 (B) 60 c d a b Question 4 x?5?0?

3、 put on math axes is non-equality5.The ?13-?x? 文档 【 】6.Mr. Wang took part in a test. His writing, listening, reading grades in order were 85pts, 80pts, 90pts. If you put these grades into a scale of 2:3:5 in order, his final 【 】grade was (A) 255pts (B)84pts (C)84.5pts (D)86pts ABCDbisector draw an a

4、ngular use straight ruler at 7.Look the picture, inand compass , AEBFABBADAGAGBCE ,=5,then intersect 】 at = .If 【of =6,，named y P O 2x OO O 13 Question 7 Question rOOOxOy=1, they buildup a ,8.Look at the picture, in , the half circles .Their 321PP smooth curve. And there is a point , it moves to rig

5、ht along the curve; speed of Pon time So when at 2015s, is is /s. 2 【 】(A) (2014,0) (B) (2015,-1) (C) (2015,1) (D) (2016,0) Two.Fill In the Blanks(Total 7 questions,each question is 3pts,total 21pts) -10= . 9.Figure up:(-3)+3 BEDADEDEABBCACBD=3, =4,.10.Look at the picture, inpoint ,=2, are on ,.If A

6、BC?EC= . then 2akxyxA?y), then ( intersect with hyperbola(1,11.Look at the picture, line 0) at = xk= . B E A y D D A O C E B A C O x Question Question Question 10 文档 2xyyAyByC2-1,then the ), ) are all on parabola (-2,(4,-2), =(12.We know point 321yyy is . numerical relation of ,312 13.There are four

7、 same cards with four different numbers 1,2,3,4. Now put them into a black box and shake the box. Then, get one of them, write down the number and put it back, shake the box again. And take one of them again, write down the number. The probability of the numbers being different are . OAOACEAOBAOBC ,

8、14.Look at the picture, in sector , is the midpoint of =90, SCOOAECODrBA= . . Then we draw another sector , If at , =2, then intersect=gray AEABABCD EPoint ,Point is on =3. 15.Look at the picture. Square s side length is 16. EFBBCCFfolding, . Now fold on but never point along or After . is moving on

9、 , EBF?DBBBof then isosceles triangle, the length is at will be If . an ?CDB= . A D E B C F B Question Three.Applied Questions(Total 8 questions,total 75pts) 16.(8pts)First simplify, then figure up: 文档 2211ab?ab?2?(?)a?5?1b?5?1. ,in it 2a?2bba ABOP is moving 17.(9pts)Look at the picture. . Point is

10、the diameter of half circle ABBPCPCPBD is the midpoint on the half circle but never on , then , . Extend = until ACPDPO. of ,. Connect (1)Prove:; POBCDP? C P D A O B Question17 (2)Fill in the blanks: AOPDABS is ; =4, then If of quadrilateral max BPDOPBAOD is rhombus. = , quadrilateral , when Connect

11、 check, spot set interviewer up a ”how order 18.(9pts)In to know “people get news. The and made two incomplete charts. Result Sector Chart Result Bar Chart people 450 400 Others 400 9% 350 NewspapComputer er 300 26% 260 10% 250 200 TV 150 150 99 文档 (1)There are in the check; (2)In sector chart, the

12、central angle of “TV” is ; (3)Complete the bar chart; (4)If the number of whole population is 800 thousand, then please estimate the number of the people who get news by computer and mobile phone. xx m. 19.(9pts) An equation:(-2)=-3)(m is, the equation always has two different keys; (1)Prove:no matt

13、er what m and the other key. (2)If one of the keys is 1,then please work out 文档 20.(9pts)In order to know the height of the tree which grows on the other side of the D, and measures the elevation angle of the river: A math group stands on a slope at AB, measure , then they go down 6 m and stop at )

14、which is 30top of the tree (point FAEheight out the , =30then work . the elevation angle, which is 48If slope angle of the tree. 1.733? ）1.11,integer (Keep part. Some data: sin480.74, cos480.67, tan48 B F D 30 48 A C E Question2yuanvacation, /each. During summer are 21.(10pts)A swimming centers norm

15、al tickets 20 they come out with two plans: yuan/each, each time you will not have extra fee; Gold VIP card 600 yuanyuan. /each, each time you need to pay another 10 Silver VIP card 150 During summer vacation, normal tickets will also be on sale, but VIP cards can only x times, be used during summer

16、 vacation, no time limits. If the times of swimming is yuany, then answer the following questions. total fee is 文档 yx, both for normal tickets and and Silver VIP cards; (1)Write out the relation between (2)In the same coordinate system, three ways image is like the picture, please work ABC; ,out the

17、 coordinate of ,(3)According to the functions image, write out which way is the cheapest straight. y D600C B A O x Question 21 DABBCB is the midpoint of =2=8, ,22.(10pts)Look at the picture 1, in Rt=90ABC?DEEACBC?. . Spindeasil, and rotary angle is, is the midpoint of , connect EDC? 文档 (1)Find Quest

18、ions: AEAE?= . When,= ;When ?0?180? BDBD (2)Probe Into: AE? change or not? According to the picture will Try to judge: When, ?0?360? BD2 only and prove it. (3)Work out the Questions: BDADE , When spin until are at the same line, write out the length of EDC?straight. E A A A D E B B B D C C C Another Picture 2 Picture 1 文档 OABC 23.(11pts)Look at the picture. Square s side length is 8, and two sides of the CAP is is the top of the parabola, square are on the axis. is also on the parabola, AC ACPFBCFD(0,6), moving on the parabola between ). Then, we dra