北京市西城区抽样测试Sampling test in Beijing Xicheng District in.docx

1、北京市西城区抽样测试Sampling test in Beijing Xicheng District in北京市西城区2004年抽样测试（Sampling test in Beijing, Xicheng District in 2004）Sampling test in Beijing, Xicheng District in 2004Mathematics test paper for senior three (Wen Ke)Two thousand and four point fiveThe school _ _ class name _Reference formula:The

2、product of sum and differentiation of trigonometric functionsThe area of the side is truncated cone frustum and formulaAmong them, C said on the bottom surface of the perimeter, l or ofbending long busVolume formula of spheresA choice: the big questions, 8 items, each item of 5 points, a total of 40

3、 points. For each question there are four options, one is in line with the requirements of the subject.The two line is (1.) hyperbolic equationA.B.C.D.The sufficient and necessary condition for the establishment of 2. inequality (2x-1) (1-|x|) 1, or B.x1, orC.D.x-1, or3. the fixed point A (0, 1) poi

4、nt B moves on the line y=x. When the line segment AB is at its minimum, the coordinates of the point B are ()A.B.C.D.4. known alpha, beta represents flat, m, n means straight line. The following proposition is correct ()If the A. / alpha beta, m/n.B. if an alpha, beta, m, N GroupIf the C. m/ alpha,

5、n/ beta, M group of N, is an alpha betaD. m if an alpha, beta m/n, n t, then the alpha / beta5. the inverse function of a function is ()A., X (1, 3)B., X (1, 3)C., X (1, 3D., X (1, 36. in complex plane, the complex number of vectors is 2+i, the complex number corresponding to vector is -1-3i, and th

6、e complex number corresponding to vector is ()A.1-2I B.-1+2I C.3+4I D.-3-4i7. set A=1, 2, 3, 4, 5, a, B, A, said the focus is on the elliptic equations on the Y axis (a)A.5, B.10, C.20, D.258. of the population problem is one of Chinas biggest social problems, the estimated number of population and

7、development trend is our foundation to develop a series of related policies. The annual population statistics, can China follows from 1974 to 1999 population data:Particular yearOne thousand nine hundred and seventy-fourOne thousand nine hundred and seventy-nineOne thousand nine hundred and eighty-f

8、ourOne thousand nine hundred and eighty-nineOne thousand nine hundred and ninety-fourOne thousand nine hundred and ninety-ninePopulationNine point zero eightNine point seven fiveTen point three fiveEleven point zero sevenEleven point seven sevenTwelve point five zero(unit: 100 million)It can be esti

9、mated that the number of people in China in 2004 is ()A.13.02 billion B.13.22 billion, C.13.42 billion D.13.66 millionTwo, fill in the title: 6 items, each item of 5 points, a total of 30 points. Write the answers in the title on the line.9. if the function is an odd function, f (x) =_.The 10. funct

10、ion in 0, 1 and the maximum value and the minimum value is 3, then the value of a is _.A minimum of 11. function is _.The mid point of the 12. line L circular section AB is the chord, then linear l equations for _; |AB|=_.13. let the edges of the cube of length a, with its six faces of the center fo

11、r the vertices of the polyhedron volume is _.As shown in figure 14., a number of N rows n columns square. Symbol is located in the I for the j column known positive. Each line of the number of arithmetic progression, each column the number of geometric series, and the column number is equal to the r

12、atio of Q. Then, if, q=_;.Three, answer questions: this topic 6 items, a total of 80 points. The answer should be to write the text, the proof or the calculation steps.15. (12 points out of the question)Let x, R, f (x) function is known. The minimum positive period for PI, and.(I) find the sum of th

13、e sum of omega;(II) finding the monotonically increasing interval of F (x)16. (14 points out of the question)As shown in Fig. three, the E is the midpoint of the AC(I) verification:;(II) proof:;(III) if, for the size of the dihedral angle.17. (12 points out of the question)A commodity in the last 30

14、 days of each piece of the sales price (yuan) P and t (day time) the function satisfies approximately. The Commodity daily sales of Q () and t (time of day) the function approximation satisfies Q=-t+40 (t = 1 30). The maximum value for the goods on sale the amount of,And point out that the maximum a

15、mount of daily sales is the first 30 days of the day18. (14 points out of the question)Set the function f (x) = 0, a 1.19. (14 points out of the question)Known fixed-point A (-2, -4), over point A as a tilt angle of 45 degrees linear l parabolic parabola (P o) at B, C two points, and |AB|, |BC|, |AC

16、| into geometric series(I) parabolic equation;(II) whether there is a point D in the parabola of (I), so that |DB|=|DC| is established? If it exists, find the coordinates of the point D; if not, explain the reason20. (14 points out of the question)The known positive sequence and, (0 a 1), when n = 2

17、,.(I) proof: Yes, whatever;(II) finding the general term formula of a series;Third, mathematics (liberal arts) reference answers and scoring standardsA choice: the big questions, 8 items, each item of 5 points, a total of 40 points.1.C, 2.B, 3.C, 4.D, 5.A, 6.D, 7.B, 8.BTwo, fill in the title: 6 item

18、s, each item of 5 points, a total of 30 points.9.2x+3 (5 points) 10.2 (5 points) 11.-2 (5 points)12. (first empty 2 points, second empty 3 points)13. (5 points)14.; (first empty 2 points, second empty 3 points)Three, answer questions: this topic 6 items, a total of 80 points, the other solution, ple

19、ase copy this to the point.15. (12 points out of the question)Solution: dreams of F (x) the minimum positive period for pi *. 3.Star dreamsDreams, star. 5.Sorghum. 8.(II) solution: obtained by (I),When l,Immediately, f (x) monotonically increases* f (x) monotonically increasing interval is. 12.16. (

20、14 points out of the question)(I) that is: dreams are three prism,LLDreams is a regular triangle Delta ABC, E is the midpoint of AC,LSo,. 4.(II) prove: evenDreams is three prism,R is a rectangle, D is the midpoint.E AC is the midpoint of dreams,L DE. dreams,L plane. 8.(III) solution: for G, even CG.

21、Know from (I) plane,*. 9.Hence FG is CG in the plane of the projection.According to theorem three. *,L / CGF is plane dihedral angle. 11.AB=a, dreamsIn the Rt DeltaIn the Rt DeltaIn dreams, *.The size of the dihedral angle is 45 degrees w.14.17. (12 points out of the question)Solution: the daily sal

22、es amount is y yuan, and y=P = Q:. 2 pointsLThat is,. 6When. 8When monotonically decreasing,R t=25,. 10.Star.The maximum amount of the goods sold dry for 1125 yuan, and nearly 30 days in the twenty-fifth day of the biggest sales.12.18. (14 points out of the question)(I) prove: take it, and,. 3Dreams

23、,. 5.Dreams, star.That is, dry.So, the increasing function of R.8.(II) solution: 1 solution of dreams,*. 11.Solutions to inequalities (1) are obtained,Solutions to inequalities (2) are obtained,0a1,.The original Star dreams, inequality solution set for.13.19. (14 points out of the question)(I) solut

24、ion: the linear l equation is y=x-2, and is substituted by it,Sort out. For. 2P0 dreams, *.Set.*.4.|AB| |BC|, |AC| dreams, equiratio sequences,Star.L,Organize as.Will be replaced by the formula, the solution p=1.Hence the parabolic equation.7.(II) solution: suppose that there is a point on the parab

25、ola that makes |DB|+|DC|,Remember the line BC at the midpoint ofThen.10 minutesWhen p=1, the form becomesSo,.Acupuncture point should meet.12.Get itThere is little or dry (8, -4), the establishment of |DB|=|DC|. 14.20. (14 points out of the question)(I) proving: proving by mathematical induction:Whe

26、n n=1, the proposition is established;. 2Assume that when n=k, the proposition is established, i.e., when n=k+1,.L when n=k+1, the proposition is also true.Synthesis one, two know, pair of Heng holds water.7!(II) solution: dreams,*.11.Perylene series is tolerance of 1 arithmetic progression, the first item is.*.14.Note: (I), (II) two questions, independent points.North high school school I wish you success in the college entrance examination