Class name score
A, multiple-choice questions (only one answer to each question is correct, each question 3 points, 36 points * * *)
1. If the set M={} and the set N={} are known, then m ().
(A){ } (B){ }
(C) {} (D)
2. As shown in the figure, U is a complete set, and M, P and S are three subsets of U, so the set represented by the shaded part is ().
(A) Male (B) Male
(c) (Member) (CUS) (D) (Member) (CUS)
3. If the domain of function y=f(x) is [2,4], the domain of function y=f(log x) is ().
(A)[ 1](B)[4 16]
(C)[ ] (D)[2，4]
4. Among the following functions, the one whose range is R+ is ().
(A)y= (B)y=2x+3 x)
y=x2+x+ 1 (D)y=
5. The three known internal angles are A, B and C, and B = 60 is the size of A, B and C in arithmetic progression ().
(a) Necessary and sufficient conditions (b) Necessary and insufficient conditions
(3) Necessary and sufficient conditions (4) It is neither sufficient nor necessary.
6. Let the domain of the even function f(x) be r, and when x is increasing function, the size relationship between f (-2), f () and f (-3) is ().
(A)f()& gt； f(-3)>f(-2) (B)f()>f(-2)>f(-3)
f()& lt； f(-3)& lt； f(-2)(D)f()& lt； f(-2)& lt； f(-3)
7.A = log0.70.8, B = log 1. 10.9, C = 1. 10.9, then ()
(A)A & lt； b & ltc(B)a & lt； c & ltb(C)b & lt； a & ltC(D)C & lt； a & ltb
8. In arithmetic progression {an}, if a2+a6+a 10+a 14=20, then a8= ().
10(B)5(C)2.5(D) 1.25
9. In the positive geometric series {an}, if A 1+A2+A3 = 1 and A7+A8+A9 = 4, the sum of the first 15 terms of this geometric series is ().
3 1 32 30 33
10. Let the first few terms {an} and Sn=n2+n+ 1, then the number {an} is ().
(1) arithmetic progression (2) geometric progression
(c) Geometric series starting from the second term; (d) arithmetic progression from the second item.
1 1. The inverse of the function y=a- is ().
(A)y =(x-A)2-A(x A)(B)y =(x-A)2+A(x A)
(C)y=(x-a)2-a (x ) (D)y=(x-a)2+a (x)
12. If the general term formula of series {an} an=, the sum of the first n terms is Sn= ().
(A) (B) (C) (D)
Fill in the blanks (4 points for each small question, *** 16 points)
13.Sum 1 +5 +…+(2n- 1) =。
14. function y = ax+b (a >; 0 and the image of a) passes through point (1, 7), and the image of its inverse function passes through point (4,0), then ab=
15. The domain of function y=log (log) is
16. The definition algorithm is as follows:
A then M+N=
Iii. Answering questions (48 points for this big question)
17. Three different real numbers A, B and C become arithmetic progression, and A, C and B become geometric progression. Find a: b: C. (8 points for this question).
18. The known function f(x)=loga.
(1) Find the domain of f(x);
(2) Judge and prove the parity of f(x). (This question 10)
19. At a newsstand in Beijing, the price of buying Beijing Daily from the newspaper was 0.20 yuan per copy, and the selling price was 0.30 yuan per copy. Newspapers that can't be sold can be returned to the newspaper at 0.05 yuan per copy. One month (calculated as 30 days), 400 copies can be sold every day for 20 days, and only 250 copies can be sold every day for the remaining 10 days, but the number of copies bought from the newspaper must be the same every day. How many copies can a promoter buy from the newspaper every day to maximize the monthly profit? And figure out how much he can earn at most a month? (This question 10)
20. There are two sets a = {x} and b = {x}. If A B=B, find the value range of A (this question 10)
The general formula of 2 1. sequence {an} an =, f (n) = (1-a1) (1-a2) (1-a3) ... (/kloc-0)
(1) Find f( 1), f(2), f(3), f(4) and guess the expression of f(n);
(2) Prove your conclusion by numerical induction. (This question 10)
Senior 1 (1) Mathematics Final Exam (Volume A)
First, multiple choice questions
The title is123455678911112.
Answer B C C D C A C B A D D A
Second, fill in the blanks
13. 14.64 15.(0, 1) 16.5
Third, answer questions.
17.∫a, B, C are arithmetic progression, ∴ 2B = A+C...①. And ∵a, B, C become geometric series, ∴ C2 = AB...②, ① ② Simultaneous solutions get a=-2c or A =-.
18.( 1)∵,∴- 1 & lt； X< 1, that is, the domain of f(x) is (-1, 1).
(2)∵x (- 1, 1) and f(-x)=loga is odd function.
19. Suppose the stall owner buys X newspapers from the newspaper office every day, and the monthly profit is Y yuan, then we can know from the meaning of the question that it is 250 x 400, and Y = 0.3xx20+0.3x250x10+0.05x (x-250) x65438+.
∫ The function f(x) monotonically increases on [250,400]. When x=400, the maximum y =825, that is, the stall owner can get the maximum profit by buying 400 newspapers from the newspaper office every day, and the maximum profit is 825 yuan.
20.A={x R }={x }，B={x R }={x }
∵ One, ∴ Get one