class
(full name)
mark
One,
Multiple choice questions (only one answer to each question is correct, with 3 points for each question and 36 points for * * *).
1. known set M={
}, set N={
}, then m
(
)。
(1) {
}
(B){
}
(C){
}
(4)
2. As shown in the figure, U is a complete set, and M, P and S are three subsets of U, then the set represented by the shaded part is (
)
(A)(M)
(B)(M)
(C)(M)
p)
(CUS)
(D)(M)
p)
(CUS)
3. If the domain of function y=f(x) is [2,4], y=f(log
The domain of x) is (
)
(A)[
, 1]
[4， 16]
(C)[
]
(D)[2，4]
4. Among the following functions, the function with the range of R+ is (
)
(A)y=
y=2x+3
x
)
(C)y=x2+x+ 1
y=
5. Known
The three internal angles of are A, B and C, and B = 60 is the size of A, B and C in arithmetic progression (
)
(a) Sufficient non-essential conditions
(2) Necessary but insufficient conditions
(c) Necessary and sufficient conditions
(d) It is neither sufficient nor necessary.
6. Let the domain of even function f(x) be r, when x
When f(x) is increasing function, then f(-2), f (
), the size relationship of f(-3) is (
)
(A)f(
)& gtf(-3)>f(-2)
(B)f(
) & gtf(-2) > Female (-3)
(C)f(
)& ltf(-3)& lt； f(-2)
(D)f(
)& ltf(-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,
A8=(
)
10
(B)5
2.5
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 (
)
(1) 3 1
32 people
30
33
10. Let the first few terms {an} and Sn=n2+n+ 1, then the number {an} is (
)
arithmetical progression
(2) Geometric series
(c) Geometric series starting from the second term.
(d) arithmetic progression from the second item.
1 1. function y=a-
The inverse function of is (
)
y=(x-a)2-a
(x)
answer
y=(x-a)2+a
(x)
answer
y=(x-a)2-a
(x)
)
y=(x-a)2+a
(x)
)
12. The general formula of series {an} an=
, the first n terms and Sn= (
)。
(1)
(2)
(3)
(4)
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 a
) crosses the point (1, 7), and the image of its inverse function crosses the point (4,0), then ab=
15. Function y = logarithm
(log
) is defined as
16. The definition algorithm is as follows:
a
Then M+N=
Iii. Answering questions (48 points for this big question)
17.( 1) series {a? satisfy
(2) series {a? satisfy
(3) The sequence {an} satisfies, a 1= 1, and the sum of the first n items of the sequence {an} is Sn, when
When, meet
Find serial number
18. 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
}，B={x
} if a
B=B, find the range of A (this question 10)
2 1. (The full score of this small question is 12)
It is known that arithmetic progression {an} satisfies.
Sequence {bn} satisfies
(i) Find the general term formula of the sequence {bn};
(ii) Let cn=anbn and Sn be the sequence {c? The first n terms of n}, find Sn.