2009-20 10 school year, the first monthly exam last semester.
Reference answers and grading standards of mathematics (literature) in senior three.
A, multiple choice questions (this question *** 12 small questions, each small question 5 points, ***60 points.
1.d . 2 b . 3 c . 4 b . 5。 A 6.B. 7.C. 8.D. 9A。 10 . a 1 1 . c 12 . c
Two. Fill in the blanks: (This topic is entitled ***4 small questions, with 4 points for each small question, *** 16 points)
13. 14.5 15. 16.
Third, answer: This big question is ***6 small questions, ***74 points.
17. (The full score of this small question is 12)
Solution: (1) Let f(x)=ax2, ..................... 1 min.
allow
............................., 4 points.
Another 2.........................6 points.
(2) according to the meaning of the question: 2 > 3x+m is a constant in the interval, that is, m.
Let g(x)= x2-4x+ 1.x, then g(x)=(x-2)2-3. Because x, when x=2, g(x) takes the minimum value g(2)=, so m
18. (The full score of this small question is 12)
Solution: 2 points for ..............................
, ... 4 o'clock ... 4 o'clock ...
( 1) ; ............................. scored six points.
(2) Because the solution set of is,
So for these two,
Therefore, ... 10, so ............... 12.
19. (The full score of this small question is 12)
Solution: (1)
........................., 4 points.
The minimum positive period of the ∴ function is .............................. 5.
The monotonic increasing interval of the ∵ function is,
∴ ,∴ ,
The monotonic increasing interval of function f(x) is, ... 8 points.
(2) when, Ⅷ ...
The range of the function is 12 points.
20 (the full score of this small question is 12)
Solution: (1)∫ and,
∴.. 2 points
From sine theorem, ... 3 points.
∴ ............................6 points.
(2)∵
... 9 points
∴ ... 10 point
According to the cosine theorem, ... 1 1 min.
∴ ... 12 point
2 1. (The full score of this small question is 12)
If the solution is (1) ∵, f (x) =-x (x- 1) 2 =, ... 2 points.
∴, ...3 points
The tangent equation is: y-4=-8(x+ 1), that is, y =-8x-4...4 points.
(2) 5 points.
Order, obtain,
∵, ∴, that is ∴, ... 6 points.
When, the monotone increasing interval of is; ..... 7 points
When, ... eight points.
The monotone decreasing interval of is sum ... 9 points.
(3)∵,; ..... 10 point
When,; ... 1 1 min.
The maximum value is 2 of ∴.
That is, the solution is a = 1... 12.
22 (the full score of this small question is 14)
Solution: (1) (x >; 0)
..... 3 points
When 0
When x> is > 0, F(x) increases by ... 5 points.
When x=, the minimum value of F(x) is 0...6 points.
(2) Available =...7 points.
, ... 9 points
When x; , G(x) increase ... 1 1 min.
X> 1, if 1, that is, a 2, G(x) increases at (1,), there is an infinite value. ..... 12 point
If > 1, that is, a>2, G(x) decreases at (1,) and increases at (,). ..... 13 point
So there is a minimum value, and this minimum value is ... 14 points.