First, multiple-choice questions:
1, let the set m = {x | x2-x- 12 = 0} and n = {x | x2+3x = 0}, then M∪N is equal to.
A.{ 3 } b . { 0，-3，4} C.{-3，4} D.{0，4}
2. Set a scene,
A.B. C. D。
3. Given that the complete set I = {x | x is a positive integer less than 9}, set M = {1, 2,3} and set N = {3 3,4,5,6}, then (IM)∩N is equal to.
A.{3}B.{7，8} C.{4，5，6} D. {4，5，6，7，8}
4. Let a = {x | x freestyle swimmer} and b = {x | x breaststroke swimmer}. For "freestyle swimmer and breaststroke swimmer", the set operation is expressed as
A∪B(B)A B(C)A∪B(D)A B
5. Given that the domain of a function is and the domain of is, then
A.B. C. D。
6. In the following four functions, in (0, ∞) is increasing function.
(A)f(x)= 3-x(B)f(x)= x2-3x(C)f(x)=-| x |(D)f(x)=-
7. As shown in the figure, the liquid leaks into the cylindrical barrel from the conical funnel. At first, the funnel was full of liquid, and it leaked out after 3 minutes. Given that the rising speed of the liquid level in the cylinder is constant and H is the falling distance of the liquid level in the conical funnel, the image represented by the functional relationship between H and the falling time t (minutes) can only be
A.B. C. D。
8. Function y= Yes
A. odd function B. Even function C. It is both odd function and even function D. It is both odd function and even function.
9. The value of the function rule is
A. BC 18
10, the even function defined on r is a increasing function on [0,7] and a decreasing function on [7,+], and then,
A, increasing function on [-7,0], the maximum value is 6 B, and increasing function on [-7,0], the minimum value is 6.
C is a decreasing function on [-7,0], with a minimum value of 6 D and a decreasing function on [-7,0] with a maximum value of 6.
Fill in the answers to multiple-choice questions in the table below, or score zero.
The title is 1 23455 6789 10.
answer
Second, fill in the blanks:
1 1, given the set u = {1, 2,3,4,5}, a = {2 2,3,4}, b = {4 4,5}, then a ∩ (UB) = _ _
12, set A =-2, 3, 4-4, set B = 3, if B A, then real number =.
13. As we all know, f(x) is an even function. When x < 0, f (x) = x (2x- 1), then when x > 0, f (x) = _ _.
14, f (x) = known, if f (x) = 10, then x = _ _ _ _ _ _
Third, answer questions:
15, if,,, ask.
16, prove that the function f (x) = monotonically decreases in [3,5], and find the maximum and minimum values of the function in [3,5].
17 As shown in the figure, it is known that the isosceles trapezoid ABCD with a base angle of 450 has a base BC of 7cm and a waist length of. When a straight line L perpendicular to the bottom BC (vertical foot F) moves from left to right (having a common point with the trapezoid ABCD), the straight line L divides the trapezoid into two, so that BF = X. Try to write the areas y and x of the left part.
Additional question: 18, judge the parity of the following function.
( 1) ;
(2)
(3) It has any known function.
Reference answer
1、B 2、B 3、C 4、C 5、D 6、D 7、A 8、B 9、C 10
1 1 、{2，3} 12、2 13、x(2x+ 1) 14 、-2
15, solution, press, available or, solution or 5.
When,, and, the elements in set B violate mutual anisotropy, so they are discarded.
When,,, meets the meaning of the question, at this time.
At this time, it was contradictory, so I gave up. To sum it up.
16, which can be proved by definition. The maximum value of f(x) is: and the minimum value is:
17, solution: the passing points are respectively, and the vertical feet are respectively. Because ABCD is an isosceles trapezoid with a base angle of,, so, still, so.
When is the (1) point, it is the time;
(2) When the point is at the top, that is,
(3) When the point is on, that is, when =.
So, the resolution function is
18, (1) odd function
(2) Solution: The domain of the solution (1) function is and. The image is symmetrical about the origin and Y axis, so it is both a odd function and an even function.
(3) The domain of the function is.
When,,
When,,
In a word, for anyone, it is odd function.