1. Let the set M={Hx-2|2}, then MnN= ().
A.{ x 1 & lt; x2 } & lt/x
C.{ x2 & ltx & lt/x
Answer: c
2. Let the function f(x)=x? , then f(x+ 1) ()
A.x? +2x+ 1 B.x? +2x C.x? + 1 D.x?
Answer a
3. In the following functions, odd function is ().
A.y=cox B.y=sinx C.y=2* D、y=x+ 1
Answer b
4. Let A be the third quadrant angle, and if cosa=- radical 2/2, then sina= ().
A, radical number 2/2 B, 1/2 C,-1/2 D,-radical number 2/2
Answer d
5. function y=x? The inverse function of+1(x≤0) is ()
A.y=- radical number x- 1(x≥ 1) B.y= radical number x- 1(x≥ 1) C.y- radical number x-1(x ≥ 0) d.
Answer b
6. It is known that the space vector ijk is a unit vector perpendicular to each other, and the vector A = 2i+3j+MK; If |a|= root number 13, then m=
A.-2 B.- 1 C.0 D. 1
Answer c
7. Give the following two propositions:
① If a straight line is perpendicular to a plane, it is perpendicular to any straight line of the plane.
(2) Take any point on the edge of dihedral angle as the endpoint and make rays on both sides of dihedral angle, then the angle formed by these two rays is the plane angle of dihedral angle.
Then:
A 1 2 is a self-proposition B 1 is a self-proposition, ② is a false proposition C 1 is false, ② is true D 1 2 is false.
Answer b
II. Fill in the blanks (4 small questions in this big question, 4 points for each small question, *** 16 points)
18. The coordinates of the point (4,5) symmetrical about the straight line y=x are (5,4).
19. Logarithm, 3+ 10g, 5/3- 10g, 5/8=(3)
20. Students from a school participated in a science and technology knowledge contest, and the scores of eight students were taken as sample data as follows: 90, 90, 75, 70, 80, 75, 85, 75, so the average value of the sample was (80).
2 1. Let the function f(x)=xsinx, then f'(x)=sinx+xcosx.
Third, solve the problem (this big question ***4 small questions, ***49 points, the solution should write reasoning and calculus steps)
22. in △ABC, b = 120, BC=4, and the area of △ABC is 4√3. Looking for AC
Answer AC=4√3
23. It is known that A, B and C are arithmetic progression, and A, B and c+ 1 are geometric progression. If b=6, find a and c.
The answer is a=4 and c=8.
24. It is known that the slope of the straight line 1 is 1, 1 passes through the parabola L: x? = 1/2y focus, which intersects with L at points A and B.
(1) Find the coordinates of the intersection of the directrix of 1 and l;
② Find |AB|
The answer is being updated.
25. Let function (x)=x3-4x.
( 1) Find: f' (2)
(2) Find the maximum and minimum value of f(x) in the interval.
The answer is being updated.
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