The test paper is divided into two parts: the first volume (multiple choice questions) and the second volume (non-multiple choice questions). The full score of the whole paper is 150, and the examination time is 120 minutes. The first volume (multiple choice questions ***40).
A, multiple-choice questions (this big question * * 10 small questions, each small question is 4 points ***40 points, four options are given in each small question, only one can be selected.
Meet the requirements of the topic. )
1. Given a set 2x, then () M{x|yx? 4x？ 5}，N{y|yln(e+ 1)}(CM)NRA。 ( 1，5)B.(0，5)C.( 1，5)d .(0，5)| z 1 |
2. If z 13=? I, z2 1=+3i, then () | z2 | a.1b.2c.3d.10 | a |? b
3. known a, b? R, so ""is a? () of | b | a. Sufficient and unnecessary conditions B. Necessary and insufficient conditions C. Necessary and sufficient conditions D. Neither sufficient nor unnecessary conditions
4. If a function is set, then the parity () f(x)sin (? x=+？ ) (0) F (x) A. is relevant, and relevant B. is relevant, but irrelevant C. is irrelevant, and irrelevant D. is irrelevant, but relevant V, VV? V
5. The three views of the two geometries are shown in the figure. If the volume of the geometry is 12, it is 2 1()22A. 3636 BC? x？ 3y？ 0
6. If a point is known, then S{(x, y)|? x=+3y？ 63? 0}P(3，3)，T{N|PM=+PN0，M=？ S}？ x？ The area of 0ST is () A.33B.6C.63D.9
7. As shown in the figure, the known regular pyramid P? All sides of ABCD are equal in length, and m is the moving point (excluding the end point) on ABCD and the midpoint. Let's record ABNAD dihedral angle p? MN？ c，P？ AB？ c，P？ MD？ C is? ,? ,? , then () a? B? c？ d？
8. For the function f(x)x2=+aln(x4+x2+ 1)(x? The extreme value and maximum value of r) must be () A. There are both maxima and maxima. B. there is no maximum, but there is a maximum. C. there are minimal and minimal. D there is no minimum value, but there is a minimum value of 22xyFE:+ 1(a=? b？ 0)
9. As shown in the figure, the point is the right focus of the ellipse 22, the point ab222My is the moving point on the circle O:x+yb (the right side of the axis), and the tangent of the circle passing through M intersects the ellipse at points A and B. If? If the circumference o of ABF is 3b, the eccentricity of ellipse is () E2253A. 3232Rf BC (? x)+f(x)x2x？ 0
10. The differentiable function f(x) defined on satisfies. At that time, f'(x)? X, then the inequality 132f(x+ 1)? f(2x)？ +x？ The solution set of x is () 22A.D.[2,+? ) Volume II (multiple choice questions * * 1 10)
2. Fill in the blanks (this big title is ***7 small questions, 6 points for multiple empty questions, 4 points for single empty questions, and 36 points for * * *. )
1 1. setting, then, U{x| 1=? x？ 9，x？ N}A{ 1，3，5，7}，B{5，6，7，8，9}AB(CA)(CB)。 UU？ 3? 2
12. If sin (),? =? (0,), what about the crime? ，sin2？ +cos？ .452
13. Hyperbolic E:4x2? Y2 1, asymptote equation is, and the area of the circle tangent to the asymptote with the focus as the center is.
14. given x2+x8a =+a (2+x)+a (2+x) 2++a (2+x) 8, then a, 01287a+a+a.01200.
15. There are four small balls with the same size, shape and uniform texture in each of the two bags, among which there are three red balls in bag A, three white balls in bag B, and two balls in bag A and bag B are exchanged at the same time. What is the mathematical cycle of the number of red balls in bag A after exchange? Look at e (? ).
16. Known |a|2, (a=+b)? The value range of B8 is. First, ba? bachelor of arts
17. Let the function f(x) 1=? x+4？ x，g(x)(a=？ R), if for any x? (0, 1), there is always f(x)? Xag(x) holds, what is the range of real numbers?
Please see the picture below for all questions: