Volume 1 (60 multiple-choice questions) 1. Multiple-choice questions: (This big question * * 12 small questions, 5 points for each small question, ***60 points. Only one of the four options given in each small question meets the requirements of the question) 1. If the complex number is purely imaginary, then the value of the real number m is () A. 1 B.2 C.-2 D.- 1 2. The following statements about propositions are incorrect: () A. If P and Q are false propositions, then both P and Q are false propositions. B. If ┐p is a necessary condition of Q, then P is a sufficient condition of ┐ Q.C. D. The negation of proposition 0 is a sufficient and necessary condition that D.2 is 3. A(CUB)= () A. B. C. D。 In the frequency distribution histogram of the sample, one * * * has a small rectangle, and the area of the third small rectangle is equal to the area of other m- 1 small rectangles. Then the frequency of the third group is () a.10b.25c.20d.405. () The area enclosed by the sine curve y=sinx and the X axis in a.b.c.6 is marked as D. If a point A is randomly thrown into the circle O, then the probability that the point A falls in the area D is () a.b.c. It is called sequence 5, 9, 14, 20, which is the difference between item 20 12 and item 5 in this sequence. The difference is A20 1 2-5 = () A.B.C.D.9. Let a, b, c, d and e be five different. Documents C and D must also be placed in adjacent drawers, so all the different placement methods are () A.192 b.144 c.288d.24010. On the right is the flow chart of dichotomy solution equation. ① to ④ The contents to be filled in are () A.F. (A. No, B.F. (b) F (m) is; No C.f (b) f (m) is; No D.f (b) f (m) no; Yes 1 1. The side length of the bottom surface of the regular pyramid S-AB∑CD is 2 and the height is 1. E is the midpoint of the side BC, and the moving point P moves on the quadrangular pyramid surface and keeps it all the time, so the trajectory perimeter of the moving point P is () A. B. C. D. 12. , and it is in the middle of the square pyramid. B is the focus, the eccentricity of hyperbola crossing point D is e 1, C, D, D are the focus, and the eccentricity of ellipse crossing point A is e2, then () A. With the increase of Z angle, e 1 E2 increases, and e 1 e2 is a constant value B. With the increase of Z angle, E/kloc E 1 e2 also increases D. With the increase of Z angle, E 1 decreases, and e 1 e2 also decreases. Note: 1. The second volume ***6 pages, with black pen answer 19. 2. Fill in the items in the sealed line clearly before answering the questions, and the answers in the sealed line are invalid. Two. Fill-in-the-blank question: (This big question is ***4 small questions, each with 4 points, * * 16 points. Fill in the answer on the line in the question) 13. In arithmetic progression {an}, a4+ a 10+ a 16=30. Then the value of a 18-2a 14 is. 14. In the expansion of binomial (1+sinx)n, the sum of the coefficients of the last two terms is 7, and the value of the term with the largest coefficient is, then X is, and the function has the maximum value in the interval (a, 3). Curve C 1 is a part of an ellipse with the origin o as the center and F 1 and F2 as the focus. Curve C2 is a part of a parabola with the origin o as the vertex and F2 as the focus, and it is the intersection of curve C 1 and C2. (i) Find out the equations of ellipse and parabola where curves C 1 and C2 are located; (ii) Make a straight line that is not perpendicular to the X axis when intersecting F2, and intersect curves C 1 and C2 at four points B, C, D and E respectively. If g is the midpoint of CD and h is the midpoint of BE, ask whether it is a fixed value, and if so, find a fixed value; If not, please explain why. Reference answer to math problems in science 1. Multiple choice questions: AABCB BADDBB 2. Fill in the blanks: 13. - 10 14. 15.； 16. 123 17. Solution: (1) 2 points, 5 points, 6 points (2) Knowing from (1): 8 points, 10 points, 12 points,/kl. Solution: (1) (2 Z axis establishes a spatial rectangular coordinate system. If the score is 10, the score can be 12 and the score is 19. Solution: (1) Note Event A: A family score (5,3). So the probability that a family scores (5,3) is 0.2. (2) Pay attention to event B: The family is playing games. 5)***3. So the probability of a family winning the prize is 0.4. (iii) According to (ii), the winning probability of each family is 5, so the distribution list of X is: X 0 1 2 3 4 12 20. (I) Let the tolerance of arithmetic progression {bn} be d, then D = 10 when the proposition is proved to be 4, that is, when n=k+ 1, the proposition holds, 12, 2 1 min. (1) 1 min.