高二月考数学pdf

2018 年秋季第二次月考 高二国际 SAT2 数学试卷 高二国际 SAT2 数学试卷 Page 1 of 3 Section One: Multiple Choice 1. 13 24+ 115 612=K 32 . Find the value of K+J+M. A) 2 B) 4 C) 6 D) 7 E) 8 2. Evaluate x and y if 2 3 = 2 21 3 2 3 5 A) x= 0; y= 2 B) x= 1; y= 2 C) x= 1, 1; y= 5 3 D) x= 1 2, 1 2; y= 5 6 E) x=0, 1 2; y=2 3. Solve for x: 1 23 213 = 518 605 A) 4 111 812 B) 4 111 812 C) 5 224 12015 D) 5224 12015 E) 635 418 4. Use A = -2 -1 5 9 and B = 05 32 4 6 0 1 to find the product of AB= A) 010 32 20 54 0 9 B) 37 27 C) 10 2 20 45 D) 0 6 0 54 E) Product is not defined 5. The first row, second column of the product 1 23 5 21 is A) -5x-3 B) -x-3 C) 1-x2 D) 4x E) 2x+2 6. If A= 316 250 134 , B= 47 42 15 , and AX=B, then the size of X is A) 3 rows, 3 columns B) 3 rows, 2 columns C) 2 rows, 2 columns D) 2 rows, 3 columns E) cannot be determined 7. The chart below shows the number of small and large packages of a certain brand of cereal that were bought over a three-day period. The price of a small box of this brand is $2.99, and the price of a large box is $3.99. Which of the following matrix expressions represents the income, in dollars, received from the sale of cereal each of the three days? Day 1 Day 2 Day 3 Large 75 82 57 Small 43 36 50 A) 75 8257 4336502.99 3.99 B) 7543 8236 5750 3.99 2.99 C) 75 8257 433650 3.99 2.99 D) 3.99 2.99 7543 8236 5750 E) 2.9975 8257 433650 +3.9975 8257 433650 8. The determinant of 3 21 is A) p-6 B) p+6 C) 3p-2 D) 3-2p E) -6-p 9. Find all values of x for which | 214 305 416 | = | 4 5| A) 3.78 B) 4.47 C) 5.12 D) 6.19 E) 6.97 10. If X7 2 05 = 23 54 , then X= A) 2 7 3 2 0 5 4 B) 7 2 2 3 0 4 5 C) 2 7 17 35 5 7 38 351 D) 14 6 020 E) undefined 11. Find the matrix equation that represents the system 2 3 = 3 5 = 14 A) 2 3 15 = 3 14 B) 23 51 = 3 14 C) 23 51 = 3 14 D) 3 13 = 2 3 51 E) This system cannot be represented as a matrix equation. 12. Find if 32 14 = 5 4 . A) 2 0.5 B) 5/6 1 C) 1 3/4 D) 2 1/2 E) 54/5 13. What is the standard form of the expression (4 + 3i) + (1 6i)? A) 0 B) 3 + 3i C) 3 3i D) 5 + 9i E) 14 27i 2018 年秋季第二次月考 高二国际 SAT2 数学试卷 高二国际 SAT2 数学试卷 Page 2 of 3 14. What complex number is plotted in the complex plane? A) 2 3i B) 2 3i C) 2 + 3i D) 3 + 2i E) 3 2i 15. What are the solutions of 3x2 4 = 0? A) 6 3 B) 2 3 3 C) 2 3 3 D) 23 3 i E) 2 3 3i 16. The variable y varies inversely with the cube of x. Which equation relates x and y? A) y = ax3 B) x = ay3 C) y = 3 a x D) x = 3 E) y = 3 17. The variable w varies jointly with m and n and inversely with t. Which equation relates w, m, n, and t ? A) w = amnt B) w = 1 amnt C) w = D) w = E) t = 18. What are the asymptotes of the graph of y = 4 2x + 5? A) x = 2, y = 5 B) x = 2, y = 5 C) x = 2, y = 5 D) x = 4, y = 5 E) x = 5, y = 2 19. The graph of what function is shown? A) y = 1.54 3 x x B) y = 34 26 x x C) y = 34 26 x x D) y = 64 23 x x E) y = 64 23 x x 20. What is (are) the asymptote(s) of the function y = 2 5 3x ? A) x = 0 B) y = 0 C) x = 3 D) x = 0, y = 3 E) y = 0, x = 3 21. The graph of which function is shown? A) y = 2 2 31 4 x x B) y = 2 2 34 4 x x C) y = 2 3 2 x x D) y = 2 2 31 4 x x E) y = 2 2 4 34 x x 22. What is a simplified form of 542 37 16 22 x yxy yx y ? A) 4x2y B) 3 3 4 4x y C) 3 2 4x y D) 8x7y8 E) 8x5y3 + 25 1 2x y 23. What is a simplified form of 3 1 8 x x (x2 + 2x + 4)? A) 1 2 x x B) 22 1 (2)(24) x xxx C) 2 1 x x D) 2 3 35 8 xx x E) 2 32 35 24 xx xxx 24. Which expression is equivalent to 4 + 3 2+ 3 2 9 A) 1 4 x x B) 2 1 (3) x x C) 2 2 4 (3) (3)(3) x x xx D) (1)(3) (3)(4) xx xx E) 2 2 3(41) (3)(3) xx xx 25. What expression is equivalent to 2 1 15 1 x xx ? A) 3 x B) 21 3(1) x x C) 2 + 2 5(1) x x D) 2 65 x x E) 2 2(65) 2(1) x x 26. What is the solution of 43 213xx ? A) 15 2 B) 4 C) 13 5 D) 2 15 E) 15 2 27. What is (are) the solution(s) of (4)4 2 x xx ? A) 2 B) 2, 4 C) 4 D) 2 E) 2, 4 28. Which is an odd function? A) y = 2 4 x B) y = 4 x C) y= x3 + 4 D) y = 4x2 E) y = 4 29. What are the asymptotes of the function y = 2 2 431 1 xx x ? A) x = 0, y = 0 B) x = 1, y = 1 4 C) x = 0, x = 1, y = 4 D) x = 1, x = 1, y = 4 2018 年秋季第二次月考 高二国际 SAT2 数学试卷 高二国际 SAT2 数学试卷 Page 3 of 3 30. Which function represents the graph shown? A) y = 2 7 9x B) y = 2 3 9 7 x x C) y = 2 7 9 x x D) y = 2 9 7 x x 31. Which is the equation of a hyperbola with vertices at (0, 6) and (0, 6) and foci at (0, 8) and (0, 8)? A) 22 1 6436 xy B) 22 1 6436 yx C) 22 1 3628 xy D) 22 1 3628 yx 32. What are the asymptotes of the hyperbola y2 16x2 256 = 0? A) y = 1 16 x B) y = 1 4 x C) y = 4x D) y = 16x 33. What is the equation of the parabola with vertex at (1, 5) and directrix y = 8? A) x 1 = 12(y + 5)2 B) x + 1 = 12(y 5)2 C) (x 1)2 = 12(y + 5) D) (x + 1)2 = 12(y 5) 34. The equation 4x2 9y2 18x + 3y 12 = 0 represents which conic section? A) Circle B) Ellipse C) Hyperbola D) Parabola 35. Which ordered pair is a solution of the system of equations shown? 2x2 12x + y2 54 = 0 and y 3x = 5 A) (0, 5) B) (0, 54) C) (1, 8) D) (1, 8) Section Two: Gridded Answer 36. The variable x varies jointly with y and z, and x = 8 when y = 6 and z = 3. What is the constant of variation? 37. What is the simplest form of 22 82158 421 xx