2012 AP Calculus BC微積分真題系列之選擇題免費下載

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2012 AP Calculus BC Multiple Choice Practice Exam Free Download

2012 AP 微積分 BC 模擬卷選擇題部分免費下載

此套Section I試卷共分兩個部分組成

Part A計時55分鐘，共28題

Part B計時50分鐘，共17題

每道大題含有不同數量的小題

Part A需使用鉛筆，無計算器

Part B可使用繪圖計算器

完整版下載鏈接見文末

部分真題預覽：

Section I，Part A，不可使用任何計算器：

2）The position of a particle moving in the xy-plane is given by the parametric euqations x(t) = t³ - 3t² and y(t) = 12t -3t². At which of the following points (x,y) is the particle at rest?

1. (-4,12)
2. (-3,6)
3. (-2,9)
4. (0,0)
5. (3,4)

8)A tank contains 50 liters of oil at time t =4 hours. Oil is being pumped into the tank at a rate R(t), where R(t) is measured in liters per hour, and t is measured in hours. Selected values of R(t) are given in the table above. Using a right Riemann sum with three subintervals and data from the table, whatis the approximation of the number of liters of oil that are in the tank at time t =15 hours?

1. 64.9
2. 68.2
3. 114.9
4. 116.6
5. 118.2

12)The point (-1,-1) and (1,5) are on the graph of a function y = f(x) that satisfies the differential equation dy/dx=x²+y.Which of the following must be true?

1. (1,-5) is a local maximum of f
2. (1,-5) is a point of inflection of the graph of f
3. (-1,-1) is a local maximum of f
4. (-1,-1) is a local minimum of f
5. (-1,-1) is a point of inflection of the graph of f

16)Let y=f(x) be the solution to the differential equation dy/dx = x-y with initial condition f(1)=3. What is the approximation for f(2) obtained by using Euler's method with two steps of equal length starting at x=1?

1. -5/4
2. 1
3. 7/4
4. 2
5. 21/4

Section II，Part B，請使用Graphing Calculator：

76）The function f, whose graph is shown above, is defined on the interval -2≤x≤2. Which of the following statements about f? is false?

1. 1. f?is continuous at x=0.
   2. f?is differentiable at x=0.
   3. f?has a critical point at x=0.
   4. f?has an absolute minimum at x=0.
   5. The concavity of the graph of f changes at x=0.

80)The graph of f ', the derivative of the function f, is shown above. Which of the following statements must be true?

1. f has a relative minimum at x = -3.
2. The graph of f has a point of inflection at x = -2.
3. The graph of f is concave down for 0 < x < 4.

1. I only
2. II only
3. III only
4. I and II only
5. I and III only

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