2015 AP Calculus BC微积分真题系列之选择题免费下载

历年AP Calculus BC微积分BC系列

真题与答案下载

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2015 AP Calculus BC Multiple Choice Practice Exam Free Download

2015 AP 微积分 BC 模拟卷选择题部分免费下载

此套Section I试卷共分两个部分组成

Part A计时55分钟，共28题

Part B计时50分钟，共17题

每道大题含有不同数量的小题

Part A需使用铅笔，无计算器

Part B可使用绘图计算器

完整版下载链接见文末

部分真题预览：

Section I，Part A，不可使用任何计算器： 4）The values of a continuous function f for selected values of x are given in the table above. What is the value of the left Riemann sum approximation to using the subintervals [0, 25 ], [25, 30], and [30, 50] ?

1. 290
2. 360
3. 380
4. 390
5. 430

7)If f(x) = x² -4 and g is a differentiable function of x, what is the derivative of f(g(x))?

1. 2g(x)
2. 2g'(x)
3. 2xg'(x)
4. 2g(x)g'(x)
5. 2g(x)-4

8)A particle moves in the xy-plane with position given by (x(t),y(t)) = (5-2t,t²-3) at time t. In which direction is the particle moving as it passes through the point (3,-2)?

1. Up and to the left
2. Down and to the left
3. Up and to the right
4. Down and to the right
5. Straight up

9)Let y =f(x) be the solution to the differential equation dy/dx=2y-x with initial condition f(1) =2. What is the approximation for f(0) obtained by using Euler's method with two steps of equal length starting at x=1?

1. -5/4
2. -1
3. 1/4
4. 1/2
5. 27/4

Section II，Part B，请使用Graphing Calculator： 77）The graphs of the differentiable functions f and g are shown above. If the function p is defined by p(x) = f(x)g(x), which of the following must be true about p', the derivative of p?

1. p'(-2)<0
2. p'(-2)=0
3. p'(-2)>0
4. p'(0)<0
5. p'(0)=0

78)The rate at which motor oil is leaking from an automobile is modeled by the function L defined by L(t) = 1+sin(t²) for time t≥0. L(t) is measured in liters per hour, and t is measured in hours. How much oil leaks out of the automobile during the first half hour?

1. 1.998liters
2. 1.247liters
3. 0.969liters
4. 0.541liters
5. 0.531liters