2017 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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2017 AP Calculus BC Multiple Choice Free Download

2017 AP 微积分 BC 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1小时，共30题

Part B计时45分钟，共15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： 20）A particle moves in the xy-plane so that its position for t≥0 is given by the parametric equations x=In(t+1) and y= kt² , where k is positive constant. The line tangent to the particle's path at the point where t = 3 has slope 8. What is the value of k?

1. 1/192
2. 1/3
3. 4/3
4. 16/3

21)The table above gives the level of a person's cholesterol at different times during a 10-week treatment period. What is the average level over this 10-week period obtained by using a trapezoidal approximation with the subintervals[0,2],[2,6] and [6,10]?

1. 188
2. 193
3. 195
4. 198

27)The number of students in a cafeteria is modeled by the function P that satisfies the logistic differential equation dP/dt=(1/2000)P(200-P), where t is the time in seconds and P(0) = 25. What is the greatest rate of change, in students per second, of the number of students in the cafeteria?

1. 5
2. 25
3. 100
4. 200

28) A cube with edges of length x centimeters has volume V(x) = x³ cubic centimeters. The volume is increasing at a constant rate of 40 cubic centimeters per minute. At the instant when x = 2, what is the rate of change of x, in centimeters per minutes, with respect to time?

1. 10/3
2. √(40/3)
3. 5
4. 10

Section II，Part B，请使用Graphing Calculator： 76） Let f be a twice-differentiable function for all real numbers x. Which of the following additional properties guarantees that f has a relative minimum at x = c?

1. f'(c)=0
2. f'(c) = 0 and f"(c)<0
3. f'(c) = 0 and f"(c)>0
4. f'(x)>0 for x<c and f'(x)<for x>c

80)The position of an object moving along a path in the xy-plane is given by the parametric equations x(t)=5sin(πt) and y(t)=(2t-1)². The speed of the particle at time t = 0 is

1. 3.422
2. 11.708
3. 15.580
4. 16.209

2017 AP Calculus BC MC微积分选择题完整版答案免费下载

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