2017 AP Calculus BC微積分真題系列之選擇題免費下載

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2017 AP Calculus BC Multiple Choice Free Download

2017 AP 微積分 BC 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1小時，共30題

Part B計時45分鐘，共15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： 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，請使用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微積分選擇題完整版答案免費下載

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