2016 AP Calculus BC微積分真題系列之選擇題免費下載

歷年AP Calculus BC微積分BC系列

真題與答案下載

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2016 AP Calculus BC Multiple Choice Free Download

2016 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： 6）The slope of the line tangent to the graph of y=ln(1-x) at x = -1 is
(A)1-
(B)-1/2
(C)1/2
(D)ln2
(E) 1
7)Let y = f(x) be the solution to the differential equation dy/dx = f'(x) with initial condition f(x)=3. Selected values of f' are given in the table above. What is the approximation for f(2.4) if Euler’s method is used, starting at x=2 with two steps of equal size?

1. 2.80
2. 2.82
3. 2.84
4. 2.92
5. 3.16

11)The function f is continuous on the closed interval [0,6] and has values as shown in the table above. Using the intervals [0,2],[2,4] and [4,6], what is the approximation of obtained from a midpoint Riemann sum?

1. 0
2. 3
3. 4
4. 6
5. 8

14)The figure above shows the graph of a function f. Which of the following could be the second-degree Taylor polynomial for f about x=2?

1. 1. 2-x-x²
   2. 2+x-x²
   3. 2-(x-2)+(x-2)²
   4. 2+(x-2)-(x-2)²
   5. 2+(x-2)+(x-2)²

Section II，Part B，請使用Graphing Calculator： 76）A music group expects to sell a new compact disc (CD) at the rate R(t) = 20,000e^-0.12t CDs per week, where t denotes the number of weeks since the CD was first released. To the nearest thousand, how many CDs are expected to be sold during the first 12 weeks after the release?

1. 5,000
2. 11,000
3. 57,000
4. 127,000
5. 240,000

77)Let f be a function that is continuous on the closed interval[1,3] with f(1)=10 and f(3) =18. Which of the following statements must be true?

1. 10≤f (2)≤18
2. f is increasing on the interval [1,3]
3. f(x)=17has at least one solution in the interval [1,3]
4. f'(x)=8has at least one solution in the interval (1,3)
5.