2016 AP Calculus BC微積分真題系列之簡答題免費下載

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 Free-Response Questions Free Download

2016 AP 微積分 BC 簡答題部分免費下載

此套Section II試卷共分兩個部分組成

Part A計時30分鐘，共2題

Part B計時1小時，共4題

每道大題含有不同數量的小題

Part A可使用繪圖計算器

Part B不可使用任何計算器

完整版下載鏈接見文末

部分真題預覽：

Section II，Part A，請使用Graphing Calculator： 1）The curve c in the xy-plane is given parametrically by (x(t),y(t)), where for 1 ≤t ≤ 6.

1. Find the slope of the line tangent to the curve C at the point where t=3
2. For 1≤t ≤ 6, what is the value of t at which the line tangent to the curve C is vertical?
3. Find the length of the curve C for 1≤t ≤ 6
4. Given y(1)=2,find y(3)

Section II，Part B，不可使用任何計算器： 3） The function f is defined on the interval -5≤ x ≤ c, where c?> 0 and f(c)=0. The graph of f, which consists of three line segments and a quarter of a circle with center(-3,0) and radius 2, is shown in the figure above.

1. Find the average rate of change of f over the interval [-5,0]. Show the computations that lead to your answer.
2. For -5≤ x ≤ c,let g be the function defined by .Find the x-coordinate of each point of inflection of the graph of g. Justify your answer.
3. Find the value of c for which the average of f over the interval -5≤x ≤c is 1/2.
4. Assume c?>3. The function h is defined by h(x)=f(x/2). Find h'(6) in terms of c.