# 新东方罗勇-2012-AP微积分BC模考试卷

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## Trigonometric Functions

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- 1 - 2012 AP Calculus BC 模拟试卷   北京新东方   罗勇   luoyong2@xdf.cn 2012-3-1 说明：请严格按照实际考试时间进行模拟，考试时间共 195 分钟。  Multiple-Choice section 总计 45 题 /105 分钟  A 部分：无计算器  28 题， 55 分钟  B 部分：有计算器  17 题， 50 分钟   每个选择题答对得 1 分，不答得 0 分，答错不扣分，卷面得分乘以系数 1.2 为最后得分。如果所有题都对，则得 54 分，占总分的 50% 。  Free-response section 总计 6 题 /90 分钟  A 部分：有计算器  2 题， 30 分钟  B 部分：无计算器  4 题， 60 分钟   每题 9 分，共 54 分，占总分的 50% 。   (2012 年 5 月 9 日校正版 )   - 2 - SECTION Multiple- Choice Questions  XDF@LuoYong AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA GO ON TO THE NEXT PAGE - 3 - Calculus BC SECTION , PART A Time   55minutes Number of questions   28 A calculator may not be used on this part of the exam. Directions:  Solve each of the following problems, using the available space for scratch work. After examining the form of the choices, decide which is the best of the choices given and place the letter of your choice in the corresponding box on the student answer sheet. Do not spend too much time on any one problem. In this exam: (1)   Unless otherwise specified, the domain of a function  f    is assumed to be the set of all real numbers for which ()  f x  is a real number. (2)   The inverse of a trigonometric function  f    may be indicated using the inverse notation 1  f     or with the prefix “arc” (e.g., 1 sinarcsin  x x   ).  XDF@LuoYong AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA GO ON TO THE NEXT PAGE - 4 - 1. Given 2(2) 344  x  y e xy     , then dydx    (A) (2) 46  x e y x     (B) (2) 86  x e x    (C) (2) 86  x e x    (D) (2) 86  x e y x    (E) (2) 86  x e y x     ________________________________________________________________________ 2. 20122012 cos() d xdx   (A) cos  (B) cos   (C) sin  (D) sin   (E) 2 sec  ________________________________________________________________________ 3. 0 cot5lim(1)csc3  x  x     (A) 53 (B) 23   (C) 85 (D) 1  (E) 0  ________________________________________________________________________ 4. What are all the values of for which the series 1 nn  xn   converges? (A) 11     (B) 11     (C) 11     (D) 11     (E) All real  x
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