ap数学有真题吗?

　　当然可以啦!Ap数学有三门课，主要是微积分和统计学的课程内容。其中微积分分成了微积分AB和微积分BC两门课。下面我们分别介绍三门课程的数学考题，希望对你有用!

　　1.微积分AB题目

　　From 5 A.M. to 10 A.M., the rate at which vehicles arrive at a certain toll plaza is given by A(1)=450√sin(0.62t),wheret is the number of hours after 5A.M.and A(1)is measured in vehicles per hour.

　　Traffic is flowing smoothly at 5 A.M. with no vehicles waiting in line.

　　(a)Write, but do not evaluate, an integral expression that gives the total number of vehicles that arrive at the toll plaza from 6 A.M.(t=1)to 10 A.M.(t=5).

　　(b)Find the average value of the rate, in vehicles per hour,at which vehicles arrive at the toll plaza from 6 A.M.(t=1)to10 AM(t=5).

　　(c)Is the rate at which vehicles arrive at the toll plaza at 6A.M.(t=1)increasing or decreasing? Give a reason for your answer.

　　(d) A line forms whenever A(1)≥ 400.The number of vehicles in line at timet,for a ≤t≤ 4, is given by N(1)=(A(x)-400)dx,where a is the time when a line first begins to form. To the nearest whole number, find the greatest number of vehicles in line at the toll plaza in the time interval a ≤ 1 ≤ 4. Justify your answer.

　　答案可参考：

微积分AB.pdf

　　2.微积分BC考题

　　The density of a bacteria population in a circular petri dish at a distance r centimeters from the center of the dish is given by an increasing,differentiable functionfwhere f(r)is measured in milligrams per square centimeter. Values of f(r)for selected values of rare given in the table above.

　　(a) Use the data in the table to estimatef(2.25).Using correct units, interpret the meaning of your answer in the context of this problem.

　　(b)The total mass, in milligrams, ofbacteria in the petri dish is given by the integral expression 2πjrf(r)dr.Approximate the value of 2mrf(r)dr using a right Riemann sum with the four subintervals indicated by the data in the table.

　　(c) Is the approximation found in part (b)an overestimate or underestimate of the total mass of bacteria in the petri dish? Explain your reasoning.

　　(d)The density of bacteria in the petri dish,for 1≤r≤4, is modeled by the function g defined by

　　g(r)=2-16(cos(1.57r))3.For what value of k,1＜k＜4，is g(k) equal to the average value of g(r) on the interval 1 ≤r ≤ 4 ?

　　答案可参考：

微积分BC.pdf

　　3.统计学题目

　　答案可参考：

ap统计学.pdf】

　　以上就是全部分享了，如果同学想知道更完整的考试题目，欢迎你再次联系我们!