2017年11月IB数学SL真题下载-Paper2
1.The following diagram shows a triangle ABC.
(a) Find BC.
(b) Find the area of triangle ABC.
2.Let f(x)=6x2-4/ex, for 0 ≤ x ≤ 7 .
(a) Find the x-intercept of the graph of f .
(b) The graph of f has a maximum at the point A. Write down the coordinates of A.
(c) On the following grid, sketch the graph of f .
3.
4.A discrete random variable X has the following probability distribution.
(a) Find the value of k .
(b) Write down P (X = 2) .
(c) Find P (X = 2 | X > 0) .
5.Let f (x) = 6 - ln (x2 + 2) , for x ∈ R. The graph of f passes through the point ( p , 4) , where p > 0.
(a) Find the value of p .
(b) The following diagram shows part of the graph of f .
The region enclosed by the graph of f , the x-axis and the lines x = -p and x = p is rotated 360˚ about the x-axis. Find the volume of the solid formed.
2017年11月IB数学SL真题余下省略！
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