2016年5月IB数学SL真题下载-Paper1
1.Let f (x) = 8x + 3 and g (x) = 4x , for x∈R .
(a) Write down g (2) .
(b) Find ( f°g) (x) .
(c) Find f−1 (x) .
2.The following Venn diagram shows the events A and B , where P (A) = 0.4 , P (A ∪ B) = 0.8 and P (A ∩ B) = 0.1 . The values p and q are probabilities.
(a) (i) Write down the value of q .
(ii) Find the value of p .
(b) Find P (B) .
3.Let f(x)=3sin(π/2x), for 0 ≤ x ≤ 4 .
(a) (i) Write down the amplitude of f .
(ii) Find the period of f .
(b) On the following grid sketch the graph of f .
4.Consider the following sequence of figures.
Figure 1 contains 5 line segments.
(a) Given that Figure n contains 801 line segments, show that n = 200 .
(b) Find the total number of line segments in the first 200 figures.
5.Consider f(x) = x2 + qx + r. The graph of f has a minimum value when x = −1.5.The distance between the two zeros of f is 9.
(a) Show that the two zeros are 3 and −6.
(b) Find the value of q and of r .
2016年5月IB数学SL真题余下省略！
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