2018年5月IB数学SL真题下载-Paper1
1、Let f (x) = √x + 2 for x ≥ -2 and g (x) = 3x - 7 for x∈ R .
(a) Write down f (14) .
(b) Find ( g。f ) (14) .
(c) Find g-1(x) .
2.The following box-and-whisker plot shows the number of text messages sent by students in a school on a particular day.
(a) Find the value of the interquartile range.
(b) One student sent k text messages, where k > 11 . Given that k is an outlier, find the least value of k .
3.Consider a function f (x) , for -2 ≤ x ≤ 2 . The following diagram shows the graph of f .
(a) Write down the value of
(i) f (0) ;
(ii) f-1 (1) .
(b) Write down the range of f-1 .
(c) On the grid above, sketch the graph of f-1 .
4.Let f (x) = ax2 -4x - c . A horizontal line, L , intersects the graph of f at x = -1 and x = 3 .
(a) (i) The equation of the axis of symmetry is x = p . Find p .
(ii)Hence, show that a = 2 .
(b) The equation of L is y = 5 . Find the value of c .
5.Let f(x)=1/√2x-1, for x>1/2.
(a) Find ∫(f(x))2dx.
(b) Part of the graph of f is shown in the following diagram.
The shaded region R is enclosed by the graph of f , the x-axis, and the lines x = 1 and x = 9 . Find the volume of the solid formed when R is revolved 360°about the x-axis.
2018年5月IB数学SL真题余下省略！
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