2014年11月IB数学SL真题下载-Paper2
1.Let f (x) = 2x + 3 and g(x) = x3 .
(a) Find ( f。g)(x).
(b) Solve the equation ( f。g)(x) = 0.
2.The following table shows the Diploma score x and university entrance mark y for seven IB Diploma students.
(a) Find the correlation coefficient.The relationship can be modelled by the regression line with equation y = ax + b .
(b) Write down the value of a and of b .Rita scored a total of 26 in her IB Diploma.
(c) Use your regression line to estimate Rita’s university entrance mark.
3.The following diagram shows a circle with centre O and radius 8 cm.
The points A, B and C are on the circumference of the circle, and AOˆB =1.2 radians .
(a) Find the length of arc ACB.
(b) Find AB.
(c) Hence, find the perimeter of the shaded segment ABC.
4.Let f (x) = −x4 + 2x3 −1, for 0 ≤ x ≤ 2 .
(a) Sketch the graph of f on the following grid.
(b) Solve f (x) = 0 .
(c) The region enclosed by the graph of f and the x-axis is rotated 360° about the x-axis.Find the volume of the solid formed.
5.The following diagram shows part of the graph of y = psin (qx) + r .
The point A(π/6, 2) is a maximum point and the point B(π/2,1) is a minimum point.Find the value of
(a) p ;
(b) r ;
(c) q .
2014年11月IB数学SL真题余下省略！
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