2012年05月IB数学SL真题下载-Paper2
1. The first three terms of an arithmetic sequence are 36, 40, 44,….
(a) (i) Write down the value of d .
(ii) Find u8 .
(b) (i) Show that Sn = 2n2 + 34n .
(ii) Hence, write down the value of S14 .
2. Let f (x) = 2x2 −8x − 9 .
(a) (i) Write down the coordinates of the vertex.
(ii) Hence or otherwise, express the function in the form f (x) = 2(x − h)2 + k .
(b) Solve the equation f (x) = 0 .
3.
(a) Find detM .
(b) Write down det N .
(c) Find the value of x for which detM = det N .
4.The graph of y = (x −1)sin x , for 0≤x≤5π/2,is shown below.
The graph has x-intercepts at 0, 1, π and k .
(a) Find k .
The shaded region is rotated 360°about the x-axis. Let V be the volume of the solid formed.
(b) Write down an expression for V .
(c) Find V .
5.
(a) Find the value of p and of q .
(b) Solve the system of linear equations.
px-y-2z=7
x+ y-2z=2
x+qy-z=−3
2012年05月IB数学SL真题余下省略！
你可能还关注