2015年5月IB数学SL真题下载-Paper1
1.A discrete random variable X has the following probability distribution.
(a) Find p .
(b) Find E (X) .
2.The following diagram shows a circle with centre O and a radius of 10 cm. Points A, B and C lie on the circle.
Angle AOB is 1.2 radians.
(a) Find the length of arc ACB.
(b) Find the perimeter of the shaded region.
3.(a) Given that 2m = 8 and 2n = 16 , write down the value of m and of n .
(b) Hence or otherwise solve 82x + 1 = 162x − 3 .
4.The following diagram shows the graph of a function f .
(a) Find f−1(−1) .
(b) Find ( f。f )(−1) .
(c) On the same diagram, sketch the graph of y = f (−x) .
5.Given that sin x = 3/4, where x is an obtuse angle, find the value of
(a) cos x ;
(b) cos 2x .
6.Let f(x) = px2 + (10 − p)x + 5/4p −5 .
(a) Show that the discriminant of f (x) is 100 − 4p2 .
(b) Find the values of p so that f (x) = 0 has two equal roots.
2015年5月IB数学SL真题余下省略！
你可能还关注