2016年10月IB化学SL真题下载-Paper1
1.Let f (x) = x2 − 4x + 5 .
(a) Find the equation of the axis of symmetry of the graph of f .
The function can also be expressed in the form f (x) = (x − h)2 + k .
(b) (i) Write down the value of h .
(ii) Find the value of k .
2.Let sinθ=√5/3, where θ is acute.
(a) Find cos θ .
(b) Find cos 2θ .
3.The values in the fourth row of Pascal’s triangle are shown in the following table.
(a) Write down the values in the fifth row of Pascal’s triangle.
(b) Hence or otherwise, find the term in x3 in the expansion of (2x + 3)5 .
4.The position vectors of points P and Q are i + 2 j − k and 7i + 3 j − 4k respectively.
(a) Find a vector equation of the line that passes through P and Q. [4]
(b) The line through P and Q is perpendicular to the vector 2i + nk . Find the value of n .
5.Events A and B are independent with P (A ∩ B) = 0.2 and P (A′ ∩ B) = 0.6 .
(a) Find P (B) .
(b) Find P (A ∪ B) .
6.Let f'(x) = sin3(2x) cos (2x). Find f(x) , given that f(π/4)=1.
2016年10月IB化学SL真题余下省略！
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