2014年11月IB数学SL真题下载-Paper1
1.Let f (x) = x2 + x − 6 .
(a) Write down the y-intercept of the graph of f .
(b) Solve f (x) = 0.
On the following grid, sketch the graph of f , for −4 ≤ x ≤ 3 .
2.In an arithmetic sequence, the first term is 2 and the second term is 5.
(a) Find the common difference.
(b) Find the eighth term.
(c) Find the sum of the first eight terms of the sequence.
3.The following diagram shows a board which is divided into three regions A, B and C.
A game consists of a contestant throwing one dart at the board. The probability of hitting each region is given in the following table.
(a) Find the probability that the dart does not hit the board.
The contestant scores points as shown in the following table.
(b) Given that the game is fair, find the value of q .
4.(a) Write the expression 3ln2 − ln4 in the form ln k , where k ∈ Z.
(b) Hence or otherwise, solve 3ln2 − ln4 = −ln x .
5.Let f(x)=p+9/x-q, for x ≠ q . The line x = 3 is a vertical asymptote to the graph of f .
(a) Write down the value of q .
The graph of f has a y-intercept at (0, 4) .
(b) Find the value of p .
(c) Write down the equation of the horizontal asymptote of the graph of f .
2014年11月IB数学SL真题余下省略！
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