2020年11月IB数学SL真题下载-Paper2
1.Consider the function f (x) = x2 + x + 50/x, x ≠ 0 .
(a) Find f (1) .
(b) Solve f (x) = 0 .
The graph of f has a local minimum at point A.
(c) Find the coordinates of A.
2.Lucy sells hot chocolate drinks at her snack bar and has noticed that she sells more hot chocolates on cooler days. On six different days, she records the maximum daily temperature, T , measured in degrees centigrade, and the number of hot chocolates sold, H .The results are shown in the following table.
The relationship between H and T can be modelled by the regression line with equation H = aT + b .
(a) (i) Find the value of a and of b .
(ii) Write down the correlation coefficient.
(b) Using the regression equation, estimate the number of hot chocolates that Lucy will sell
on a day when the maximum temperature is 12°C.
3.A discrete random variable X has the following probability distribution.
(a) Find an expression for q in terms of p .
(b) (i) Find the value of p which gives the largest value of E (X ) .
(ii) Hence, find the largest value of E (X ) .
4.Let f (x) = 4 - x3 and g (x) = ln x , for x > 0 .
(a) Find (f。g)(x) .
(b) (i) Solve the equation ( f。g)(x) = x .
(ii) Hence or otherwise, given that g (2a) = f -1(2a) , find the value of a .
5.Consider the expansion of（3x2-k/x)9, where k > 0 .
The coefficient of the term in x6 is 6048. Find the value of k .
2020年11月IB数学SL真题余下省略！
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