2018年11月IB数学SL真题下载-Paper2
1.In a group of 35 students, some take art class ( A) and some take music class ( M ). 5 of these students do not take either class. This information is shown in the following Venn diagram.
(a)Write down the number of students in the group who take art class.
(b)One student from the group is chosen at random. Find the probability that
(i)the student does not take art class;
(ii)the student takes either art class or music class, but not both.
2.The following table shows the hand lengths and the heights of five athletes on a sports team.
The relationship between x and y can be modelled by the regression line with equation y = ax + b .
(a)(i)Find the value of a and of b .
(ii)Write down the correlation coefficient.
(b)Another athlete on this sports team has a hand length of 21.5 cm. Use the regression equation to estimate the height of this athlete.
3.Let f(x)=6x-1/2x+3,For x≠-3/2
(a)For the graph of f ,
(i)find the y-intercept;
(ii)find the equation of the vertical asymptote;
(iii)find the equation of the horizontal asymptote.
(b)Hence or otherwise, write down limx→∞（6x-1/2x+3
4.A particle moves along a straight line so that its velocity, vms-1 , after t seconds is given by v(t) = 1.4t - 2.7 , for 0 ≤ t ≤ 5 .
(a)Find when the particle is at rest.
(b)Find the acceleration of the particle when t = 2 .
(c)Find the total distance travelled by the particle.
5.The sum of an infinite geometric sequence is 33.25. The second term of the sequence is 7.98. Find the possible values of r .
2018年11月IB数学SL真题余下省略！
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