2014年5月IB数学SL真题下载-Paper2
1.The following diagram shows triangle ABC.
(a) Find AC.
(b) Find BCˆA .
2.Consider the expansion of (x+3)10 .
(a) Write down the number of terms in this expansion.
(b) Find the term containing x3 .
3.The following table shows the average weights ( y kg) for given heights (x cm) in a population of men.
(a) The relationship between the variables is modelled by the regression equation y=ax+b .
(i) Write down the value of a and of b .
(ii) Hence, estimate the weight of a man whose height is 172 cm.
(b) (i) Write down the correlation coeffi cient.
(ii) State which two of the following describe the correlation between the variables.
4.The following diagram shows two perpendicular vectors u and v .
(a) Let w=u-v . Represent w on the diagram above.
5.The population of deer in an enclosed game reserve is modelled by the function
P(t)=210sin (0.5t-2.6)+990 , where t is in months, and t=1 corresponds to 1 January 2014.
(a) Find the number of deer in the reserve on 1 May 2014.
(b) (i) Find the rate of change of the deer population on 1 May 2014.
(ii) Interpret the answer to part (i) with reference to the deer population size on 1 May 2014.
2014年5月IB数学SL真题余下省略！
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