22解:(1)因为直线的极坐标方程为P即 pcos8- psin e=cos(0 -)所以直线l的直角坐标方程为y=3x-2,(2分)曲线C的参数方程化为3=205(g为参数),平方相加得曲线1=sinsC的普通方程为(x-3)2 (y-1)2=4,所以曲线C的极坐标方程为p-23pos0-2psin0=0即p=4in(0 )(5分)(Ⅱ)由(1)知曲线C的极坐标方程为p=4sin(0 5),不妨设A(p2,a),B(p2,a 2),0)DOAIJOB sinTPP:sin (at 3)sin (at2)=2sin acos a 2 3 cos'asin 2a /3 cos 2a 3=2sin (2a 2) /3(8分)当时,Sw≤2 3所以△AOB面积的最大值为2 3.(10分)
书面表达One possible version:NOTICEA sports meeting will be held in the playground of our school from next Thursday to FridayAs you know, the pressure of study is very heavy now, especially for those senior 3. So the purpose of the sports meeting is to letevery student get relaxed, as a result of which we students can live happily and heal thilyEveryone is welcome to take part in it. Those who perform excellently at the sports meeting will get prizes. But don' t take theresults so serously because taking part is more important than the result. Good luck to everyone!
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