华大新高考联盟2023届高三11月教学质量测评(全国卷)文科数学试题答案

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参考范文:The athlete I admire mostSu Bingtian,the track and field athlete I admire most,was born in 1989 in Zhongshan.He is an experi-enced athlete who competes in the sprints.In 2021,Su Bingtian sprinted to secure a place in the 100 m men's final at the Olympic Games in Tokyo.He has become the first Chinese and only Asian runner to compete in the final round of the event since 1932.I admire him,because he overcame all the difficulties and became a legend with his amazing skills and perse-verance.His spirit will push me to work hard to achieve my goal.
22.解:(1)由x=1十2csa'(a为参数),得(x-1)2+(y-2)2=4,y=2+2sin a故曲线C的普通方程为(x一1)2+(y-2)2=4,即x2+y2一2x一4y+1=0.2分由pcos0-psin0十2=0,得x-y十2=0,即直线1的直角坐标方程为x一y十2=0.…4分x=-2+号x,(2)由题意可知直线的参数方程为(t为参数).分5y=将直线l的参数方程代入曲线C的普通方程并整理得t2一5√2t+9=0,7分设A,B对应的参数分别是t1,t2,则t1十t2=5√2,tt2=9.…8分故PA十PB=+2=+2l_52910分