2022英语周报总3495期答案

22.【命題意图】本题考查参数方程与普通方程,极坐标方程与直角坐标方程的互化,考查推理能力与计算能力=3 tan c【解析】(I)因为曲线C1的参数方程为y=-2(9为参数)CoSsIn=tanφ,g3CUX故则√2cosφ2COs 4两式相减可得,曲线C1的普通方程为·,,,··,,,·,,,··,,,,,,·,,,,,,,,,,,··,,,··,,··,,·,,,……(3分)因为曲线64()6故列(m0一m0,)=6故曲线C2的直角坐标方程为x-3y-6=0.(5分)(Ⅱ)注意到P(√6,0)在曲线C2x-y-6=0上,ULTURE=√6√3故可设曲线C2的参数方程为(t为参数),……(7分)代入-3=1中,得r2 82t 24=0.…(8分)设M,N对应的参数分别为t1,2,则t1 2=-82,t12=24…(9分)故t1,t2同号,t: 故PMIIPM(10分)

【参考范文】One day, Spotty returned from his daily walk with a broken leg. Appearing exhausted, he came to myroom and sat near me, the leg bleeding. I called my mother and she quickly tied a bandage around his leg andgave him food to eat. I was very upset. But the next day, Spotty followed me wherever I went happily asusual though he limped a bit. After this incident my relation with Spotty became more intense. I reallyadmired him a lot for his courageAlmost a year later, one midnight we heard Spotty barking breathlessly. We rushed out and saw himbarking continuously, heading somewhere. After some time Spotty became quiet. I patted him on his backand came inside. The next morning, my heart skipped a beat when I didn't see Spotty. I searched for him ineach and every corner but in vain. And this time he had gone and would never come back. I cried and waitedfor him. But there were no signs of him and I only say him looking at me with his sparking eyes in my dream

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