2018-2022 英语周报 高考 课标 42答案

Li Hu第二节(满分25分)Green realized it was an emergency. Mary might faint at any time. If she couldnt receivetimely help, she would suffer severe brain damage, or even die, which would definitely scare hertwo grandchildren. Concerned that she was in such a critical situation where every minute countedfor her life, he immediately called the hospital to find her an ambulance. After being informed ofwhat was going on, two teachers dropped everything without delay, climbed into Greens car andset off. (75 words)When Green and the other two teachers reached the family's home less than ten minutes later,seeing what was happening, they sighed in relief. Everything was well in order. The doctors weregiving first aid to Mary, pressing on her chest. The two kids looked visibly shaken, close to tearsBeside them stood Julia, holding them in her arms and comforting them. Fortunately enough, thequick response from Julia and Green saved Marys life. When she came to herself, she was lifted tothe ambulance and rushed to the hospital. Everybodys face brightened up as the ambulance fadedaway. (75 words

22.[命题立意]考查极坐标方程与直角坐标方程的互化,参数方程与普通方程的互化,坐标变换,点到直线的距离公式,三角函数的性质的综合应用;考查逻辑推理,数学运算的核心素养[试题解析](1)由p=4cosa,可得p2=4osa将p2=x2+y2, pcos a=x,代入上式,整理得曲线C1的普通方程为(x-2)2+y2=4,设曲线C1上的点为(x,y),变换后的点为(x,y),由题意可知坐标变换为(x=x+2将其2代入曲线C1的普通方程,整理得曲线C2的普通方程为+y2=1所以曲线C2的参数方程为cOS(为参数)(5分)(2)将直线l的参数方程(t为参数),消去t+2参数t,可得直线l的直角坐标方程为x-√3y+2√3=0设曲线C2上的点为P(2cosb,sin0),0≤6<2x,参数t,可得直线l的直角坐标方程为x-√3y+2√3=0,设曲线C2上的点为P(2cosb,sin0),0≤6<2r,则点P到直线l的距离为d=⊥2cos-√3sin0+2√3Vicos(0+g)+2√31其中C0s9、√sIn (-√7-√7+2312√3-当+g=丌时,dm=此时2cs0=2cs(x-)=-4=-4y2,sin=sin(r-p)√7即此时点P的直角坐标为(所以曲线C2上到直线l的距离最短的点的直角坐标为(-47,√2(10分)问题

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