2022~23年度考前模拟演练卷(三)文科综合答案

2022~23年度考前模拟演练卷(三)文科综合答案 ，目前我们已经整理了2022~23年度考前模拟演练卷(三)文科综合答案 的各科答案和试卷，更多试卷答案请关注本答案网。

11.解：(1)选①：由题意可知：A(-3,0),B√3,0)，C(V3,号)所以c=√3，3所以〈46=1a=2解得3=a2-bb=1所以椭圆M的标准方程为子十y=1.(6分)选②：由(x十√3)2+y2=16可得S(-√3,0)，半径r=4,由题意可得：|SC=|SD=4,所以∠SCD=∠SDC.因为SC∥MT,所以∠SCD=∠MTD,可得∠MTD=∠SDC,所以IMDI=|MTI,所以IMSI+IMTI=IMSI+IMD=ISDI=4>ST1=2√5，所以点M的轨迹是以2a=4,S(-√5,0)、T(√3,0)为焦点的椭圆，所以c=√3，b=a2-c2=4-3=1,所以椭圆M的标准方程为于+y2=1(y≠0).(6分)(2)设P(x1y),Q(x2y2),H(xoy0）,当直线'的斜率等于0时，的方程为：y=士1，此时直线与椭圆只有一个公共点，不符合题意；(8分)当直线1的斜率不等于0时，'的方程为：x=my十t,因为直线'与圆相切，所以=1，√m2+1即2=m2+1,x=my+t由,可得(m2+4)y2+2mty+t2-4=0,则△=4m2t2-4(m2+4)(t2-4)=16(m2-t2+4)=48>0,-2mty十2=m2+4%为=-4m2+4则为=”吉”=山=m%十=mX2十+1=4红m2+4(14分)m)即H(平(15分)所以1oH=(n年)》'+()广-+(m2+4)=(16+m2)(m2+1)(16分)(m2+4)2设x=m2十4，则x≥4，则10H?=+12)一3》=-36×(3)+9×是+1=-36(2-8)厂+器 <器，所以当x=8,即m=士2时，oh取得最大值号，(20分)< p>

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