21.(1)由题意知=5=2,又a2-b2=d2,∴a2=2b2易知原京O为圆心,箱圆C的短半轴长为半色的圆的方程为x2+y=b2圈x2+y=82与直线x-y+2=0相如,=√2,故椭圆C的标准方程为2+2=1.(4分)(2)根据题意设直线OQ:x=my,则直线MN:x=my+√2x=my+2+2=1得(m2+2)y+2.my-2=0设M(x1,y),N(x;y),2√2则y1十yy|MN=√1+m2y-y4(m2+1)√1+m√(y+y)2=4yyMN∥0Q,…5△=S2M,∵S=S1+S1=5△易知△MNO中MN上的高即点O到直线MN的距离2=2MN=22+a+2令c=√1+m,则m2=2-1(c1)5≈2y22√2又+1≥,当且仅当=1,即t=1时等号成立,此时m0,∴S=2.(12分)
第二节One possible versionDear mr. smithIm writing to ask for a three-day leave, for I can'Iattend your English classes from Monday to Wednesday nexOwing to a severe headache, I have made an appoint-ment with a specialist. and my mother will take me to seehim. It's a great pity that I will miss your interesting lessons but I hope you will excuse my absence. I promise tomake up for the missed lessons after I return to school.Your kind permission will be greatly appreciatedYeLi Hua
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