2022英语周报25试题答案

17.解:(1)以D为原点,DA,DC,DD所在直线分别为x轴、y轴、z轴,建立空间直角坐标系,则D(0,0.0),A(2,0,0),B(2,4,0),C(O,4,0),D2(0,0,2),A(2,0,2)B(2.4,2),C1(0,4,2),E(2,0),F(2,3,0)平面AED的法向量为n1=(x,y,z),DA=(2,0,2),DE=(2,0)n·D4=0∫2x+2z=0令x=1,则n1=(1,-2,-1),AC=(-2,4-2)n1●DE=0(2x+y=02AC与平面AED所成角为6,sinb=cos(,4C)=分(2)平面AFD的法向量为n2=(x,y,2),DA=(2,0,2),DF=(2,30),n2·DA4=0n2·DF=0’12x+3y=0令x=3,则n2=(3,-2,-3)面角E-AD-F的平面角为q,cosg=os(n,n2nln分(3)设P(m1n2),满足(m-23+(m-2)2=1,F=(m-2,n-32)4,2),AC2m+4+4n-12+4=0即m=2n-2代入(n-2))2=,P到AB的距离为m-215分

One possible version:Dear Janehere will he a Huangmei Opera vs, Qiong Opera concert in our sehool. Knowing that you are interested in Chineselocal operas, I' d like to invite you to attend itThe concert is to be held in the lecture hall of our school at 7: 00 pm this Sunday. Some teachers and students willperform Huangmei opera and Qiong opera. Im sure they will give you a very impressive concert, through which you willearn more about our local operas.Looking forward to your coming.Yours sLi He

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