2022-2022高三英语周报22答案

【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

18.(本小题满分12分)(1)证明:连接BE,因为AB∥CD,AD⊥DC,CD=4,E为CD的中点,AB=AD=2,所以四边形ABED是边长为2的正方形,且BE=EC取AE的中点M,连接PM,BM,…………………(4分因为AP=PE=2,所以PM⊥AE,BM⊥AE且AE=22,PM=AM=BM=√2又PB=2,所以PM2+MB2=PB2,所以PM⊥MB.又AE∩MB=M,所以PM⊥平面ABCE又PMc平面PAE,所以平面PAE⊥平面ABCE…16分)(2)解:法1:由(1)知,PM⊥平面ABCE,△PBE为正三角形且边长为2设点A到平面PBE的距离为d,则V-M=3S△ Mac xPM=÷×S△exd,……………………(8分)所以上×上 X BE x ABx PM=x2xBE2xd,即212×2×5=1x5,2xd,解得d=26,3.4故点A到平面PBE的距离为26.…………(12分)3法2:以M为原点,MA,MB,MP所在直线分别为x,y,z轴建立空间直角坐标系,则A(√E,00),B(0√2,0,E(-E00),PO,0√2所以=(0,√-√,E=(0-Vy√2=0设平面PBE的法向量为n=(x,yz),则n,PE=-√2x-√2z=0所以可取n=(-l,1),又=(-0,√2所以点A到平面PBE的距离d=√2263…(12分)

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