2024泉州1月质检历史试卷及参考答案

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第四部分第二节Iwo davs before my birthday last vear. Dad came home earlv. As usual. Ihelped him carry his bags into his study: When I turned to leave. he said: "Hey. wouldyou like to help me clean my comb? It's been a while since I last cleaned"It hit methen why. as a child. helping my dad clean his comb was such a joy. That routinemeant that my dad was home early to spend the evening with Mum and I. It meantwould watch TV with us or play a few video games with me. It meant a happyloving familyI pass the clean comb back to Dad. I noticed the wrinkles next to his eyes.They are more noticeable when he smiles. but his smile is still as heartw arming asbefore. The smile of a father who just wants a good life for his family. Dad carefullyplaces his comb on top of his wallet. After so many years. he still organises hispersonal items in the same careful way. I guess some things never change. And forthat. I'm glad

20.【解析】(1)因为G,H关于x轴对称,所以G,H的纵坐标为±22,横坐标为1,……………2分代人y2=2px(p>0),可得y2=8x.4分(Ⅱ)设抛物线C:y2=8x的准线为l:x=直线y=k(x+2)(k>0)恒过定点P(-2,0),…6分如图过A,B分别作AM⊥l于M,BN⊥l于N,由FA|=2|FB|,则AM=2|BN|,………8分点B为AP的中点,连接OB,则OB|=AF|,∴点B的坐标为(1,士2/),k=±2区∴OB|=|BF|,点B的横坐标为1,±22223··k>0,∴k=310分所以直线l的方程为22x-3y+42=0,所以O到直线l的距离为所以弦长为2/34217…12分NP-20)F(20)C:y2=8

17.(本小题满分12分)(I)∵4a2+2ac+a2+b2-c2=0,cosB2abcosC4a2+2ac+:(2a+c)cosB+bosc=03分:(2sinA+sinC)cosB+sinBcosC=0k2sinacosB+sinCcosB+sinBcosC=0∴2sinacosB+sinA=0,………5分inA≠0,:2c08+1=0,.:c0sB=-1B0,可),B=36分(Ⅱ)由题意得,SBC=2actinB=ae-y=63,:a=24b2=a2+c2-2accosB=a2+2+a=(a+e)-ae=76,b=2y19…11分故△ABC的周长为10+2√19.…12分

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