x2-8x-3y 32=0若2x 3y 1 求x 2 y 21

问题分类:初中英语初中化学初中语文
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1.化简求值:(3x+2y)(4x-5y)-11(x+y)(x-y)+5xy,其中x=3,y=-22.化简求值:[xy(1-x)-2x(y-)]?2x2y+2x3y2(x+1),其中x=-1,y=3.3.已知x2-8x-3=0,求(x-1)(x-3)(x-5)(x-7)的值4.如图,CD=AB,∠BDA=∠BAD,AE是△ABD的中线.求证:AC=2AE5.△ABC中,∠A=90°,D为AC中点.(1)AF⊥BD交BC于F交AB于E.求证:∠ADB=∠FDC&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(2)若∠ADB=∠FDC,求证:AF⊥BD6.已知:AC=BC,AC⊥BC,AE为中线,CN⊥AE交AE于M,交AB于N,求证:CN+EN=AE
悬赏雨点:23 学科:【】
4证明:延长CN至F,使CF=AE,连接BF,∵∠CAB=∠CBA=45°,∴∠ACB=90°,∵CN⊥AE,∴∠COE=90°,∴∠CEA+∠1=90°,∠CEA+∠2=90°,∴∠1=∠2,在△CAE和△BCF中∴△CAE≌△BAF,∴∠ACE=∠CBF=90°,CE=BF,∵∠CBA=45°,∴∠FBN=45°=∠EBN,∵E为BC中点,∴CE=BE=BF,在△EBN和△FBN中∴△EBN≌△FBN(SAS),∴NE=NF,∴AE=CN+EN.
&&获得:23雨点
(x-1)(x-3)(x-5)(x-7)
1、原式=(12x2-7xy-10y2)-11(x2-y2)+5xy=x2-2xy+y2=(x-y)2=2=(512)2=(112)2=1214;2y[(xy-x2y-2xy+x)+(x2y+xy)]&&&&=2x2y?x&&&&=2x3y&&&&=2×13×3&&&&=6(3)∵x2-8x-3=0,∴x2-8x=3(x-1)(x-3)(x-5)(x-7)=[(x-1)(x-7)[(x-3)(x-5)]=(x2-8x+7)(x2-8x+15),把x2-8x=3代入得:原式=(3+7)(3+15)=180.
1.:(3x+2y)(4x-5y)-11(x+y)(x-y)+5xy&&& =12x2-7xy-10y2-11x2+11y2+5xy&&& =x2-2xy+y2&& =(x-y)2当x=3,y=-2时,原式=(3+2)2=362原式& =2x3y2-2x4y2-4x3y2+2x2y+2x4y2+2x3y2&=2x2y当x=-1,y=3,原式=2×(-1)2×3=63.∵x2-8x-3=0∴x2-8x=3& 原式=(x2-8x+7)(x2-8x+15)& =10×18=180
5、△ABC是等腰直角三角形吧?(1)证明:过C点,做CG∥AB,交BF延长线于点G,则△CGB≌△BDA,得到CG=BD=DC=,∠G=∠ADB∵∠BCA=∠ACG=45°,CF=CF,∴△CFD≌△CFG∴∠G=∠CDF故∠ADB=∠FDC=∠G

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