急需40道因式分解题，要包含各种解题方法在内
(1)x^2-9x+8=0 答案：x1=8 x2=1 (2)x^2+6x-27=0 答案：x1=3 x2=-9 (3)x^2-2x-80=0 答案：x1=-8 x2=10 (4)x^2+10x-200=0 答案：x1=-20 x2=10 (5)x^2-20x+96=0 答案：x1=12 x2=8 (6)x^2+23x+76=0 答案：x1=-19 x2=-4 (7)x^2-25x+154=0 答案：x1=14 x2=11 (8)x^2-12x-108=0 答案：x1=-6 x2=18 (9)x^2+4x-252=0 答案：x1=14 x2=-18 (10)x^2-11x-102=0 答案：x1=17 x2=-6 (11)x^2+15x-54=0 答案：x1=-18 x2=3 (12)x^2+11x+18=0 答案：x1=-2 x2=-9 (13)x^2-9x+20=0 答案：x1=4 x2=5 (14)x^2+19x+90=0 答案：x1=-10 x2=-9 (15)x^2-25x+156=0 答案：x1=13 x2=12 (16)x^2-22x+57=0 答案：x1=3 x2=19 (17)x^2-5x-176=0 答案：x1=16 x2=-11 (18)x^2-26x+133=0 答案：x1=7 x2=19 (19)x^2+10x-11=0 答案：x1=-11 x2=1 (20)x^2-3x-304=0 答案：x1=-16 x2=19 (21)x^2+13x-140=0 答案：x1=7 x2=-20 (22)x^2+13x-48=0 答案：x1=3 x2=-16 (23)x^2+5x-176=0 答案：x1=-16 x2=11 (24)x^2+28x+171=0 答案：x1=-9 x2=-19 (25)x^2+14x+45=0 答案：x1=-9 x2=-5 (26)x^2-9x-136=0 答案：x1=-8 x2=17 (27)x^2-15x-76=0 答案：x1=19 x2=-4 (28)x^2+23x+126=0 答案：x1=-9 x2=-14 (29)x^2+9x-70=0 答案：x1=-14 x2=5 (30)x^2-1x-56=0 答案：x1=8 x2=-7 (31)x^2+7x-60=0 答案：x1=5 x2=-12 (32)x^2+10x-39=0 答案：x1=-13 x2=3 (33)x^2+19x+34=0 答案：x1=-17 x2=-2 (34)x^2-6x-160=0 答案：x1=16 x2=-10 (35)x^2-6x-55=0 答案：x1=11 x2=-5 (36)x^2-7x-144=0 答案：x1=-9 x2=16 (37)x^2+20x+51=0 答案：x1=-3 x2=-17 (38)x^2-9x+14=0 答案：x1=2 x2=7 (39)x^2-29x+208=0 答案：x1=16 x2=13 (40)x^2+19x-20=0 答案：x1=-20 x2=1 (41)x^2-13x-48=0 答案：x1=16 x2=-3 (42)x^2+10x+24=0 答案：x1=-6 x2=-4 (43)x^2+28x+180=0 答案：x1=-10 x2=-18 (44)x^2-8x-209=0 答案：x1=-11 x2=19 (45)x^2+23x+90=0 答案：x1=-18 x2=-5 (46)x^2+7x+6=0 答案：x1=-6 x2=-1 (47)x^2+16x+28=0 答案：x1=-14 x2=-2 (48)x^2+5x-50=0 答案：x1=-10 x2=5 (49)x^2+13x-14=0 答案：x1=1 x2=-14 (50)x^2-23x+102=0 答案：x1=17 x2=6 (51)x^2+5x-176=0 答案：x1=-16 x2=11 (52)x^2-8x-20=0 答案：x1=-2 x2=10 (53)x^2-16x+39=0 答案：x1=3 x2=13 (54)x^2+32x+240=0 答案：x1=-20 x2=-12 (55)x^2+34x+288=0 答案：x1=-18 x2=-16 (56)x^2+22x+105=0 答案：x1=-7 x2=-15 (57)x^2+19x-20=0 答案：x1=-20 x2=1 (58)x^2-7x+6=0 答案：x1=6 x2=1 (59)x^2+4x-221=0 答案：x1=13 x2=-17 (60)x^2+6x-91=0 答案：x1=-13 x2=7 已知:X平方+X+1=0 则X平方+1/X平方(也就是X平方分之一)=? 1.在长为10（根号5+1）cm的线段AB上有一点C, 且有AC^2=AB*BC，则AC长? 2.某旅馆有客房140间,当每间客房的日租金为60元时,每天都客满.如果一间客房的日租金增加5元,则客房每天的出租数会减少5间,当每间客房的日租金为多少元时,每日获得的总租金高达10000元?. 3.在等腰三角形ABC中.BC=6.AB.AC的长是关于x的方程x^2-10x+m=0的两个整数根,求m 4.用22㎝长的铁丝能不能折成一个32平方厘米的矩形？说明理由 5.若a为有理数,试探求当b为何值时,关于x的一元二次方程x^2+3(a-1)x+(2a^2+a+b)=0的根为有理数? 6.设关于y的一元二次方程3(m-2)y^2-2(m+1)y-m=0有正整数根，试探求满足条件的整数m 一,选择题: 1,下列方程(1)-x2+2=0 (2)2x2-3x=0 (3)-3x2=0 (3)-3x2=0 (4)x2+=0 (5)=5x (6)2x2-3=(x-3)(x2+1)中是一元二次方程的有( ) A,2个 B,3个 C,4个 D,5个 2,下列配方正确的是( ) x2+3x=(x+)2- (2)x2+2x+5=(x+1)2+4 (3)x2-x+=(x-)2+ (4)3x2+6x+1=3(x+1)2-2 A,(1)(3) B,(2)(4) C,(1)(4) D,(2)(3) 3,方程(x-1)2+(2x+1)2=9x的一次项系数是( ) A,2 B,5 C,-7 D,7 4,方程x2-3x+2-m=0有实根,则m的取值范围是( ) A,m>- B,m≥ C,m≥- D,m> 5,方程(m+1)x2-(2m+2)x+3m-1=0有一个根为0,则m的值为( ) A, B, C,- D,- 6,方程x2-mx+=0的大根与小根的差是( ) A,0 B,1 C,m D,m+1 7,如果关於x的方程3ax2-2(a-1)x+a=0有实数根,则a的取值范围是( ) A,a<且a≠0 B,a≥ C,a≤且a≠0 D,a≤ 8,若方程2x(kx-4)-x2+6=0没有实数根,则k的最小整数值是( ) A,1 B,2 C,3 D,4 9,一元二次方程一根比另一根大8,且两根之和为6,那麽这个方程是( ) A,x2-6x-7=0 B,x2-6x+7=0 C,x2+6x-7=0 D,x2+6x+7=0 10,方程3=2x-6变形为有理方程应是( ) A,4x2-33x+54=0 B,4x2-27x+42=0 C,4x2+21x+42=0 D,4x2-33x+38=0 11,通过换元,把方程3x2+15x+2=2化为整式方程,下面的换元中,正确的是设( ) A,=y B,3x2+15x=y C,=y D,x2+5x+1=y 12,去分母解关於x的方程产生增根,则m的值是( ) A,2 B,1 C,-1 D,以上答案都不对 13,下面四组数①②③④中,是方程组的解的是( ) A,①和④ B,②和④ C,①和② D,③和④ 14,已知方程组,有两个相等的实数解,则m的值为( ) A,1 B,-1 C, D,±1 二,填空题: 将方程x2+=x+x化成一般形式是____________,二次项系数是____________,一次项系数是____________,常数项是____________. 在实数范围内分解因式:2x2-4x-3=____________. 方程8x2-(k-1)x+k-7=0的一个根是0,则k=____________. 以-和为根的一元二次方程是____________. 制造某种药品,计划经过两年使成本降低到81%,则平均每年降低的百分率是________. 若x1,x2是方程2x2-7x+4=0的两根,则x12+x22的值为____________. 已知关於x的方程x2+ax+1-a2=0的两根之和等於3a-8,则两根之积等於___________. 三,解方程.6(x2+)+5(x+)-38=0 四,两个质数p,q是方程x2-99x+m=0的两个根,求的值 36绛旓細鍒嗚В鍥犲紡m +5n-mn-5m 瑙ｏ細m +5n-mn-5m= m -5m -mn+5n = (m -5m )+(-mn+5n)=m(m-5)-n(m-5)=(m-5)(m-n)鍒嗚В鍥犲紡bc(b+c)+ca(c-a)-ab(a+b)瑙ｏ細bc(b+c)+ca(c-a)-ab(a+b)=bc(c-a+a+b)+ca(c-a)-ab(a+b)=bc(c-a)+ca(c-a)+bc(a+b)-ab(a+b...
绛旓細绗竴棰锛氾紙1-1/4)(1-1/9)(1-1/16)(1-1/25)```(1-1/100)=(1+1/2)(1-1/2)(1+1/3)(1-1/3)(1+1/4)(1-1/4)鈥︹(1+1/10)(1-1/10)=[(3/2)(4/3)(5/4)鈥︹(11/10)][(1/2)(2/3)(3/4)鈥︹(9/10)]=(11/2)(1/10)=11/20绗簩棰橈細16 * 1...
绛旓細5.a锛19912 ,b锛9912 ,(1)姹俛2锛2ab锛媌2涔嬪? (2)a2锛峛2涔嬪?6.鍒ゅ埆2x锛1鏄惁4x2锛8x锛3鐨勫洜寮?濡傛灉鏄,璇鍥犲紡鍒嗚В4x2锛8x锛3.7.鍥犲紡鍒嗚В(1)3ax2锛2x锛3ax锛2 (2)(x2锛3x)锛(x锛3)2锛2x锛6.8.璁6x2锛13x锛媖涓3x锛2鐨勫嶅紡,姹俴涔嬪.9.鍒ゅ埆3x鏄笉鏄痻2涔嬪洜寮?锛堣...
绛旓細40. a^2-b^2+2ab-c^2 41. m^2+2mn+n^2-1 42. x^2-4y^2+4yz-z^2 43. 9x^2-4y^2-z^2+4yz 44. -25+a^2+9b^2-6ab 45. 2x^2-100x-102 46. x^2*y^2-7xy+10 47. x^2-x-2 48. -x^2*y+6xy-8y 49. x^2-9y^2-x+3y 50. x^2-7x-8 鍑轰笉鍔ㄤ簡銆
绛旓細1.(3a锛峛)2锛4(3a锛峛)(a锛3b)锛4(a锛3b)2锛漑3a-b-2(a+3b)]^2=(a-7b)^2 2.(a锛3)2锛6(a锛3)锛(a+3)(a-3) 3(x锛1)2(x锛2)锛(x锛1)(x锛2)2锛-(x+1)(x+2) 4.abc锛媋b锛4a锛漚(bc+b-4) 5.16x2锛81锛(4x+9)(4x-9) 6.9x2锛30x锛25锛(3x-5)^...
绛旓細25.x2锛峹锛14 锛濇暣鏁板唴鏃犳硶鍒嗚В 26.9x2锛30x锛25锛(3x-5)^2 27.锛20x2锛9x锛20锛(-4x+5)(5x+4)28.12x2锛29x锛15锛(4x-3)(3x-5)29.36x2锛39x锛9锛3(3x+1)(4x+3)30.21x2锛31x锛22锛(21x+11)(x-2)31.9x4锛35x2锛4锛(9x^2+1)(x+2)(x-2)32.(2x锛1)(x...
绛旓細50銆24a^3b^2梅3ab^2=8a^2,9,鍥犲紡鍒嗚В3a3b2c锛6a2b2c2锛9ab2c3锛3ab^2 c(a^2-2ac+3c^2)3.鍥犲紡鍒嗚Вxy锛6锛2x锛3y锛(x-3)(y-2)4.鍥犲紡鍒嗚Вx2(x锛峺)锛媦2(y锛峹)锛(x+y)(x-y)^2 5.鍥犲紡鍒嗚В2x2锛(a锛2b)x锛峚b锛(2x-a)(x+b)6.鍥犲紡鍒嗚Вa4锛9a2b2锛漚^2(a+3b)...
绛旓細40. a^2-b^2+2ab-c^2 41. m^2+2mn+n^2-1 42. x^2-4y^2+4yz-z^2 43. 9x^2-4y^2-z^2+4yz 44. -25+a^2+9b^2-6ab 45. 2x^2-100x-102 46. x^2*y^2-7xy+10 47. x^2-x-2 48. -x^2*y+6xy-8y 49. x^2-9y^2-x+3y 50. x^2-7x-8 绛旀锛1. (...
绛旓細1.(x+2)(x-2)2.=a骞虫柟(x-y)-b骞虫柟(x-y)=(a骞虫柟-b骞虫柟)(x-y)=(x-y)(a+b)(a-b)3.鎻愬彇鍏洜鏁癮c寰楀埌鍓╀綑閮ㄥ垎鏄畬鍏ㄥ钩鏂 =ac(a-2b)鐨勫钩鏂 4.D 2/3鎴-2/3 5.鍗佸瓧鐩镐箻 =(a-3)(3a+2)6.瀹屽叏骞虫柟 =(x-2y)鐨勫钩鏂 鍐嶇敤骞虫柟宸 寰(x-2y+1)(x-2y-1)
绛旓細xy锛6锛2x锛3y锛(x-3)(y-2)4.鍥犲紡鍒嗚Вx2(x锛峺)锛媦2(y锛峹)锛(x+y)(x-y)^2 5.鍥犲紡鍒嗚В2x2锛(a锛2b)x锛峚b锛(2x-a)(x+b)6.鍥犲紡鍒嗚Вa4锛9a2b2锛漚^2(a+3b)(a-3b)7.鑻ュ凡鐭3锛3x2锛4鍚湁x锛1鐨勫洜寮忥紝璇曞垎瑙3锛3x2锛4锛(x-1)(x+2)^2 8.鍥犲紡鍒嗚Вab(x2锛峺2)...
