一元二次方程练习题集

余年寄山水
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2021年02月24日 02:08
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2021年2月24日发(作者:牛虻)




一元二次方程练习题集




1)x^2-9x+8=0









(2)x^2+6x-27=0









(3)x^2-2x-80=0









(4)x^2+10x-200=0






(5)x^2-20x+96=0






(6)x^2+23x+76=0







(7)x^2-25x+154=0







(8)x^2-12x-108=0






(9)x^2+4x-252=0







(13)x^2-9x+20=0







(17)x^2-5x-176=0








(21)x^2+13x-140=0





(25)x^2+14x+45=0






(29)x^2+9x-70=0







(33)x^2+19x+34=0






(37)x^2+20x+51=0






(41)x^2-13x-48=0






(10)x^2-11x-102=0




(14)x^2+19x+90=0




(18)x^2-26x+133=0



(22)x^2+13x-48=0





(26)x^2-9x-136=0






(30)x^2-1x-56=0






(34)x^2-6x-160=0






(38)x^2-9x+14=0




(42)x^2+10x+24=0




(11)x^2+15x-54=0





(15)x^2-25x+156=0




(19)x^2+10x-11=0





(23)x^2+5x-176=0




(27)x^2-15x-76=0






(31)x^2+7x-60=0





(35)x^2-6x-55=0







(39)x^2-29x+208=0




(43)x^2+28x+180=0


1


/


11



(16)x^2-22x+57=0




(20)x^2-3x-304=0




(24)x^2+28x+171=0


(28)x^2+23x+126=0



(32)x^2+10x-39=0



(36)x^2-7x-144=0




(40)x^2+19x-20=0





(44)x^2-8x-209=0







(12)x^2+11x+18=0



















































(45)x^2+23x+90=0






(46)x^2+7x+6=0








(47)x^2+16x+28=0






(48)x^2+5x-50=0






(49)x^2+13x-14=0






(50)x^2-23x+102=0






(51)x^2+5x-176=0






(52)x^2-8x-20=0






(53)x^2-16x+39=0






(54)x^2+32x+240=0





(55)x^2+34x+288=0





(56)x^2+22x+105=0






(57)x^2+19x-20=0






(58)x^2-7x+6=0









(59)x^2+4x-221=0






1 x^2-6x+5=02





2.


x^2+4x-5=03





3.


4x^2-12x+5=0







4 x^2+4x+4=0










6 x^2+6x-7=0







7 x^2+3x-4=0







8 x^2+5x-6=0









9 a^2-5a+6=0










11 2x^2+5x-3=0





12 x^2-6x+8=0






13 x^2-4x-5=0








14 x^2-8x+15=0








16 4x^2-4x-3=0





17 x^2-6x+8=0






18 x^2-2x-8=0








19 x^2+2x-8=0












3x²


-1=0










+12X+36=24







-4X+1=8








4(6X-7)²


-9=0






+1/6X-1/3=0





3x²


-5x=2









+8x=9











+12x-15=0








+6x-27=0








-2x-80=0







+10x-200=0







-20x+96=0







2


/


11



(60)x^2+6x-91=0



5 2x^2-5x+2=0


10 c^2+3c-4=0


15 7x^2-8x+1=0


20 4x^2-12x-7=0








+X-1=0









-9x+8=0







+23x+76=0



















-25x+154=0






-12x-108=0





+4x-252=0







-11x-102=0











+15x-54=0







+11x+18=0







-9x+20=0







+19x+90=0






-25x+156=0







-22x+57=0







-5x-176=0







-26x+133=0







+10x-11=0






-3x-304=0








+13x-140=0







+13x-48=0







-15x-76=0






+10x-39=0






+20x+51=0






+10x+24=0




+16x+28=0






-16x+39=0






-7x+6=0








-18x+17=0





+5x-176=0







+28x+171=0







+14x+45=0







-9x-136=0





+23x+126=0






+9x-70=0






-1x-56=0








+7x-60=0






+19x+34=0






-6x-160=0






-6x-55=0






-7x-144=0






-9x+14=0







-29x+208=0







+19x-20=0








-13x-48=0







+28x+180=0





-8x-209=0






+23x+90=0








+7x+6=0










+5x-50=0









-23x+102=0









+5x-176=0







-8x-20=0










+32x+240=0









+34x+288=0









+22x+105=0






+19x-20=0





+4x-221=0









+6x-91=0









+8x+12=0









+7x-120=0










+7x-170=0









+6x+8=0









+13x+12=0









+24x+119=0



3


/


11

















+11x-42=0









+2x-289=0









+13x+30=0









-24x+140=0









+4x-60=0







+27x+170=0









+27x+152=0










-2x-99=0









+12x+11=0









+20x+19=0





-2x-168=0









-13x+30=0









-10x-119=0









































4


/


11












1.


方程


x


2


=16


的根是


x


1


=______,


x


2


=_______.


2.



x


2


=225


,则

x


1


=_____,


x

< p>
2


=_______.


3.


x


2



2


x


=0


,则


x


1


=________,


x


2


=________.


4.



(


x


2)


2


=0


,则

< br>x


1


=________,


x< /p>


2


=_______.


5.

< p>


9


x


2



25=0


,则


x

< p>
1


=________,


x


2


=_______.


6.


若-< /p>


2


x


2


+8=0


,则


x


1


=_ _______,


x


2


=______ __.


二、选择题



1.

< p>
方程


5


x


2


+75=0


的根是(








A.5


2.


方程


3


x


2



1=0


的解是(








A.


x


=


±


3.


方程


4


x


2



0.3=0< /p>


的解是(









A.


x



0


.


075




B.


x




B.



5





C.


±


5




D.


无实根



7.



x


2< /p>


+4=0


,则此方程解的情况是


____ ____.


8.



2


x


2



7=0


,则此方程的解的情况是


_______.


9.



5


x


2


=0


,则方程解为


__________. < /p>


10.



7


,< /p>


9


两题总结方程


ax

2


+


c


=0(

a



0)


的解的情况是:



ac



0

< p>


_________


;当


ac


=0



___________ ___


;当


ac


0



__________________.


1




3






B.


x


=< /p>


±


3C.


x


=< /p>


±


3



3




D.< /p>


x


=


±


3



1


30


C.


x


1



0

< p>
.


27




x


2



< br>0


.


27



20



D.


x


1



1


1


30



30





x


2




20


20


4.


方程


35


7< /p>


7


7


5


2


7


D



x

< p>
=


±



x



=0


的解是(








A.


x


=



B.


x


=


±


C.


x


=

< p>
±


5


5


5


5


2


2


5.

< br>已知方程


ax


2


+


c


=0(


a



0)


有实数根,则


a



c


的关系是(









A.


c


=0











B.


c


=0



a



c


异号


C.


c


=0



a



c


同号





D.

< p>
c



a


的整数倍



6.


关于


x


的方程


(


x


+


m


)


2


=


n


,


下列说法正确的是


< /p>


A.


有两个解


x


=


±


n









B.



n< /p>



0


时,有两个解


x


=


±


n



m



C.


当< /p>


n



0


时,有两 个解


x


=


±


n



m


D.


当< /p>


n



0


时,方程 无实根



7.


方程

(


x



2)


2


=(2


x


+3)

< br>2


的根是



A.


x


1


=


1


,


x


2


=



5



3


B.


x


1


=< /p>



5,


x


2


=



5C.


x


1


=


1


,


x


2


=5


3







D.


x< /p>


1


=5,


x


2< /p>


=



5


三、解方程




1



x


2


= 4














(2)


x


2


=16









(3) 2


x


2


=32
















(4)


2


x


2


=8


2< /p>


.


5


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11

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