有理数混合运算题
1.102×(-4.5)-(-3)×(-5)÷2
2.7.8×6.9+2.2×6.9
3.(-2)+2-(-52)×(-1)×5+87÷(-3)×(-1)
4.5.6×0.258×(20-1.25)
5.(-7.1)×〔(-3)×(-5)〕÷2
6.-2.5×(-4.8)×(0.09)÷(-0.27)
7.27+352+73+44×(-2)
8.89×276+(-135)-33
9.25×71+75÷29-88÷(-2)
10.243+89+111+57
11.9405-2940÷28×21
12.920-1680÷40÷7
13.690+47×52-398
14.148+3328÷64-75
15.360×24÷32+730
16.2100-94+48×54
17.51+(2304-2042)×23
18.4215+(4361-716)÷81
19.(247+18)×27÷25
20.36-720÷(360÷18)
21.1080÷(63-54)×80
22.(528+912)×5-6178
23.8528÷41×38-904
24.264+318-8280÷69
化简求值题
1、已知A,B是方程x^2+2x-5=0的两个实数根,
求(A^2+2AB+2A)(B^2+2AB+2B)的值.
由A,B是方程x^2+2x-5=0的两个实数根得:
AB=-5,A+B=-2
A^2+2AB+2A)(B^2+2AB+2B)
=AB(A+2B+2)(B+2A+2)
=-5(-2+B+2)(-2+A+2)
=-5AB
=25
2、1/2(x+y+z)方+1/2(x-y-z)(x-y+z)-z(x+y),其中x-y=6,xy=21.要详细步骤
化简得:
1/2(x+y+z)方+1/2(x-y-z)(x-y+z)-z(x+y)=
1/2[(x+y)方+2z(x+y)+z方]+1/2[(x-y)方-z方]-z(x+y)=
1/2(x+y)方+1/2(x-y)方=x方+y方
由x-y=6,xy=21得,x方+y方=(x-y)方+2xy=78
3、a^2-ab+2b^2=3求2ab-2a^2-4b^2-7的值
2ab-2a^2-4b^2-7
=2(ab-a^2-2b^2)-7
=-2(a^2-ab+2b^2)-7
=(-2)*3-7
=-6-7=-13
4、若A=2x^2+3xy-2x-3,B=-x^2+xy+2,且3A+6B的值与x无关,求y的值
3A+6B=6x^2+9xy-6x-9-6x^2+6xy+12
=15xy-6x+3
=x(15y-6)+3
5、9x+6x^2-3(x-2/3x^2).其中x=-2
9x+6x²-3(x-2/3x²)
=9x+6x²-3x+2x²
=8x²+6x
=8×(-2)²+6×(-2)
=32-12
=20
6、1/4(-4x^2+2x-8)-(1/2x-1),其中x=1/2
1/4(-4x²+2x-8)-(1/2x-1)
=-x²+1/2x-2-1/2x+1
=-x²-1
=-(1/2)²-1
=-1/4-1
=-5/4
7、3x'y-[2x'y-(2xyz-x'z)-4x'z]-xyz,其中x=-2,y=-3,z=1,
:3x'y-[2x'y-(2xyz-x'z)-4x'z]-xyz
=3x'y-2x'y+2xyz-x'z+4x'z-xyz
=x'y-xyz+3x'z
=4*(-3)-2*3*1+3*4*1
=-12-6+12
=-6
8、(5a^2-3b^2)+(a^2+b^2)-(5a^2+3b^2),其中a=-1,b=1
=5a^2-3b^2+a^2+b^2-5a^2-3b^2
=a^2-5b^2
=(-1)^2-5*1^2
=1-5
=-4
方程
1.2x-10.3x=15
2.0.52x-(1-0.52)x=80
3.x/2+3x/2=7
4.3x+7=32-2x
5.3x+5(138-x)=540
6.3x-7(x-1)=3-2(x+3)
7.18x+3x-3=18-2(2x-1)
8.3(20-y)=6y-4(y-11)
9.-(x/4-1)=5
10.3[4(5y-1)-8]=6
11.2x+5=45
12.2(x+8)=48
13.88-25x=45+6x
14.566+48x=56-x
15.2(x-2)-3(4x-1)=9(1-x)
16.11x+64-2x=100-9x
17.15-(8-5x)=7x+(4-3x)
18.3(x-7)-2[9-4(2-x)]=22
有关线段的运算题
1.已知一条线段上有A,B,C三点,线段AB的中点为P,AB=10cm,线段BC的中点为Q,BC=6cm,则线段PQ=
2.在直线L上取A,B两点,使AB=10cm,再在直线L上取一点C,使AC=2cm,M,N分别是AB,AC中点,则MN=
3.已知C是线段AB的中点,D是线