规定这样一种新运算x×y=x的2次方-2xy
来源:学生作业帮助网 编辑:作业帮 时间:2024/09/22 15:47:52
2*4=2×4+1=9(1*4)*(-2)=(1×4+1)*(-2)=5*(-2)=5×(-2)+1=-9
现定义一种新的运算“*”,规定a*b=2a-b(a、b为整式).当a=X²-y²,b=x²+y²,c=2xy+y²时,求下列各式的值(1)a*c=2a
x*y=2xy-1,(1*3)*(-2)=(2×1×3-1)*(-2)=5*(-2)=2×5×(-2)-1=-20-1=-21
3a+5b=154a+7b=28a=-35b=24a+b=-11
(1)2*4=2×4+1=9(2)(1*4)*(-2)=(1×4+1)×(-2)+1=-9(3)任意选择两个有理数进行尝试,发现□*○=○*□因为□*○=□×○+1=○×□+1=○*□.(4)题目写错
1.2*4=2×4+1=92.(1*4)*(-2)1*4=1×4+1=55*(-2)=5×(-2)+1=-9所以(1*4)*(-2)=-9
x*y+(x+y)*(x-y)=(x+y)-(x-y)+(x+y+x-y)-(x+y-x+y)=-2y+2x-2y=2x-4y
根据规定运算,得(1*4)*(-2)=(1×4+1)*(-2),=5*(-2),=5×(-2)+1,=-9.故本题答案为:-9.
2※4=2*4+1=9
(-3)*4=(-3)×4-2=-12-2=-14
1.2※3=3×3-6×2+2=-12.1/2※2/3=0(1/2※2/3)※(-2)=0)※(-2)=-43.a※(2a+3)=3(2a+3)-6a+2=11
2※3=3x3-6x2+2=-1
再答:2※3=3*3-6*2+2=9-12+2=﹣1(1/2※2/3)※(-2)=(3*2/3-6*1/2+2)※2=(2-3+2)※(-2)=1※(-2)=3*(-2)-6*1+2=-10a※(2a
(1)2※4=2×4+1=9;(2)(1※4)※(-2)=(1×4+1)×(-2)+1=-9;(3)(-1)※5=-1×5+1=-4,5※(-1)=5×(-1)+1=-4;(4)∵a※(b+c)=a(
2※x=2×x-2+x=42x-2+x=43x=2+43x=6x=2
a=-5b=-3a*b=-3a=-5b=3a*b=3a=5b=-3a*b=5a=5b=3a*b=5
①a=5,b=3,a@b=5②a=5,b=-3,a@b=5③a=-5,b=3,a@b=3④a=-5,b=-3,a@b=-3
(5&2)=175x-17*4=14x=16.4
X0Y=2XY/X+Y因为有X03=3,可知Y=3,2XY/X+Y=3,把Y=3代入6X/X+3=3解得X=3
(-2)*3=-2*3/4*(-2)+5*3=63/4