圆x² y² x-6y 3=0
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y2=6,A、B、C都在上支,上准线y=a*a/c=12/5,双曲线上点到焦点距离与到相应准线距离的比为c/a=5/根号下(12).A、B、C三点到焦点距离分别等于c/a*(y1-12/5)、c/a*
∵y=-2/x在(负无穷,0)上是增函数∴当y1>y2>y3>0时,0>x1>x2>x3选C
∵y3-z3=(y-z)(y2+yz+z2)(立方差公式)又∵y3-z3-y2-yz-z2=0∴(y-z-1)(y2+yz+z2)=0(提取公因式)∵y、z是正实数∴y-z-1=0即y-z=1∵x-y
∵x+y+z=0,∴z=(-x-y)x^3+y^3+z^3=x^3+y^3-(x+y)^3=x^3+y^3-x^3-y^3-3x^2y-3xy^2=-3xy(x+y)=3xyz
要使二次根式有意义,x^2=9,x=3,-3x=3,y=0,x+y有平方根,立方根.x=-3,y=3/5,x+y有平方根,立方根
(x+y)³=x³+y³+3x²y+3xy².记忆方法:各立方,然后3x方y,3xy方(x+y)³=x³-y³-3x
∵有理数x,y满足方程(x+y-2)2+|x+2y|=0,∴x+y−2=0x+2y=0,解得,x=4y=−2;∴x2+y3=42+(-2)3=16-8=8;故答案为:8.
df/dx=3x^2-3y=0df/dy=3y^2-3x=0得驻点(0,0)(1,1)A=d^2f/dx^2=6xC=d^2f/dy^2=6yB=d^2f/dxdy=-3①对驻点(0,0)A=0B=-
由于x<-1,y>0,∴根(x+1)²=|x+1|=-(x+1).根y³=y根y.所以原式=-(x+1)/y根y=-(x+1)根y/y².
原方程可化为x(x+1)(x+2)+3(x2+x)=y(y-1)(y+1)+2,∵三个连续整数的乘积是3的倍数,∴上式左边是3的倍数,而右边除以3余2,这是不可能的.∴原方程无整数解.故选A.
求偏导另其等于0即可
x^3+y^3+x^3y^3=12,x^3+y^3+x^3y^3+1=13,(x^3+1)(y^3+1)=13(x+1)(x^2-x+1)(y+1)(y^2-y+1)=13;x+y+xy=0,x+y+
|m-2|+(3-3n)^2=0,化简2x^(m-n+1)y3-6y(m-n)x^2平方和绝对值的值恒为非负值,所以只有两个都为0的时候,和才为0所以m-2=0,3-3n=0=>m=2,n=1所以m-
能,y1=c,y2=6+c,y3=16+c,soy3>y2>y1其实y=2x^-4x+c=2(x-1)^+c-2对称轴为x=1,soy4
圆x²+y²-4x+6y+3=0变形得(x-2)²+(y+3)²=10.则与之同心的原方程设为(x-2)²+(y+3)²=r²将点
27.已知x=1.25,y=-0.64时,求[(x+y)3-(x3+y3)]÷(x+y)的值.[(x+y)^33-(x^3+y^3)]÷(x+y)解,得:==(x+y)^3*1/(x+y)-(x+y)
y=(1-C1-C2)y1(x)+C1y2(x)+C2y3(x)即y=y1(x)+C1*[y2(x)-y1(x)]+C2*[y3(x)-y1(x)]而y1(x),y2(x),y3(x)都是线性方程y'
6xy2-9x2y-y3+y=-y(9x^2-6xy+y^2-1)=-y{(3x-y)^2-1}=-y(3x-y+1)(3x-y-1)
x3+3xy-y3=(x-y)(x^2+y^2+xy)+3xy=-x^2-y^2+2xy=-(x-y)^2=-1
x²-x=7y²-y=7相减x²-x-y²+y=0(x+y)(x-y)=x-yx-y≠0约分x+y=1x²-x=7y²-y=7相加x&sup