圆x² y² x-6y 3=0

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