3次方程 (英文)x^3+p*x^2+q*x+r=0set z=x-k rewrite the function as a cubic equation in z.(后面省略一点)变成关于Z的方程后,让Z的二次项消失,得z^3-a*z+b=0write down a condition on the coefficients that is satisfield if and on
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![3次方程 (英文)x^3+p*x^2+q*x+r=0set z=x-k rewrite the function as a cubic equation in z.(后面省略一点)变成关于Z的方程后,让Z的二次项消失,得z^3-a*z+b=0write down a condition on the coefficients that is satisfield if and on](/uploads/image/z/15193073-65-3.jpg?t=3%E6%AC%A1%E6%96%B9%E7%A8%8B+%EF%BC%88%E8%8B%B1%E6%96%87%EF%BC%89x%5E3%2Bp%2Ax%5E2%2Bq%2Ax%2Br%3D0set+z%3Dx-k+rewrite+the+function+as+a+cubic+equation+in+z.%28%E5%90%8E%E9%9D%A2%E7%9C%81%E7%95%A5%E4%B8%80%E7%82%B9%29%E5%8F%98%E6%88%90%E5%85%B3%E4%BA%8EZ%E7%9A%84%E6%96%B9%E7%A8%8B%E5%90%8E%2C%E8%AE%A9Z%E7%9A%84%E4%BA%8C%E6%AC%A1%E9%A1%B9%E6%B6%88%E5%A4%B1%2C%E5%BE%97z%5E3-a%2Az%2Bb%3D0write+down+a+condition+on+the+coefficients+that+is+satisfield+if+and+on)
3次方程 (英文)x^3+p*x^2+q*x+r=0set z=x-k rewrite the function as a cubic equation in z.(后面省略一点)变成关于Z的方程后,让Z的二次项消失,得z^3-a*z+b=0write down a condition on the coefficients that is satisfield if and on
3次方程 (英文)
x^3+p*x^2+q*x+r=0
set z=x-k rewrite the function as a cubic equation in z.(后面省略一点)
变成关于Z的方程后,让Z的二次项消失,得
z^3-a*z+b=0
write down a condition on the coefficients that is satisfield if and only if the cubic has two turning points(local max and local min)
3次方程 (英文)x^3+p*x^2+q*x+r=0set z=x-k rewrite the function as a cubic equation in z.(后面省略一点)变成关于Z的方程后,让Z的二次项消失,得z^3-a*z+b=0write down a condition on the coefficients that is satisfield if and on
化成Z的方程后,对Z求一次导,让导数=0求得系数之间的关系即可.
two turning points,就是指Z的三次方程的一次导数与X轴有且仅有两交点.Z的图形应该仅有两条切线的斜率为0,即拐两弯