&已知常数k,若函数f(x)和g(x)满足:\\
&\begin{cases}
\dfrac{f(x)}{g(x)}=\dfrac{f''(x)}{g''(x)}\\
\left(\dfrac{k}{f^2(x)+g^2(x)}\right)^2=(f''(x))^2+(g''(x))^2
\end{cases}\\
&求证:存在实数A,B,C,D,E,F,使得\\
&Af^2(x)+Bf(x)g(x)+Cg^2(x)+Df(x)+Eg(x)+F=0
\end{aligned}$$
怎么用数学方法解决awa……
2024/8/13 10:21