A thuộc d và B thuộc d'?
Do \(A\in d\Rightarrow A\left(a;2a+1\right)\)
\(B\in d'\Rightarrow B\left(b;1-b\right)\)
G là trọng tâm tam giác OAB
\(\Rightarrow\left\{{}\begin{matrix}x_A+x_B+x_O=3x_G\\y_A+y_B+y_O=3y_G\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}a+b=6\\2a+1+1-b=3\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}a+b=6\\2a-b=1\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}a=\frac{7}{3}\\b=\frac{11}{3}\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}A\left(\frac{7}{3};\frac{17}{3}\right)\\B\left(\frac{11}{3};-\frac{8}{3}\right)\end{matrix}\right.\)
