Junior high school math! The third question is how to do it Don't! Check the original text on a single machine ~ thank you ~
Let me give you a hint. When ∠ ACG = 30, it happens that FG=2, and GA is tangent to circle M.
AF=FG=AG=2
F0= 1
FC=2
CG=FC+GG=2+2=4
F(- 1,0)