设 ON垂直于平面ABC.
于是
MA =AO+OM =AO + xOA+1/5 OB+2/5OC
=(x-1) OA + 1/5 (OA+AB)+2/5(OA+AC)
=(x-2/5)OA+1/5AB+2/5AC
0=ON*MA =ON*((x-2/5)OA+1/5AB+2/5AC) = (x-2/5) ON*OA
如果 O在平面ABC外,则 ON*OA不为0,于是 x=2/5
如果O在平面平面ABC中,则 x 得由M的具体位置而定,于是是不确定的.
设 ON垂直于平面ABC.
于是
MA =AO+OM =AO + xOA+1/5 OB+2/5OC
=(x-1) OA + 1/5 (OA+AB)+2/5(OA+AC)
=(x-2/5)OA+1/5AB+2/5AC
0=ON*MA =ON*((x-2/5)OA+1/5AB+2/5AC) = (x-2/5) ON*OA
如果 O在平面ABC外,则 ON*OA不为0,于是 x=2/5
如果O在平面平面ABC中,则 x 得由M的具体位置而定,于是是不确定的.