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如图,在平面直角坐标系中,一次函数\(y = - x + 6\)的图象与\(x\)轴、\(y\)轴分别交于\(B\)、\(C\)两点,与正比例函数\(y = \frac{1}{2}x\)的图象交于点\(A\).
若动点\(M\)在射线\(AC\)上运动,当\(\Delta OMC\)的面积是\(\Delta OAC\)的面积的\(\frac{1}{2}\)时,求出此时点\(M\)的坐标.
参考答案:\(M\left ( {2,4} \right )\)或\(\left ( {-2,8} \right )\)
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