27.在平面直角坐標(biāo)系中,點(diǎn)O為坐標(biāo)頂點(diǎn),點(diǎn)B(-6,0),A(0,6)分側(cè)位于x軸和y軸上,連接AB、CA⊥AB交x軸于點(diǎn)C.
(1)求點(diǎn)C的坐標(biāo);
(2)動(dòng)點(diǎn)P從B出發(fā)以2個(gè)單位/秒的速度沿x軸向終點(diǎn)C運(yùn)動(dòng),連接AP,將線段AP繞看點(diǎn)A逆時(shí)針旋轉(zhuǎn)90°后得到線段AQ,P與Q為對(duì)應(yīng)點(diǎn),連接PQ,CQ,S為△PCQ的面積,用含t的式子表示S;
(3)在(2)的條件下,連接BQ,過點(diǎn)A作AH⊥BQ于G,交x軸于H,PQ交AC于M,若S
△APM:S
△AQM=2:1,求點(diǎn)H的坐標(biāo).