1.已知數(shù)軸上兩點(diǎn)A,B對(duì)應(yīng)的數(shù)分別為-8和4,點(diǎn)P為數(shù)軸上一動(dòng)點(diǎn),若規(guī)定:點(diǎn)P到A的距離是點(diǎn)P到B的距離的3倍時(shí),我們就稱點(diǎn)P是關(guān)于A→B的“廣益點(diǎn)”.
(1)若點(diǎn)P到點(diǎn)A的距離等于點(diǎn)P到點(diǎn)B的距離時(shí),求點(diǎn)P表示的數(shù)是多少;
(2)若點(diǎn)P以每秒1個(gè)單位的速度從原點(diǎn)O開始向右運(yùn)動(dòng),當(dāng)點(diǎn)P是關(guān)于A→B的“廣益點(diǎn)”時(shí),求點(diǎn)P的運(yùn)動(dòng)時(shí)間;
(3)若點(diǎn)P在原點(diǎn)的左邊(即點(diǎn)P對(duì)應(yīng)的數(shù)為負(fù)數(shù)),且點(diǎn)P,A,B中,其中有一個(gè)點(diǎn)是關(guān)于其它任意兩個(gè)點(diǎn)的“廣益點(diǎn)”,請(qǐng)直接寫出所有符合條件的點(diǎn)P表示的數(shù).