Question

1£®Èçͼ£¬Æ½ÃæÖ±½Ç×ø±êϵµÄµ¥Î»ÊÇÀåÃ×£¬Ö±ÏßABµÄ½âÎöʽΪy=$\sqrt{3}$x-6$\sqrt{3}$·Ö±ðÓëxÖá¡¢yÖáÏཻÓÚA¡¢BÁ½µã£®µãCÑØÉäÏßBAÒÔ3ÀåÃ×/ÃëµÄËÙ¶ÈÔ˶¯£¬ÒÔµãCΪԲÐÄ×÷°ë¾¶Îª1ÀåÃ׵ġÑC£®µãPÒÔ2ÀåÃ×/ÃëµÄËÙ¶ÈÔÚÏ߶ÎOAÉÏÀ´»ØÔ˶¯£¬Ô˶¯Ê±¼äΪt£¨t£¾0£©£¬¹ýµãP×÷Ö±Ïßl´¹Ö±ÓÚxÖᣮ
£¨1£©ÇóA£¬BÁ½µãµÄ×ø±ê£»
£¨2£©ÈôµãCÓëµãPͬʱ´ÓµãB£¬µãO¿ªÊ¼Ô˶¯£¬ÇóÖ±ÏßlÓë¡ÑCµÚ¶þ´ÎÏàÇÐʱµãPµÄ×ø±ê£»
£¨3£©ÔÚ£¨2£©µÄÌõ¼þÏ£¬Ö±ÏßlÓë¡ÑCÏཻʱtµÄ·¶Î§ÊÇ0¡Üt£¼2»ò$\frac{22}{7}$£¼t£¼$\frac{26}{7}$£®

Answer 1

·ÖÎö £¨1£©¸ù¾ÝÖ±Ïß·½³Ì·Ö±ðÁîx£¬yֵΪÁ㣬¼´¿ÉµÃ³öB£¬A×ø±ê£®
£¨2£©ÏÈÇó³öµÚ¶þ´ÎÏàÇеÄʱ¼ä£¬¼Ì¶øÇóµÃµ½Pµã×ø±ê£®
£¨3£©·ÖÎö¿ÉµÃÖ±ÏßÓëÔ²¹²ÏàÇÐ3´Î£¬·Ö±ðËã³öÈý´ÎÏàÇÐʱ¼ä£¬¼´¿ÉÇóµÃ´ð°¸£®

½â´ð ½â£º£¨1£©ÓÉÖ±Ïß·½³Ì£¬Áîx=0£¬µÃy=-6$\sqrt{3}$£¬
ÔòBµã×ø±êΪ£¨0£¬-6$\sqrt{3}$£©£»
Áîy=0£¬µÃx=6£¬
ÔòAµã×ø±êΪ£¨6£¬0£©£®

£¨2£©Èçͼ1£¬Ö±ÏßlÓë¡ÑCµÚ2´ÎÏàÇÐʱ£¬
¸ù¾ÝÌâÒâµÃ£º12-2t=3t•cos60¡ã+1£¬
½âµÃ£ºt=$\frac{22}{7}$£¬
ÔòPµãºá×ø±êΪ£º3¡Á$\frac{22}{7}$¡Ácos60¡ã+1=$\frac{40}{7}$£¬Pµã×Ý×ø±êΪ£º0£¬
ÔòPµã×ø±êΪ£¨$\frac{40}{7}$£¬0£©£»

£¨3£©µÚÒ»´ÎÏàÇÐʱ£¬Ôò2t-3t¡Ácos60¡ã=1£¬
½âµÃt=2£¬
µÚ¶þ´ÎÏàÇÐʱ£¬ÓÉ£¨2£©µÃ£ºt=$\frac{22}{7}$£¬
µÚ¶þ´ÎÏàÇÐʱ£¬12-2t=3t•cos60¡ã-1£¬
½âµÃ£ºt=$\frac{26}{7}$£¬
¹ÊÔÚÕû¸öÔ˶¯¹ý³ÌÖУ¬Ö±ÏßlÓë¡ÑCÏཻʱtµÄ·¶Î§ÊÇ£º0¡Üt£¼2»ò$\frac{22}{7}$£¼t£¼$\frac{26}{7}$£®
¹Ê´ð°¸Îª£º0¡Üt£¼2»ò$\frac{22}{7}$£¼t£¼$\frac{26}{7}$£®

µãÆÀ ´ËÌâÊôÓÚÔ²µÄ×ÛºÏÌ⣬¿¼²éÁËÖ±ÏßÓëÔ²µÄλÖùØϵÒÔ¼°Èý½Çº¯Êý£®×¢ÒâÕÆÎÕ·ÖÀàÌÖÂÛ˼ÏëµÄÓ¦ÓÃÊǽâ´ËÌâµÄ¹Ø¼ü£®