b4ac?b2b£¨?£¬£©1.ÇóÅ×ÎïÏߵĶ¥µã¡¢¶Ô³ÆÖ᣺¶¥µãÊÇ£¬¶Ô³ÆÖáÊÇÖ±Ïßx??.
2a4a2a2.Å×ÎïÏßy?ax?bx?cÖУ¬bºÍa¹²Í¬¾ö¶¨Å×ÎïÏß¶Ô³ÆÖáµÄλÖÃ.ÓÉÓÚÅ×ÎïÏßy?ax?bx?cµÄ¶Ô³ÆÖáÊÇÖ±Ïßx??×ó²à£»¢Û
22bb£¬¹Ê£º¢Ùb?0ʱ£¬¶Ô³ÆÖáΪyÖ᣻¢Ú?0£¨¼´a¡¢bͬºÅ£©Ê±£¬¶Ô³ÆÖáÔÚyÖá
a2ab?0£¨¼´a¡¢bÒìºÅ£©Ê±£¬¶Ô³ÆÖáÔÚyÖáÓÒ²à.£¨Í¬×óÒìÓÒ£© a3.Óôý¶¨ÏµÊý·¨Çó¶þ´Îº¯ÊýµÄ½âÎöʽ
£¨1£©Ò»°ãʽ£ºy?ax?bx?c.ÒÑ֪ͼÏñÉÏÈýµã»òÈý¶Ôx¡¢yµÄÖµ£¬Í¨³£Ñ¡ÔñÒ»°ãʽ. £¨2£©¶¥µãʽ£ºy?a?x?h??k.ÒÑ֪ͼÏñµÄ¶¥µã»ò¶Ô³ÆÖᣬͨ³£Ñ¡Ôñ¶¥µãʽ.
22 £¨3£©½»µãʽ£ºÒÑ֪ͼÏñÓëxÖáµÄ½»µã×ø±êx1¡¢x2£¬Í¨³£Ñ¡Óý»µãʽ£ºy?a?x?x1??x?x2?. ×¢Ò⣺Èκζþ´Îº¯ÊýµÄ½âÎöʽ¶¼¿ÉÒÔ»¯³ÉÒ»°ãʽ»ò¶¥µãʽ£¬µ«²¢·ÇËùÓеĶþ´Îº¯Êý¶¼¿ÉÒÔд³É½»µãʽ£¬
2Ö»ÓÐÅ×ÎïÏßÓëxÖáÓн»µã£¬¼´b?4ac?0ʱ£¬Å×ÎïÏߵĽâÎöʽ²Å¿ÉÒÔÓý»µãʽ±íʾ£®¶þ´Îº¯Êý½âÎöʽ
µÄÕâÈýÖÖÐÎʽ¿ÉÒÔ»¥»¯.
4.Å×ÎïÏßÓëxÖáÁ½½»µãÖ®¼äµÄ¾àÀ룺ÈôÅ×ÎïÏßy?ax?bx?cÓëxÖáÁ½½»µãΪA?x1£¬0?£¬B?x2£¬0?£¬ÓÉÓÚ
2x1¡¢x2ÊÇ·½³Ìax2?bx?c?0µÄÁ½¸ö¸ù£¬¹Ê
bcx1?x2??,x1?x2?aaAB?x1?x2??x1?x2?2??x1?x2?2b2?4ac??b?4c?4x1x2???????
aaa?a?25.µãA×ø±êΪ£¨x1£¬y1£©µãB×ø±êΪ£¨x2£¬y2£©ÔòAB¼äµÄ¾àÀ룬¼´Ïß¶ÎABµÄ³¤¶ÈΪ 6.Ö±ÏßбÂÊ£º
?x1?x2?2??y1?y2?2
y2?y1
k?tan??x2?x17.¶ÔÓÚµãP£¨x0£¬y0£©µ½Ö±ÏßµÎÒ»°ãʽ·½³Ì ax+by+c=0 µÎ¾àÀëÓÐ
d?8.Æ½ÒÆ¿Ú¾÷£ºÉϼÓϼõ£¬×ó¼ÓÓÒ¼õ
ax0?by0?ca2?b2
1
¶þ¡¢¶þ´Îº¯ÊýͼÏóµÄ¶Ô³Æ
¶þ´Îº¯ÊýͼÏóµÄ¶Ô³ÆÒ»°ãÓÐÎåÖÖÇé¿ö£¬¿ÉÒÔÓÃÒ»°ãʽ»ò¶¥µãʽ±í´ï 1. ¹ØÓÚxÖá¶Ô³Æ
y?a2x?bx?¹ØÓÚcxÖá¶Ô³Æºó£¬µÃµ½µÄ½âÎöʽÊÇy??a2x?bx?£»c
y?a?x?h??k¹ØÓÚxÖá¶Ô³Æºó£¬µÃµ½µÄ½âÎöʽÊÇy??a?x?h??k£»
22 2. ¹ØÓÚyÖá¶Ô³Æ
y?a2x?bx?¹ØÓÚcyÖá¶Ô³Æºó£¬µÃµ½µÄ½âÎöʽÊÇy?a2x?bx?£»c
y?a?x?h??k¹ØÓÚyÖá¶Ô³Æºó£¬µÃµ½µÄ½âÎöʽÊÇy?a?x?h??k£»
22 3. ¹ØÓÚÔµã¶Ô³Æ
x?bx?¹ØÓÚÔµã¶Ô³Æºó£¬µÃµ½µÄ½âÎöʽÊÇcy??a2x?bx?£»c y?a2ky??a?x??h?£»k y?a?x??h?¹ØÓÚÔµã¶Ô³Æºó£¬µÃµ½µÄ½âÎöʽÊÇ
22 4. ¹ØÓÚ¶¥µã¶Ô³Æ
b2?¹ØÓÚ¶¥µã¶Ô³Æºó£¬µÃµ½µÄ½âÎöʽÊÇc y?ax?bxy??ax?bx?c?£»
2a22y?a?x?h??k¹ØÓÚ¶¥µã¶Ô³Æºó£¬µÃµ½µÄ½âÎöʽÊÇy??a?x?h??k£®
22n?¶Ô³Æ 5. ¹ØÓÚµã?m£¬y?a?x?h??k¹ØÓÚµã?m£¬n?¶Ô³Æºó£¬µÃµ½µÄ½âÎöʽÊÇy??a?x?h?2m??2n?k
22 ¸ù¾Ý¶Ô³ÆµÄÐÔÖÊ£¬ÏÔÈ»ÎÞÂÛ×÷ºÎÖֶԳƱ任£¬Å×ÎïÏßµÄÐÎ×´Ò»¶¨²»»á·¢Éú±ä»¯£¬Òò´ËaÓÀÔ¶²»±ä£®ÇóÅ×ÎïÏߵĶԳÆÅ×ÎïÏߵıí´ïʽʱ£¬¿ÉÒÔÒÀ¾ÝÌâÒâ»ò·½±ãÔËËãµÄÔÔò£¬Ñ¡ÔñºÏÊʵÄÐÎʽ£¬Ï°¹ßÉÏÊÇÏÈÈ·¶¨
ÔÅ×ÎïÏߣ¨»ò±í´ïʽÒÑÖªµÄÅ×ÎïÏߣ©µÄ¶¥µã×ø±ê¼°¿ª¿Ú·½Ïò£¬ÔÙÈ·¶¨Æä¶Ô³ÆÅ×ÎïÏߵĶ¥µã×ø±ê¼°¿ª¿Ú·½Ïò£¬È»ºóÔÙд³öÆä¶Ô³ÆÅ×ÎïÏߵıí´ïʽ£®
2