½âÎö¼¸ºÎ£¬ÂÀÁÖ¸ù£¬¿ÎºóϰÌâ½â´ðÒ»µ½Îå

3.3 Á½Æ½ÃæµÄÏà¹ØÎ»ÖÃ

1.ÅбðÏÂÁи÷¶ÔÖ±ÏßµÄÏà¹ØÎ»Ö㺠£¨1£©x?2y?4z?1?0Óë

xy??z?3?0£» 42£¨2£©2x?y?2z?5?0Óëx?3y?z?1?0£» £¨3£©6x?2y?4z?5?0Óë9x?3y?6z?½â£º

2.·Ö±ðÔÚÏÂÁÐÌõ¼þÏÂÈ·¶¨l,m,nµÄÖµ£º

£¨1£©Ê¹(l?3)x?(m?1)y?(n?3)z?8?0ºÍ(m?3)x?(n?9)y?(l?3)z?16?0±íÊ¾Í¬Ò»Æ½Ãæ£»

£¨2£©Ê¹2x?my?3z?5?0Óëlx?6y?6z?2?0±íʾ¶þƽÐÐÆ½Ã棻 £¨3£©Ê¹lx?y?3z?1?0Óë7x?2y?z?0±íʾ¶þ»¥Ïà´¹Ö±µÄÆ½Ãæ¡£ ½â£º

3.ÇóÏÂÁÐÁ½Æ½ÐÐÆ½Ãæ¼äµÄ¾àÀ룺

£¨1£©19x?4y?8z?21?0£¬19x?4y?8z?42?0£» £¨2£©3x?6y?2z?7?0£¬3x?6y?2z?14?0¡£ ½â£º

9?0¡£ 2

4.ÇóÏÂÁи÷×éÆ½ÃæËù³ÉµÄ½Ç£º £¨1£©x?y?11?0£¬3x?8?0£»

£¨2£©2x?3y?6z?12?0£¬x?2y?2z?7?0¡£ ½â£º

5. ÇóÏÂÁÐÆ½ÃæµÄ·½³Ì:

(1) ͨ¹ýµãM1?0,0,1?ºÍM2?3,0,0?ÇÒÓë×ø±êÃæxOy³É60½ÇµÄÆ½Ãæ;

00(2) ¹ýzÖáÇÒÓëÆ½Ãæ2x?y?5z?7?0³É60½ÇµÄÆ½Ãæ.

½â

¡ì 3.4¿Õ¼äÖ±Ïߵķ½³Ì

1.ÇóÏÂÁи÷Ö±Ïߵķ½³Ì£º

£¨1£©Í¨¹ýµãA(?3,0,1)ºÍµãB(2,?5,1)µÄÖ±Ïߣ» £¨2£©Í¨¹ýµãM0(x0,y0,z0)ÇÒÆ½ÐÐÓÚÁ½Ïà½»Æ½Ãæ?i£º

Aix?Biy?Ciz?Di?0

(i?1,2)µÄÖ±Ïߣ»

£¨3£©Í¨¹ýµãM(1?5,3)ÇÒÓëx,y,zÈýÖá·Ö±ð³É60,45,120µÄÖ±Ïߣ»

???£¨4£©Í¨¹ýµãM(1,0,?2)ÇÒÓëÁ½Ö±Ïß

x?1yz?1xy?1z?1ºÍ?´¹Ö±µÄÖ±Ïߣ» ???11?11?10£¨5£©Í¨¹ýµãM(2,?3,?5)ÇÒÓëÆ½Ãæ6x?3y?5z?2?0´¹Ö±µÄÖ±Ïß¡£ ½â£º

£².ÇóÒÔϸ÷µãµÄ×ø±ê£º £¨£±£©ÔÚÖ±Ïß

x?1y?8z?8ÉÏÓëÔ­µãÏà¾à£²£µ¸öµ¥Î»µÄµã£» ??213£¨£²£©¹ØÓÚÖ±Ïß?½â£º

?x?y?4z?12?0ÓëµãP(2,0,?1)¶Ô³ÆµÄµã¡£

?2x?y?2z?3?0£³.ÇóÏÂÁи÷Æ½ÃæµÄ·½³Ì£º

£¨£±£©Í¨¹ýµãp(2,0,?1)£¬ÇÒÓÖͨ¹ýÖ±Ïߣ¨£²£©Í¨¹ýÖ±Ïß

x?1yz?2µÄÆ½Ãæ£» ??2?13x?2y?3z?1ÇÒÓëÖ±Ïß ??1?5?1?2x?y?z?3?0 ??x?2y?z?5?0ƽÐÐµÄÆ½Ã棻 £¨£³£©Í¨¹ýÖ±Ïß

x?1y?2z?2ÇÒÓëÆ½Ãæ3x?2y?z?5?0´¹Ö±µÄÆ½Ãæ£» ??2?32£¨£´£©Í¨¹ýÖ±Ïß?½â£º

?5x?8y?3z?9?0ÏòÈý×ø±êÃæËùÒýµÄÈý¸öÉäÓ°Æ½Ãæ¡£

?2x?4y?z?1?0

4.»¯ÏÂÁÐÖ±ÏßµÄÒ»°ã·½³ÌΪÉäӰʽ·½³ÌÓë±ê×¼·½³Ì£¬²¢Çó³öÖ±Ïߵķ½ÏòÓàÏÒ£º £¨1£©??2x?y?z?1?0?x?z?6?0 £¨2£©?

?3x?y?2z?3?0?2x?4y?z?6?0?x?y?z?0£¨3£©?

x?2?½â£º

??5. Ò»ÏßÓëÈý×ø±êÖá¼äµÄ½Ç·Ö±ðΪ?,?,?.Ö¤Ã÷sinÖ¤

¡ì 3.5Ö±ÏßÓëÆ½ÃæµÄÏà¹ØÎ»ÖÃ

1.ÅбðÏÂÁÐÖ±ÏßÓëÆ½ÃæµÄÏà¹ØÎ»Öãº

2s2i?n?2s?i?n 2 .

x?3y?4z??Óë4x?2y?2z?3£» ?2?73xyz£¨2£©??Óë3x?2y?7z?8£»

3?27£¨1£©£¨3£©??5x?3y?2z?5?0Óë4x?3y?7z?7?0£»

?2x?y?z?1?0?x?t?£¨4£©?y??2t?9Óë3x?4y?7z?10?0¡£

?z?9t?4?½â£º

2.ÊÔÑéÖ¤Ö±Ïßl£ººÍ½»½Ç¡£ ½â£º

3.È·¶¨l,mµÄÖµ£¬Ê¹£º

xy?1z?1??ÓëÆ½Ãæ?£º2x?y?z?3?0Ïཻ£¬²¢Çó³öËüµÄ½»µã?112

ÁªÏµ¿Í·þ£º779662525#qq.com(#Ìæ»»Îª@)