¡°ÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨Ôò¡±ÊµÑé

£¨1£©Ä³Í¬Ñ§µÄʵÑé²Ù×÷ÈçÏ£¬ÇëÍê³ÉÏà¹ØÄÚÈÝ

a£®ÔÚ×ÀÃæÉÏ·ÅÒ»¿é·½Ä¾°å£¬ÔÚľ°åÉÏÆÌÒ»ÕÅ°×Ö½£¬°ÑÏðƤÌõÒ»¶Ë¹Ì¶¨ÔÚľ°åÉϵÄAµã£®

b£®°ÑÁ½ÌõϸÉþϵÔÚÏðƤÌõµÄÁíÒ»¶Ë£¬Í¨¹ýϸÉþÓÃÁ½¸öµ¯»É²âÁ¦¼Æ»¥³É½Ç¶ÈÀ­ÏðƤÌõ£¬ÏðƤÌõÉ쳤£¬Ê¹½áµãµ½´ïijһλÖÃO£®

c£®¼ÇÏÂÁ½¸öµ¯»É²âÁ¦¼ÆµÄ¶ÁÊý¼°½áµãOµÄλÖã¬ÃèÏÂÁ½ÌõϸÉþµÄ·½Ïò£¬ÔÚÖ½ÉÏ°´±ÈÀý×ö³öF1ºÍF2µÄͼʾ£¬ÓÃƽÐÐËıßÐη¨ÔòÇó³öºÏÁ¦F£®

d£®Ö»ÓÃÒ»¸öµ¯»É²âÁ¦¼Æ£¬Í¨¹ýϸÉþ°ÑÏðƤÌõµÄ½áµãÀ­µ½Í¬ÑùµÄ       £¬¼Çϵ¯»É²âÁ¦¼ÆµÄ¶ÁÊýºÍϸÉþµÄ·½Ïò£¬°´Í¬Ñù±ÈÀý×ö³öÕâ¸öÁ¦F'µÄͼʾ£®

 e£®±È½ÏF' ºÍF£¬¿ÉÒÔ¿´³öËüÃÇÔÚʵÑéÎó²î·¶Î§ÄÚÊÇÏàµÈµÄ£®

  f£®                                        

£¨2£©Ä³Í¬Ñ§µÄʵÑé¼Ç¼Èçͼ11£¨a£©Ëùʾ£®

¢ÙÓÃÈçͼ11£¨b£©µÄÏ߶γ¤¶È±íʾ1NÁ¦µÄ´óС£¬×÷³öÁ¦F1¡¢F2¡¢FµÄͼʾ£®

¢ÚÓÃ×÷ͼµÄ·½·¨Çó³öF1¡¢F2µÄºÏÁ¦F¡ä£®

£¨1£©d:λÖÃO£¨2·Ö£©

f£º¸Ä±äÁ½¸öÁ¦µÄ´óС£¬ÖØ×ö¼¸´Î£® £¨2·Ö£©

£¨2£©¢Ù¡¢¢ÚÈçͼËùʾ£®£¨×÷ͼҪÇó£ºÒ»¶¨ÒªÍ³Ò»±ê¶È£»Ò»¶¨ÒªÓÿ̶ȳß×÷ͼ£»¿Ì¶ÈÒª¾¡¿ÉÄÜ׼ȷ£»ÇóF1¡¢F2µÄºÏÁ¦Ê±Ò»¶¨ÒªÓÃƽÐÐËıßÐζ¨Ôò×÷ͼ£®£©£¨2·Ö£©

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

ÔÚ×ö¡¶ÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨Ôò¡·ÊµÑéʱÒÔÏÂ˵·¨ÖдíÎóµÄÓУ¨¡¡¡¡£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

×ö¡°ÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨Ôò¡±ÊµÑéʱ£¬ÆäÖеÄÈý¸ö²½ÖèÊÇ£º
¢ÙÔÚˮƽ·ÅÖõÄľ°åÉϵæÒ»ÕÅ°×Ö½£¬°ÑÏðƤÌõµÄÒ»¶Ë¹Ì¶¨ÔÚľ°åÉÏ£¬ÁíÒ»¶ËË©Á½¸ùϸ
Ïߣ¬Í¨¹ýϸÏßͬʱÓÃÁ½¸öµ¯»É²âÁ¦¼Æ»¥³É½Ç¶ÈµØÀ­ÏðƤÌõ£¬Ê¹ËüÓëϸÏߵĽáµãµ½´ïijһλÖÃOµã£¬ÔÚ°×Ö½ÉϼÇÏÂOµãºÍÁ½µ¯»É²âÁ¦¼ÆµÄ¶ÁÊýF1ºÍF2
¢ÚÔÚÖ½Éϸù¾ÝF1ºÍF2µÄ´óС£¬Ó¦ÓÃƽÐÐËıßÐζ¨Ôò×÷ͼÇó³öºÏÁ¦F
¢ÛÖ»ÓÃÒ»¸öµ¯»É²âÁ¦¼Æͨ¹ýϸÉþÀ­ÏðƤÌõ£¬Ê¹ËüµÄÉ쳤Á¿ÓëÓÃÁ½¸öµ¯»É²âÁ¦¼ÆÒ»ÆðÀ­
ʱÏàͬ£¬¼ÇÏ´Ëʱµ¯»É²âÁ¦¼ÆµÄ¶ÁÊýF¡¯ºÍϸÉþµÄ·½Ïò£®
£¨1£©ÒÔÉÏÈý¸ö²½ÖèÖоùÓÐÊè©£¬ÇëÕÒ³ö²¢¸üÕý
ÔÚ¢ÙÖÐ
»¹Ó¦¸Ã¼ÇÏÂÁ½¸ùϸÏߵķ½Ïò
»¹Ó¦¸Ã¼ÇÏÂÁ½¸ùϸÏߵķ½Ïò

ÔÚ¢ÚÖÐ
ÔÚÖ½Éϸù¾ÝF1ºÍF2µÄ´óСºÍ·½Ïò
ÔÚÖ½Éϸù¾ÝF1ºÍF2µÄ´óСºÍ·½Ïò

ÔÚ¢ÛÖÐ
ʹÏðƤÌõÓëϸÏߵĽáµãÈÔÈ»µ½Oµã
ʹÏðƤÌõÓëϸÏߵĽáµãÈÔÈ»µ½Oµã
                                   
£¨2£©ÈçͼËùʾΪËÄλͬѧÔÚ¡°ÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨Ôò¡±µÄʵÑéÖÐËù×÷µÄͼʾ£¬F1ºÍF2ÊÇÁ½¸öµ¯»É³ÓͬʱÀ­ÏðƤÌõʱµÄÁ¦µÄͼʾ£¬FÊǸù¾ÝƽÐÐËıßÐζ¨Ôò×÷³öµÄF1ºÍF2µÄºÏÁ¦µÄͼʾ£¬F¡äÊÇÒ»¸öµ¯»É³Óµ¥¶ÀÀ­ÏðƤÌõʱµÄÁ¦µÄͼʾ£¬ÆäÖдíÎóµÄͼÊÇ£º
B
B

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

ÔÚ×ö¡°ÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨Ôò¡±ÊµÑéʱ£¬ÏðƤÌõµÄÒ»¶Ë¹Ì¶¨ÔÚľ°åÉÏ£¬ÓÃÁ½¸öµ¯»É³Ó°ÑÏðƤÌõÁíÒ»¶ËÀ­µ½Ä³Ò»Î»ÖÃOµã£¬ÒÔϲÙ×÷²»ÕýÈ·µÄÊÇ£¨¡¡¡¡£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

ÒÔÏÂÊÇһЩÓйظßÖÐÎïÀíʵÑéµÄÃèÊö£¬ÆäÖÐÕýÈ·µÄÊÇ
¢Ú¢Û
¢Ú¢Û
£®£¨ÌîдÕýȷ˵·¨Ç°ÃæµÄÐòºÅ£©
¢ÙÔÚ¡°Ñо¿ÔȱäËÙÖ±ÏßÔ˶¯¡±ÊµÑéÖÐͨ¹ýÖ½´øÉÏ´òϵÄһϵÁеã¿ÉÖ±½ÓÇó³ö´òÏÂÈÎÒâÒ»µãʱֽ´øµÄ˲ʱËٶȴóС
¢ÚÔÚ¡°ÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨Ôò¡±ÊµÑéÖÐÀ­ÏðƤ½îµÄϸÉþÒªÉÔ³¤£¬²¢ÇÒʵÑéʱҪʹµ¯»ÉÓëľ°åƽÃæƽÐÐ
¢ÛÔÚ¡°Óõ¥°Ú²â¶¨ÖØÁ¦¼ÓËٶȡ±ÊµÑéÖÐÈç¹û°Ú³¤²âÁ¿ÎÞÎ󣬵«²âµÃµÄgֵƫС£¬ÆäÔ­Òò¿ÉÄÜÊǽ«È«Õñ¶¯µÄ´ÎÊýnÎó¼ÆΪn-1
¢ÜÔÚ¡°ÑéÖ¤»úеÊغ㶨ÂÉ¡±µÄʵÑéÖÐÐèÒªÓÃÌìƽ²âÎïÌ壨ÖØ´¸£©µÄÖÊÁ¿£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

£¨1£©¡°ÑéÖ¤Á¦µÄƽÐÐËıßÐζ¨Ôò¡±ÊµÑéÖУº¾«Ó¢¼Ò½ÌÍø
¢Ù²¿·ÖʵÑé²½ÖèÈçÏ£¬ÇëÍê³ÉÓйØÄÚÈÝ£º
A£®½«Ò»¸ùÏðƤ½îµÄÒ»¶Ë¹Ì¶¨ÔÚÌùÓа×Ö½µÄÊúֱƽÕûľ°åÉÏ£¬ÁíÒ»¶Ë°óÉÏÁ½¸ùϸÏߣ®
B£®ÔÚÆäÖÐÒ»¸ùϸÏß¹ÒÉÏ5¸öÖÊÁ¿ÏàµÈµÄ¹³Â룬ʹÏðƤ½îÀ­É죬Èçͼ1Ëùʾ£¬¼Ç¼£º
 
¡¢
 
¡¢
 
£®
C£®½«²½ÖèBÖеĹ³ÂëÈ¡Ï£¬·Ö±ðÔÚÁ½¸ùϸÏßÉϹÒÉÏ4¸öºÍ3¸öÖÊÁ¿ÏàµÈµÄ¹³Â룬ÓÃÁ½¹â»¬Ó²°ôB¡¢CʹÁ½Ï¸Ïß»¥³É½Ç¶È£¬Èçͼ2Ëùʾ£¬Ð¡Ðĵ÷ÕûB¡¢CµÄλÖã¬Ê¹
 
£¬¼Ç¼
 
£®
¢ÚÈç¹û¡°Á¦µÄƽÐÐËıßÐζ¨Ôò¡±µÃµ½ÑéÖ¤£¬ÄÇôͼ2ÖÐ
cos¦Ácos¦Â
=
 
£®
£¨2£©Èçͼ3Ëùʾ£¬ÔÚ¡°Ì½¾¿µç³Ø¸ÐÓ¦ÏÖÏóµÄ¡±ÊµÑéÖУ¬µç·Á¬½ÓÕýÈ·£®ºÏÉϵç¼üʱ£¬·¢ÏÖµçÁ÷¼ÆÖ¸ÕëÏòÓÒÆ«£¬Ôòµ±»¬Æ¬Ïò×󻬶¯Ê±µçÁ÷¼ÆÖ¸ÕëÏò
 
 Æ«£¬°ÑL1µÄÌúо³é³öʱÏò
 
Æ«£®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸