Ò»¿é²£Á§×©ÓÐÁ½¸öÏ໥ƽÐеıíÃ棬ÆäÖÐÒ»¸ö±íÃæÊǶÆÒøµÄ£¨¹âÏß²»ÄÜͨ¹ý´Ë±íÃ棩.ÏÖÒª²â¶¨´Ë²£Á§µÄÕÛÉäÂÊ.¸ø¶¨µÄÆ÷²Ä»¹ÓУº°×Ö½¡¢Ç¦±Ê¡¢´óÍ·Õë4ö£¨P1¡¢P2¡¢P3¡¢P4£©¡¢´øÓп̶ȵÄÖ±½ÇÈý½Ç°å¡¢Á¿½ÇÆ÷.

    ʵÑéʱ£¬ÏȽ«²£Á§×©·Åµ½°×Ö½ÉÏ£¬Ê¹ÉÏÊöÁ½¸öÏ໥ƽÐеıíÃæÓëÖ½Ãæ´¹Ö±.ÔÚÖ½ÉÏ»­³öÖ±Ïßaa¡äºÍbb¡ä£¬aa¡ä±íʾ¶ÆÒøµÄ²£Á§±íÃ棬bb¡ä±íʾÁíÒ»±íÃ棬Èçͼ5-4-4Ëùʾ.È»ºó£¬ÔÚ°×Ö½ÉÏÊúÖ±²åÉÏÁ½Ã¶´óÍ·ÕëP1¡¢P2£¨Î»ÖÃÈçͼ£©.ÓÃP1¡¢P2µÄÁ¬Ïß±íʾÈëÉä¹âÏß.

ͼ5-4-4

i.ΪÁ˲âÁ¿ÕÛÉäÂÊ£¬Ó¦ÈçºÎÕýȷʹÓôóÍ·ÕëP3¡¢P4£¿

ÊÔÔÚÌâͼÖбê³öP3¡¢P4µÄλÖÃ.

ii.È»ºó£¬ÒÆÈ¥²£Á§×©Óë´óÍ·Õë.ÊÔÔÚÌâͼÖÐͨ¹ý×÷ͼµÄ·½·¨±ê³ö¹âÏß´Ó¿ÕÆøµ½²£Á§ÖеÄÈëÉä½Ç¦È1ÓëÕÛÉä½Ç¦È2.¼òҪд³ö×÷ͼ²½Öè.

iii.д³öÓæÈ1¡¢¦È2±íʾµÄÕÛÉäÂʹ«Ê½Îªn=_____________.

½âÎö£º±¾ÊµÑéÓë½Ì²ÄÖС°²â²£Á§×©ÕÛÉäÂÊ¡±ÊµÑé±È½Ï£¬Æ÷²Ä·¢ÉúÁ˱仯£¬²£Á§×©ÓÉÁ½¸ö͸¹â±íÃ棬±ä³ÉÁËÒ»¸ö͸¹â£¬Ò»¸ö·´Éä¹â.¸ù¾Ý·´É䶨ÂÉ¡¢ÕÛÉ䶨ÂÉÖª£¬ÎïÌå·¢ÉúµÄ¹â¾­²£Á§×©ºóµÄ¹â·Èçͼ5-4-5£¬Óë½Ì²ÄʵÑéÔ­Àí¡¢·½·¨Àà±È£¬ÎÒÃÇÖªµÀÒª²â¶¨²£Á§×©µÄÕÛÉäÂÊ£¬ÐëÈ·¶¨½øÈëשµÄÕÛÉä¹âÏß¼´È·¶¨·´ÉäµãN.½èÓá°²åÕë·¨¡±¿ÉÈ·¶¨³öÉä¹âÏߣ¬³öÉäµãO¡ä£¬ÀûÓõãNÔÚµãOO¡äÖ±ÏßµÄÖÐÖØÏßÉÏ¿ÉÈ·¶¨Nµã£¬½ø¶øµÃµ½ÈëÉä½Ç¦È1ÓëÕÛÉä½Ç¦È2£¬ÔòÕÛÉäÂÊn=.

ͼ5-4-5

´ð°¸£ºi.ÔÚbb¡äÒ»²à¹Û²ìP1¡¢P2£¨¾­¹ýbb¡äÕÛÉäaa¡ä·´É䣬ÔÙ¾­bb¡äÕÛÉäºó£©µÄÏñ£¬ÔÚÊʵ±µÄλÖòåÉÏP3£¬Ê¹µÃP3ÓëP1¡¢P2µÄÏñÔÚÒ»ÌõÖ±ÏßÉÏ£¬¼´ÈÃP3µ²×¡P1¡¢P2µÄÏñ£»ÔÙ²åÉÏP4£¬ÈÃËüµ²×¡P3£¨»òP1£©µÄÏñºÍP3.P3¡¢P4µÄλÖÃÈçͼ.

ii.¢Ù¹ýP1¡¢P2×÷Ö±ÏßÓëbb¡ä½»ÓÚO£»

¢Ú¹ýP3¡¢P4×÷Ö±ÏßÓëbb¡ä½»ÓÚO¡ä£»

¢ÛÀûÓÿ̶ȳßÕÒµ½OO¡äµÄÖеãM£»

¢Ü¹ýOµã×÷bb¡äµÄ´¹ÏßCD£¬¹ýMµã×÷bb¡äµÄ´¹ÏßÓëaa¡äÏཻÓÚN£¬ÈçͼËùʾ£¬Á¬½ÓON£»

¢Ý¡ÏP1OD=¦È1£¬¡ÏCON=¦È2.

iii.n=sin¦È1/sin¦È2.


Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

¾«Ó¢¼Ò½ÌÍøÒ»¿é²£Á§×©ÓÐÁ½¸öÏ໥ƽÐеıíÃ棬ÆäÖÐÒ»¸ö±íÃæÊǶÆÒøµÄ£¨¹âÏß²»ÄÜͨ¹ý´Ë±íÃ棩£®ÏÖÒª²â¶¨´Ë²£Á§µÄÕÛÉäÂÊ£®¸ø¶¨µÄÆ÷²Ä»¹ÓУº°×Ö½¡¢¸Ö±Ê¡¢´óÍ·Õë4ö£¨P1¡¢P2¡¢P3¡¢P4£©¡¢´øÓп̶ȵÄÖ±½ÇÈý½Ç°å¡¢Á¿½ÇÆ÷£®ÊµÑéʱ£¬ÏȽ«²£Á§×©·Åµ½°×Ö½ÉÏ£¬Ê¹ÉÏÊöÁ½¸öÏ໥ƽÐеıíÃæÓëÖ½Ãæ´¹Ö±£®ÔÚÖ½ÉÏ»­³öÖ±Ïßaa¡äºÍbb¡ä£¬aa¡ä±íʾ¶ÆÒøµÄ²£Á§±íÃ棬bb¡ä±íʾÁíÒ»±íÃ棬Ȼºó£¬ÔÚ°×Ö½ÉÏÊúÖ±²åÉÏÁ½Ã¶´óÍ·ÕëP1¡¢P2£¬ÈçͼËùʾ£¬ÓÃP1¡¢P2µÄÁ¬Ïß±íʾÈëÉä¹âÏߣ®
£¨1£©ÎªÁ˲âÁ¿ÕÛÉäÂÊ£¬Ó¦ÈçºÎÕýÈ·ÓôóÍ·ÕëP3¡¢P4£¿ÊÔÔÚÌâͼÖбê³öP3¡¢P4µÄλÖã®
£¨2£©È»ºó£¬ÒÆÈ¥²£Á§×©Óë´óÍ·Õ룮ÊÔÔÚÌâͼÖÐͨ¹ý×÷ͼµÄ·½·¨±ê³ö¹âÏß´Ó¿ÕÆøµ½²£Á§ÖеÄÈëÉä½Ç¦È1ÓëÕÛÉä½Ç¦È2£®¼òҪд³ö×÷ͼ²½Ö裮
£¨3£©Ð´³öÓæÈ1¡¢¦È2±íʾµÄÕÛÉäÂʹ«Ê½Îªn=
 
£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

¾«Ó¢¼Ò½ÌÍøÒ»¿é²£Á§×©ÓÐÁ½¸öÏ໥ƽÐеıíÃ棬ÆäÖÐÒ»¸ö±íÃæÊǶÆÒøµÄ£¨¹âÏß²»ÄÜͨ¹ý±íÃ棩£®ÏÖÒª²â¶¨´Ë²£Á§×©µÄÕÛÉäÂÊ£®¸ø¶¨µÄÆ÷²Ä»¹ÓУº°×Ö½¡¢Ç¦±Ê¡¢´óÍ·Õë4 Ã¶£¨P1¡¢P2¡¢P3¡¢P4£©´øÓп̶ȵÄÖ±½ÇÈý½Ç°å¡¢Á¿½ÇÆ÷£®
¸ù¾ÝÌâÄ¿µÄÒªÇó²¹³äʵÑéµÄ²½Ö裺
£¨ a £©ÏȽ«²£Á§×©·Åµ½°×Ö½ÉÏ£¬Ê¹ÉÏÊöÁ½¸öÏ໥ƽÐеıíÃæÓëÖ½Ãæ´¹Ö±£»
£¨ b £©ÔÚÖ½ÉÏ»­³öÖ±Ïßaa¡äºÍbb¡ä£¬aa¡ä±íʾ¶ÆÒøµÄ²£Á§±íÃ棬bb¡ä±íʾÁíÒ»±íÃ棬ÈçͼËùʾ£»
£¨ c £©
 
£»
£¨ d £©
 
£»
£¨ e £©ÒÆÈ¥²£Á§×©Óë´óÍ·Õ룮ÔÚÌâͼÖл­³ö¹â·ͼ£»
£¨ g £©ÈôÓæÈ1±íʾ¹âÏß½øÈë²£Á§×©Ê±µÄÈëÉä½Ç£¬ÓæÈ2±íʾ¹âÏß½øÈ˲£Á§×©Ê±µÄÕÛÉä½Ç£®Çëд³öÓæÈ1¡¢¦È2±íʾµÄ¸Ã²£Á§×©µÄÕÛÉäÂÊΪn=
 
£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

Ò»¿é²£Á§×©ÓÐÁ½¸öÏ໥ƽÐеıíÃ棬ÆäÖÐÒ»¸ö±íÃæÊǶÆÒøµÄ£¨¹âÏß²»ÄÜͨ¹ý±íÃ棩.ÏÖÒª²â¶¨´Ë²£Á§µÄÕÛÉäÂÊ.¸ø¶¨µÄÆ÷²Ä»¹ÓУº°×Ö½¡¢Ç¦±Ê¡¢´óÍ·Õë4ö£¨P1¡¢P2¡¢P3¡¢P4£©¡¢´øÓп̶ȵÄÖ±½ÇÈý½Ç°å¡¢Á¿½ÇÆ÷.

ʵÑéʱ£¬ÏȽ«²£Á§×©·Åµ½°×Ö½ÉÏ£¬Ê¹ÉÏÊöÁ½¸öÏ໥ƽÐеıíÃæÓëÖ½Ãæ´¹Ö±.ÔÚÖ½ÉÏ»­³öÖ±Ïßaa¡äºÍbb¡ä£¬aa¡ä±íʾ¶ÆÒøµÄ²£Á§±íÃ棬bb¡ä±íʾÁíÒ»±íÃ棬ÈçͼËùʾ.È»ºó£¬ÔÚ°×Ö½ÉÏÊúÖ±²åÉÏÁ½Ã¶´óÍ·ÕëP1¡¢P2£¨Î»ÖÃÈçͼ13-1-21£©.ÓÃP1¡¢P2µÄÁ¬Ïß±íʾÈëÉä¹âÏß.

ͼ13-1-21

£¨1£©ÎªÁ˲âÁ¿ÕÛÉäÂÊ£¬Ó¦ÈçºÎÕýȷʹÓôóÍ·ÕëP3¡¢P4£¿

______________________________________________________________________________.

ÊÔÔÚÌâͼÖбê³öP3¡¢P4µÄλÖÃ.

£¨2£©È»ºó£¬ÒÆÈ¥²£Á§×©Óë´óÍ·Õë.ÊÔÔÚÌâͼÖÐͨ¹ý×÷ͼµÄ·½·¨±ê³ö¹âÏß´Ó¿ÕÆøµ½²£Á§ÖеÄÈëÉä½Ç¦È1ÓëÕÛÉä½Ç¦È2.¼òҪд³ö×÷ͼ²½Öè.

_____________________________________________________________________________________________________________________________________________________________.

£¨3£©Ð´³ö¦È1¡¢¦È2±íʾµÄÕÛÉäÂʹ«Ê½Îªn=______________________.

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º ÌâÐÍ£º

Ò»¿é²£Á§×©ÓÐÁ½¸öÏ໥ƽÐеıíÃ棬ÆäÖÐÒ»¸ö±íÃæÊǶÆÒø

µÄ(¹âÏß²»ÄÜͨ¹ý´Ë±íÃæ)£®ÏÖÒª²â¶¨´Ë²£Á§µÄÕÛÉäÂÊ£®¸ø

¶¨µÄÆ÷²Ä»¹ÓУº°×Ö½¡¢Ç¦±Ê¡¢´óÍ·Õë4ö(P1¡¢P2¡¢P3¡¢P4)¡¢

´øÓп̶ȵÄÖ±½ÇÈý½Ç°å¡¢Á¿½ÇÆ÷£®

ʵÑéʱ£¬ÏȽ«²£Á§×©·Åµ½°×Ö½ÉÏ£¬Ê¹ÉÏÊöÁ½¸öÏ໥ƽÐеÄ

±íÃæÓëÖ½Ãæ´¹Ö±£®ÔÚÖ½ÉÏ»­³öÖ±Ïßaa¡äºÍbb¡ä£¬aa¡ä±íʾ¶ÆÒøµÄ²£Á§±íÃ棬bb¡ä±í

ʾÁíÒ»±íÃ棬Èçͼʵ£­1£­9Ëùʾ£®È»ºó£¬ÔÚ°×Ö½ÉÏÊúÖ±²åÉÏÁ½Ã¶´óÍ·ÕëP1¡¢P2(λÖÃ

Èçͼ)£®ÓÃP1¡¢P2µÄÁ¬Ïß±íʾÈëÉä¹âÏߣ®

(1)ΪÁ˲âÁ¿ÕÛÉäÂÊ£¬Ó¦ÈçºÎÕýȷʹÓôóÍ·ÕëP3¡¢P4?

________________________________________________________________________

________________________________________________________________________.

(ÊÔÔÚͼʵ£­1£­9Öбê³öP3¡¢P4µÄλÖÃ)

(2)È»ºóÒÆÈ¥²£Á§×©Óë´óÍ·Õ룮ÊÔÔÚͼʵ£­1£­9ÖÐͨ¹ý×÷ͼµÄ·½·¨±ê³ö¹âÏß´Ó¿ÕÆøµ½

²£Á§ÖеÄÈëÉä½Ç¦È1ÓëÕÛÉä½Ç¦È2.¼òҪд³ö×÷ͼ²½Ö裮

________________________________________________________________________

________________________________________________________________________.

(3)д³öÓæÈ1¡¢¦È2±íʾµÄÕÛÉäÂʹ«Ê½Îªn£½________.

¡¾½âÎö¡¿£º(1)ÔÚbb¡äÒ»²à¹Û²ìP1¡¢P2(¾­bb¡äÕÛÉä¡¢aa¡ä·´É䣬ÔÙ¾­bb¡äÕÛÉäºó)µÄÏñ£¬

ÔÚÊʵ±µÄλÖòåÉÏP3£¬Ê¹µÃP3ÓëP1¡¢P2µÄÏñÔÚÒ»ÌõÖ±ÏßÉÏ£¬¼´ÈÃP3µ²×¡P1¡¢P2µÄ

Ïñ£»ÔÙ²åÉÏP4£¬ÈÃËüµ²×¡P2¼°P1µÄÏñºÍP3.P3¡¢P4µÄλÖÃÈçͼËùʾ£®

(2)¢Ù¹ýP1¡¢P2×÷Ö±ÏßÓëbb¡ä½»ÓÚO£»

¢Ú¹ýP3¡¢P4×÷Ö±ÏßÓëbb¡ä½»ÓÚO¡ä£»

¢ÛÀûÓÿ̶ȳßÕÒµ½OO¡äµÄÖеãM£»

¢Ü¹ýOµã×÷bb¡äµÄ´¹ÏßCD£¬¹ýMµã×÷bb¡äµÄ´¹ÏßÓëaa¡äÏཻÓÚN£¬ÈçͼËùʾ£¬

Á¬½ÓON£»

¢Ý¡ÏP1OD£½¦È1£¬¡ÏCON£½¦È2.

(3)ÓÉÕÛÉäÂʵĶ¨Òå¿ÉµÃn£½.

 

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÎïÀí À´Ô´£º2012½ìÈ˽̰æ¸ßÈýÎïÀí²â¶¨²£Á§ÕÛÉäÂÊרÏîѵÁ· ÌâÐÍ£ºÑ¡ÔñÌâ

Ò»¿é²£Á§×©ÓÐÁ½¸öÏ໥ƽÐеıíÃ棬ÆäÖÐÒ»¸ö±íÃæÊǶÆÒø

µÄ(¹âÏß²»ÄÜͨ¹ý´Ë±íÃæ)£®ÏÖÒª²â¶¨´Ë²£Á§µÄÕÛÉäÂÊ£®¸ø

¶¨µÄÆ÷²Ä»¹ÓУº°×Ö½¡¢Ç¦±Ê¡¢´óÍ·Õë4ö(P1¡¢P2¡¢P3¡¢P4)¡¢

´øÓп̶ȵÄÖ±½ÇÈý½Ç°å¡¢Á¿½ÇÆ÷£®

ʵÑéʱ£¬ÏȽ«²£Á§×©·Åµ½°×Ö½ÉÏ£¬Ê¹ÉÏÊöÁ½¸öÏ໥ƽÐеÄ

±íÃæÓëÖ½Ãæ´¹Ö±£®ÔÚÖ½ÉÏ»­³öÖ±Ïßaa¡äºÍbb¡ä£¬aa¡ä±íʾ¶ÆÒøµÄ²£Á§±íÃ棬bb¡ä±í

ʾÁíÒ»±íÃ棬Èçͼʵ£­1£­9Ëùʾ£®È»ºó£¬ÔÚ°×Ö½ÉÏÊúÖ±²åÉÏÁ½Ã¶´óÍ·ÕëP1¡¢P2(λÖÃ

Èçͼ)£®ÓÃP1¡¢P2µÄÁ¬Ïß±íʾÈëÉä¹âÏߣ®

(1)ΪÁ˲âÁ¿ÕÛÉäÂÊ£¬Ó¦ÈçºÎÕýȷʹÓôóÍ·ÕëP3¡¢P4?

________________________________________________________________________

________________________________________________________________________.

(ÊÔÔÚͼʵ£­1£­9Öбê³öP3¡¢P4µÄλÖÃ)

(2)È»ºóÒÆÈ¥²£Á§×©Óë´óÍ·Õ룮ÊÔÔÚͼʵ£­1£­9ÖÐͨ¹ý×÷ͼµÄ·½·¨±ê³ö¹âÏß´Ó¿ÕÆøµ½

²£Á§ÖеÄÈëÉä½Ç¦È1ÓëÕÛÉä½Ç¦È2.¼òҪд³ö×÷ͼ²½Ö裮

________________________________________________________________________

________________________________________________________________________.

(3)д³öÓæÈ1¡¢¦È2±íʾµÄÕÛÉäÂʹ«Ê½Îªn£½________.

¡¾½âÎö¡¿£º(1)ÔÚbb¡äÒ»²à¹Û²ìP1¡¢P2(¾­bb¡äÕÛÉä¡¢aa¡ä·´É䣬ÔÙ¾­bb¡äÕÛÉäºó)µÄÏñ£¬

ÔÚÊʵ±µÄλÖòåÉÏP3£¬Ê¹µÃP3ÓëP1¡¢P2µÄÏñÔÚÒ»ÌõÖ±ÏßÉÏ£¬¼´ÈÃP3µ²×¡P1¡¢P2µÄ

Ïñ£»ÔÙ²åÉÏP4£¬ÈÃËüµ²×¡P2¼°P1µÄÏñºÍP3.P3¡¢P4µÄλÖÃÈçͼËùʾ£®

(2)¢Ù¹ýP1¡¢P2×÷Ö±ÏßÓëbb¡ä½»ÓÚO£»

¢Ú¹ýP3¡¢P4×÷Ö±ÏßÓëbb¡ä½»ÓÚO¡ä£»

¢ÛÀûÓÿ̶ȳßÕÒµ½OO¡äµÄÖеãM£»

¢Ü¹ýOµã×÷bb¡äµÄ´¹ÏßCD£¬¹ýMµã×÷bb¡äµÄ´¹ÏßÓëaa¡äÏཻÓÚN£¬ÈçͼËùʾ£¬

Á¬½ÓON£»

¢Ý¡ÏP1OD£½¦È1£¬¡ÏCON£½¦È2.

(3)ÓÉÕÛÉäÂʵĶ¨Òå¿ÉµÃn£½.

 

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸