²âÁ¿ÀíÂÛÊÔÌâ»ã×Ü ÏÂÔر¾ÎÄ

B£® ¸ß³ÌÊǵØÃæµãµ½´óµØË®×¼ÃæµÄǦ´¹¾àÀë C£® ¸ß³ÌÊǵØÃæµãµ½²Î¿¼ÍÖÇòÃæµÄ¾àÀë D. ¸ß³ÌÊǵØÃæµãµ½Æ½¾ùº£Ë®ÃæµÄ¾àÀë

Èý¡¢¶àÏîÑ¡ÔñÌ⣨15¡Á2·Ö=30·Ö£©

1¡¢ÓÃÕýµ¹¾µ·ÖÖз¨ÑÓ³¤Ö±Ïߣ¬¿ÉÒÔÏû³ý»ò¼õÉÙÎó²îµÄÓ°Ï죨 £©¡£¡¾¸ÃÌâÉæ¼°¸½¼þ1.3ÄÚÈÝ¡¿ A .2C B .ÊÓ×¼Öá²»´¹Ö±ÓÚºáÖá C.ºáÖá²»´¹Ö±ÓÚÒÇÆ÷ÊúÖá

2¡¢±ÕºÏµ¼Ïߺ͸½ºÏµ¼ÏßÄÚÒµ¼ÆËãµÄ²»Í¬µãÊÇ£¨ £©¡£¡¾¸ÃÌâÉæ¼°¸½¼þ2.2ÄÚÈÝ¡¿ A. ½Ç¶È±ÕºÏ²î¼ÆËã·½·¨²»Í¬ B. µ¼ÏßÈ«³¤Ïà¶Ô±ÕºÏ²î¼ÆËã·½·¨²»Í¬ C. ×ø±êÔöÁ¿±ÕºÏ²î¼ÆËã·½·¨²»Í¬ D. µ¼ÏßÈ«³¤±ÕºÏ²î¼ÆËã·½·¨²»Í¬ E. ·½Î»½ÇÍÆËã·½·¨²»Í¬

3¡¢ÏÂÁйØÓÚÍâ½çÌõ¼þ¶Ô¹Û²âµÄÓ°ÏìµÄÐðÊö£¬ÕýÈ·µÄÓУ¨ £©¡£¡¾¸ÃÌâÉæ¼°¸½¼þ2.2ÄÚÈÝ¡¿ A. ´óÆø²ãÊܵØÃæ·øÉäÈȵÄÓ°Ïì»áÒýÆðÕÕ×¼Îó²î B. ÈÕÕÕ¡¢Î¶ȡ¢´ó·ç¶Ô½Ç¶È¹Û²âûÓÐÓ°Ïì C. µØÃæËÉÈíºÍ´ó·çÓ°ÏìÒÇÆ÷µÄÎȶ¨ D. ÈÕÕÕºÍζÈÓ°ÏìË®×¼¹ÜÆøÅݵľÓÖÐ

E. ²ÉÓþ­Î³ÒǽøÐвâ½Çʱ£¬¿ÉÒÔ¿ÕÆøÇåÎú¶ÈºÃµÄÇçÌì½øÐй۲⣬ÒÔ±ãÌá¸ß¹Û²â³É¹ûµÄÖÊÁ¿¡£ 4¡¢Ë®Æ½½Ç¹Û²âʱ²ÉÓÃÅÌ×ó¡¢ÅÌÓÒÁ½¸öλÖù۲â¿ÉÏû³ý£¨ £©¡£¡¾¸ÃÌâÉæ¼°¸½¼þ1.3ÄÚÈÝ¡¿ A.ÕÕ×¼Îó²î B. ÊÓ×¼ÖáÎó²î C.¶ÈÅÌÆ«ÐÄÎó²î D.¶ÈÅÌ¿Ì»®Îó²î E. ºáÖáÎó²î

5¡¢ÏÂÁÐÑ¡ÏîÖУ¬£¨ £©ÊôÓÚ¹Û²âÎó²î¡£¡¾¸ÃÌâÉæ¼°¸½¼þ1.5ÄÚÈÝ¡¿ A.¶ÔÖÐÎó²î B.Ä¿±êÆ«ÐÄÎó²î C.ÕÕ×¼Îó²î D.¶ÁÊýÎó²î E.ÊÓ×¼ÖáÎó²î

6¡¢Ê©¹¤¿ØÖÆÍøÖ÷ÒªÓÐÏÂÃ漸ÖÖÀàÐÍ( )¡£¡¾¸ÃÌâÉæ¼°¸½¼þ2.2ÄÚÈÝ¡¿ A.Èý½ÇÍø B.µ¼ÏßÍø C.·½¸ñÍø D.ÖØÁ¦Íø

7¡¢ÔÚ¿ØÖƲâÁ¿ÖÐ,¶¼ÊÇÒÔ( )×÷Ϊ¼ÆËãµÄ»ù×¼Ãæ,¶øʵ¼Ê²âÁ¿Ê±¶¼ÊÇÒÔ( )Ϊ׼µÄ¡£¡¾¸ÃÌâÉæ¼°¸½¼þ2.2ÄÚÈÝ¡¿

A.²Î¿¼ÍÖÇòÃæ B.µØÃæ C. ²Î¿¼Ãæ D.´óµØË®×¼Ãæ 8¡¢ÎÒ¹úÓÉ( )ºÍ( )À´ºâÁ¿Ò»×é¹Û²â½á¹ûµÄ¾«¶È¡£¡¾¸ÃÌâÉæ¼°¸½¼þ1.5ÄÚÈÝ¡¿ A.ÖÐÎó²î B.ϵͳÎó²î C.Ïà¶ÔÎó²î D.żȻÎó²î 9¡¢¹Û²âˮƽ½ÇµÄ¹Û²â·½·¨ÓУ¨ £©¡£¡¾¸ÃÌâÉæ¼°¸½¼þ1.3ÄÚÈÝ¡¿ A.²â»Ø·¨ B.·½Ïò¹Û²â·¨ C.·½Î»½Ç¹Û²â·¨ D.È«Ô²²â»Ø·¨ 10¡¢Ë®×¼ÒǵļìÑéÓëУÕý°üÀ¨£¨ £©¡£¡¾¸ÃÌâÉæ¼°¸½¼þ1.2ÄÚÈÝ¡¿ A.Բˮ׼Æ÷ÖáƽÐÐÓÚÒÇÆ÷ÊúÖá B.Ê®×ÖË¿ÖÐË¿´¹Ö±ÓÚÒÇÆ÷ C.Ë®×¼¹ÜÖáƽÐÐÓÚÊÓ×¼Öá D.Ë®×¼¹ÜÖá(LL)¡ÍÊúÖá(VV)µÄ¼ìУ 11¡¢ÔÚ²âÁ¿ÖÐÆÀ¶¨¾«¶ÈµÄÖ¸±êÓÐÏÂÁм¸ÖÖ¡££¨ £©¡£¡¾¸ÃÌâÉæ¼°¸½¼þ4ÄÚÈÝ¡¿ A.ÖÐÎó²î B.Ïà¶ÔÎó²î C.¼«ÏÞÎó²î D.ÈÝÐíÎó²î

12¡¢±äÐμà²âÊý¾Ý·ÖÎöµÄ·½·¨ÓУ¨ £©¡£¡¾¸ÃÌâÉæ¼°¸½¼þ3.2ÄÚÈÝ¡¿ A.Ë«ÇúÏß·¨ B.²´ËÉÇúÏß·¨ C.Ö¸ÊýÇúÏß·¨ D.Å×ÎïÏß·¨ 13¡¢Æ½ÃæλÖ÷ÅÑùµÄ·½·¨ÓÐÏÂÃæÄǼ¸ÖÖ£¨ £©

A¡¢Ö±½Ç×ø±ê·¨ B¡¢¼«×ø±ê·¨ C¡¢½Ç¶È½»»á·¨ D¡¢½Ç±ß½»»á·¨ 14¡¢¾­Î³ÒǵĹ۲âÎó²î°üÀ¨£¨ £©¡£¡¾¸ÃÌâÉæ¼°¸½¼þ1.3ÄÚÈÝ¡¿ A.¶ÈÅÌÆ«ÐÄÎó²î B.Ä¿±êÆ«ÐÄÎó²î C.ÕÕ×¼¼°¶ÁÊýÎó²î D.²âվƫÐÄÎó²î

15¡¢Ë®×¼²âÁ¿µÄÎó²îÀ´Ô´ÓÐ( )¡£¡¾¸ÃÌâÉæ¼°¸½¼þ1.2ÄÚÈÝ¡¿ A. Ë®×¼¹ÜÆøÅݾÓÖеÄÎó²î B. ÔÚË®×¼³ßÉϵĹÀ¶ÁÎó²î C. Ë®×¼³ßÊúÁ¢²»Ö±µÄÎó²î D. ÒÇÆ÷ºÍË®×¼³ßµÄϳÁÎó²î E. Ë®×¼¹ÜÁéÃô¶È½ÏµÍµÄÎó²î

ËÄ¡¢¼ò´ðÌ⣨5¡Á6·Ö=30·Ö£©

1¡¢Ó°ÏìË®×¼²âÁ¿³É¹ûµÄÖ÷ÒªÒòËØÓÐÄÄЩ£¿ÈçºÎ¼õÉÙ»òÏû³ý£¿¡¾¸ÃÌâÉæ¼°¸½¼þ1.2ÄÚÈÝ¡¿

2¡¢ÉèµØÃæÉÏÒÑÓÐÖ±ÏßOA,ÓûÔÚOµã±ê¶¨³öÖ±ÏßOB,ʹÆäÁ½Ö±ÏßËù¼ÐµÄˮƽ½ÇΪÊÂÏȸø¶¨µÄ(Éè¼ÆµÄ)½ÇÖµ¦Â,¼òÊöÊ©²â²½Öè? ¡¾¸ÃÌâÉæ¼°¸½¼þ3.1ÄÚÈÝ¡¿

3¡¢¼ìÑéÓëУÕýÊúÅÌÖ¸±ê²îµÄ·½·¨ÊÇʲô£¿ ¡¾¸ÃÌâÉæ¼°¸½¼þ1.5ÄÚÈÝ¡¿

4¡¢µ¼Ïß×ø±ê¼ÆËãµÄÒ»°ã²½ÖèÊÇʲô£¿¡¾¸ÃÌâÉæ¼°¸½¼þ2.2ÄÚÈÝ¡¿

?yRAB?arctanAB?xAB5¡¢Óù«Ê½

¼þ2.1ÄÚÈÝ¡¿

ÊÔÌâ²Î¿¼´ð°¸

¼ÆËã³öµÄÏóÏÞ½Ç

RAB£¬ÈçºÎ½«Æä»»ËãΪ×ø±ê·½Î»½Ç?AB£¿¡¾¸ÃÌâÉæ¼°¸½

Ò»¡¢ÅжÏÌ⣨20¡Á1·Ö=20·Ö£©

1¡¢¡Ì 2¡¢¡Ì 3¡¢¡Ì 4¡¢¡Á 5¡¢¡Ì 6¡¢¡Ì 7¡¢¡Ì 8¡¢¡Á 9¡¢¡Ì 10¡¢¡Ì

11¡¢¡Ì 12¡¢¡Ì 13¡¢¡Ì 14¡¢¡Á 15¡¢¡Ì 16¡¢¡Á 17¡¢¡Á 18¡¢¡Ì 19¡¢¡Ì 20¡¢¡Ì

¶þ¡¢µ¥ÏîÑ¡ÔñÌ⣨20¡Á1·Ö=20·Ö£©

1¡¢C 2¡¢D 3¡¢B 4¡¢C 5¡¢A 6¡¢B 7¡¢B 8¡¢B 9¡¢B 10¡¢B

11¡¢C 12¡¢B 13¡¢C 14¡¢B 15¡¢A 16¡¢A 17¡¢A 18¡¢C 19¡¢D 20¡¢B

Èý¡¢¶àÏîÑ¡ÔñÌ⣨15¡Á2·Ö=30·Ö£©

1¡¢ABC 2¡¢AC 3¡¢ACDE 4¡¢BCE 5¡¢ABCD 6¡¢ABC 7¡¢AD

8¡¢AC 9¡¢ABD 10¡¢ABC 11¡¢ABCD 12¡¢ABCD 13¡¢ABCD 14¡¢BCD 15¡¢ABCDE

ËÄ¡¢¼ò´ðÌ⣨5¡Á6·Ö=30·Ö£© Ñϸñ¼ìÑ飬ÕýȷʹÓá£

£¨2£©¹Û²âÎó²î£ºÕûƽÎó²î¡¢ÕÕ×¼Îó²î¡¢¹À¶ÁÎó²î¡¢·ö³ß²»Ö±Îó²î¡£Ïû³ý·½·¨£ºÊ¹Óø߱¶ÍûÔ¶¾µ£¬ÈÏÕæ²Ù×÷¡£ £¨3£©Íâ½çÌõ¼þµÄÓ°Ï죺ÒÇÆ÷ϳÁµÄÎó²î¡¢Ë®×¼³ßϳÁµÄÎó²î¡¢µØÇòÇúÂʺʹóÆøÕÛ¹âµÄÓ°Ïì¡£Ïû³ý·½·¨£ºÇ°ºóÊÓ¾àÏàµÈ£¬Ê¹Óóߵ档

2¡¢´ð£º(1)½«¾­Î³ÒÇ°²ÖÃÔÚOµãÉÏ,¶ÔÖС¢Õûƽºó,ÓÃÅÌ×óλÖÃÃé×¼Aµã,ÅäÖöÈÅÌ0¡ã00'00¡±,˳ʱÕëת¶¯ÕÕ×¼²¿,ʹ¶ÁÊýÇ¡ºÃΪBʱ,Öƶ¯ÕÕ×¼²¿,ÔÚÊÓ×¼Öá·½Ïò±ê¶¨³öB1µã£»

(2)ÓÃÅÌÓÒλÖÃÃé×¼Aµã,ʹ¶ÈÅ̶ÁÊýΪ180¡ã00¡¯00¡±,°´ÉÏÊö·½·¨,ͬÑù²âÉè³öB½Ç,±ê³öB2µã£» (3)ÓÉÓÚÒÇÆ÷Îó²î,Ò»°ãB1ºÍB2²»ÖغÏ,Ôڹ涨ÏÞ²îÄÚ,È¡ÆäÖеãB,Ôò¡ÏAOB¼´ÊÇËùÒª²âÉèµÄˮƽ½ÇB¡£ 3¡¢´ð£º¼ìÑé·½·¨£º½«ÒÇÆ÷Õûƽºó¢ÙÓÃÅÌ×ó¡¢ÅÌÓÒÕÕ׼ͬһĿ±ê£¬ÔÚÊúÅÌÖ¸±êË®×¼¹ÜÆøÅݾÓÖÐʱ£¬·Ö±ð¶ÁÊýLºÍR£»¢Ú°´¹«Ê½x=£¨¦Á×ó-¦ÁÓÒ£©¼ÆËã³öÖ¸±ê²îx£¬Èôx=0£¬±íÃ÷Ìõ¼þÂú×㣬 µ±x>1ʱ£¬Ðè½øÐÐУÕý¡£Ð£Õý·½·¨£º¾­Î³ÒÇλÖò»¶¯£¬ÈÔÓÃÅÌÓÒλÖÃÕÕ×¼Ô­Ä¿±ê£¬¢Ùת¶¯ÊúÅÌÖ¸±êË®×¼¹Ü΢¶¯ÂÝÐý£¬Ê¹Ö¸±ê¶Ô×¼ÊúÅ̶ÁÊýÕýÈ·Öµ£¨R-x£©£¬´ËʱÊúÅÌÖ¸±êË®×¼¹ÜÆøÅݲ»¾ÓÖУ»¢ÚÓÃУÕýÕ벦¶¯Ë®×¼¹ÜУÕýÂÝË¿£¬Ê¹ÆøÅݾÓÖУ¬´ËÏî¼ìÑéÐè·´¸´½øÐУ¬Ö±ÖÁxÔÚÏ޲Χ֮ÄÚΪֹ¡£

Ôľí½Ìʦ

Ôľí½Ìʦ

Ôľí½Ìʦ

Ôľí½Ìʦ

1¡¢´ð£º£¨1£©ÒÇÆ÷Îó²î£ºÒÇÆ÷УÕý²»ÍêÉƵÄÎó²î¡¢¶Ô¹âÎó²î¡¢Ë®×¼³ßÎó²î¡£Ïû³ý·½·¨£ºÇ°ºóÊÓ¾àÏàµÈ£¬ÒÇÆ÷

ffff4¡¢´ð£º¼ÆË㷽λ½Ç±ÕºÏ²î?£¬?

ÍÆËãµ¼Ï߱ߵķ½Î»½Ç£¬¼ÆËãµ¼Ï߱ߵÄ×ø±êÔöÁ¿?x£¬

?y£¬¼ÆËã×ø±êÔöÁ¿±ÕºÏ²îfx£¬fy£¬

K?¼ÆËãÈ«³¤Ïà¶Ô±ÕºÏ²î

fx2?fy2?D£¬Ê½ÖÐ

?DΪµ¼Ï߸÷±ß³¤Ö®ºÍ£¬Èç¹û

K

¼ÆËã¸ÄÕýºóµÄµ¼Ï߱ߵÄ×ø±êÔöÁ¿£¬ÍÆËãδ֪µãµÄƽÃæ×ø±ê¡£ 5¡¢´ð£º

?xAB>0£¬?yAB>0ʱ£¬RAB>0£¬A¡úB·½ÏòλÓÚµÚÒ»ÏóÏÞ£¬?AB=RAB£» ?xAB<0£¬?yAB>0ʱ£¬RAB<0£¬A¡úB·½ÏòλÓÚµÚ¶þÏóÏÞ£¬?AB=RAB+180¡ã£» ?xAB<0£¬?yAB<0ʱ£¬RAB>0£¬A¡úB·½ÏòλÓÚµÚÈýÏóÏÞ£¬?AB=RAB+180¡ã£» ?xAB>0£¬?yAB<0ʱ£¬RAB<0£¬A¡úB·½ÏòλÓÚµÚËÄÏóÏÞ£¬?AB=RAB+360¡ã¡£