ÌâÄ¿ÄÚÈÝ
¢ñ£¨1£©Ä³¸ÖÖƹ¤¼þºñ¶È´óԼΪ10cm£¬ÏÖÓû¾¡Á¿¾«È·µØ²âÁ¿Æäºñ¶È£¬ÏÂÁвâÁ¿¹¤¾ßÖÐ×îÇ¡µ±µÄÊÇ______£®£¨Ìî¡°a¡±¡¢¡°b¡±»ò¡°c¡±£©£¨a£©¿Ì¶È³ß
£¨b£©20·Ö¶ÈÓα꿨³ß
£¨c£©ÊµÑéÊÒ³£ÓõÄÂÝÐý²â΢¼Æ
£¨2£©ÔÚ¡°Ì½¾¿×ö¹¦ÓëËٶȱ仯¹Øϵ¡±ÊµÑéÖУ¬Ä³Á½Î»Í¬Ñ§¾ù²ÉÓÃÈçÏÂ×óͼµÄ×°Ö㬲¢ÇÒ·Ö±ðÓÃͼaºÍͼbµÄ·½Ê½½â¾öÏðƤ½îÓëС³µÖ®¼äµÄÁ¬½Ó£¬Í¼aÖÐÏðƤ½î´Ó³µ¶¥µÄ¶¤×ÓÉÏ¿ç¹ý£¬Í¼bÖÐÏðƤ½î´Ó³µÇ°µÄ»·Àï´©¹ý£ºÄãÈÏΪºÏÀíµÄÊÇͼ______£¨Ìî¡°a¡±»ò¡°b¡±£©£®
£¨3£©Á½Î»Í¬Ñ§ÔÚʹÓöàÓõç±í½áÊøºó£¬·Ö±ð½«Ñ¡Ôñ¿ª¹Ø±£ÁôÔÚͼa¡¢Í¼bºÍͼcËùʾµÄλÖã¬Í¼______µÄλÖñȽϺã®
¢ò£®
ΪÁËÑéÖ¤¶¯Á¿Êغ㶨ÂÉ£¨Ì½¾¿ÅöײÖеIJ»±äÁ¿£©£¬Ä³Í¬Ñ§Ñ¡È¡ÁËÁ½¸ö²ÄÖÊÏàͬ£¬Ìå»ý²»µÈµÄÁ½¸ö³¤Á¢·½Ì廬¿éAºÍB£¬°´ÏÂÊö²½Öè×öÁËÈçÏÂʵÑ飺
²½Öè1£ºÔÚA¡¢BµÄÏàײÃæ·Ö±ð×°ÉÏÄáÁúÀ¿Û£¬ÒÔ±ã¶þÕßÏàײÒÔºóÄܹ»Á¢¿Ì½áΪÕûÌ壻
²½Öè2£º°²×°ºÃʵÑé×°ÖÃÈçÏÂͼ£¬ÂÁÖʹìµÀ²ÛµÄ×ó¶ËÊÇÇãб²Û£¬ÓÒ¶ËÊdz¤Ö±Ë®Æ½²Û£¬Çãб²ÛºÍˮƽ²ÛÓÉһС¶Î»¡Á´½Ó£¬¹ìµÀ²Û±»¹Ì¶¨ÔÚˮƽ×ÀÃæÉÏ£¬ÔÚ¹ìµÀ²ÛµÄ²àÃæÓë¹ìµÀµÈ¸ßÇÒÊʵ±Ô¶´¦×°Ò»Ì¨ÊýÂëƵÉÁÕÕÏà»ú£»
²½Öè3£ºÈû¬¿éB¾²ÖÃÓÚˮƽ²ÛµÄij´¦£¬»¬¿éA´Óб²Ûij´¦¾²Ö¹ÊÍ·Å£¬Í¬Ê±¿ªÊ¼ÆµÉÁÅÄÉ㣬ֱµ½A¡¢BÍ£Ö¹Ô˶¯£¬µÃµ½Ò»·ù¶à´ÎÆعâµÄÊýÂëÕÕƬ£»
²½Öè4£º¶à´ÎÖظ´²½Öè3£¬µÃµ½¶à·ùÕÕƬ£¬Ìô³öÆäÖÐ×îÀíÏëµÄÒ»·ù£¬´òÓ¡³öÀ´£¬½«¿Ì¶È³ß½ô¿¿ÕÕƬ·ÅÖã¬ÈçÏÂËùʾ£»
£¨1£©ÓÉͼ·ÖÎö¿ÉÖª£¬»¬¿éAÓ뻬¿éBÅöײ·¢ÉúµÄλÖÃÊÇ______£®
¢ÙA¡¢BÏàײµÄλÖÃÔÚP5¡¢P6Ö®¼ä
¢ÚA¡¢BÏàײµÄλÖÃÔÚP6´¦
¢ÛA¡¢BÏàײµÄλÖÃÔÚP6¡¢P7Ö®¼ä
£¨2£©ÎªÁË̽¾¿ÅöײÖж¯Á¿ÊÇ·ñÊغ㣬ÐèÒªÖ±½Ó²âÁ¿»òÕ߶ÁÈ¡µÄÎïÀíÁ¿ÊÇ______£®
¢ÙA¡¢BÁ½¸ö»¬¿éµÄÖÊÁ¿m1ºÍm2
¢Ú»¬¿éAÊÍ·Åʱ¾à×ÀÃæµÄ¸ß¶È
¢ÛƵÉÁÕÕÏàµÄÖÜÆÚ
¢ÜÕÕƬ³ß´çºÍʵ¼Ê³ß´çµÄ±ÈÀý
¢ÝÕÕƬÉϲâµÃµÄS45¡¢S56ºÍS67¡¢S78
¢ÞÕÕƬÉϲâµÃµÄS34¡¢S45¡¢S56ºÍS67¡¢S78¡¢S89
¢ß»¬¿éÓë×ÀÃæµÄ»¬¶¯Ä¦²ÁÒòÊý
£¨3£©Ð´³öÑéÖ¤¶¯Á¿ÊغãµÄ±í´ïʽ______£®
£¨4£©ÎªÁËÌá¸ßʵÑé׼ȷ¶È£¬ÒÔÏ´ëÊ©ÖÐÓÐЧµÄÊÇ______£®
¢ÙʹÓøüƽÕûµÄ¹ìµÀ²Û
¢ÚʹÓøü¹â»¬µÄ¹ìµÀ²Û
¢ÛÔÚ×ã¹»³ÉÏñµÄÇ°ÌáÏ£¬Ëõ¶ÌƵÉÁÕÕÏàÿ´ÎÆعâµÄʱ¼ä
¢ÜÊʵ±Ôö´óÏà»úºÍ¹ìµÀ²ÛµÄ¾àÀë
£¨5£©ÇëÔÙÄãд³öÒ»ÌõÓÐÀûÓÚÌá¸ßʵÑé׼ȷ¶È»ò¸Ä½øÊÔÑéÔÀíµÄ½¨Ò飺______£®
¡¾´ð°¸¡¿·ÖÎö£º¢ñ£¨1£©¹¤¼þºñ¶È´óԼΪ10cm£¬³¬¹ýÂÝÐý²â΢¼ÆµÄÁ¿³Ì£¬ÆÕͨ¿Ì¶È³ß¾«È·¶È²»¸ß£¬¹ÊÑ¡20·Ö¶ÈÓα꿨³ß£®
£¨2£©ÎªÁË·½±ãÔö¼õÏðƤ¹h£¬ÏðƤ½î´Ó³µ¶¥µÄ¶¤×ÓÉÏ¿ç¹ý£®
£¨3£©Ñ¡Ôñ¿ª¹ØÓ¦ÖÃÓÚ½»Á÷µçѹ×î¸ßµ²£®
£¨4£©¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ·Ö±ðÑо¿Åöײǰ»¬¿éÔÚP4¡¢P5µÄËٶȣ¬¸ù¾ÝP6¡¢P5ºÍP5¡¢P4ËٶȲîÏàµÈÑо¿P6µÄËٶȣ¬Í¬ÀíÇó³öÅöײºó»¬¿éP7¡¢P8µÄËٶȣ¬ÔÙËٶȲîÏàµÈÇó³öÅöײºó¹²Í¬µÄËٶȣ®
½â´ð£º½â£º¢ñ£¨1£©¹¤¼þºñ¶È´óԼΪ10cm£¬³¬¹ýÂÝÐý²â΢¼ÆµÄÁ¿³Ì£¬ÆÕͨ¿Ì¶È³ß¾«È·¶È²»¸ß£¬¹ÊÑ¡20·Ö¶ÈÓα꿨³ß
£¨2£©ÎªÁË·½±ãÔö¼ÓÏðƤ¹h£¬ÏðƤ½î´Ó³µ¶¥µÄ¶¤×ÓÉÏ¿ç¹ý£¬²»´Ó³µÇ°µÄ»·Àï´©¹ý£®
£¨3£©¶àÓõç±íʹÓÃÍê±Ï£¬Ñ¡Ôñ¿ª¹ØÓ¦ÖÃÓÚ½»Á÷µçѹ×î¸ßµ²»òoffµ²£®aͬѧ²Ù×÷ÕýÈ·
¢ò£¨1£©P6λÖû¬¿éËÙ¶ÈÃ÷ÏÔ¼õС£¬¹ÊA¡¢BÏàײµÄλÖÃÔÚP6´¦£®
£¨2£©¡¢£¨3£©ÉèÅöײǰ»¬¿éAÔÚP4¡¢P5¡¢P6µÄËٶȷֱðΪv4¡¢v5¡¢v6
Åöײºó£¬ÕûÌåÔÚP6¡¢P7¡¢P8µÄËٶȷֱðΪv6¡ä£¬v7¡¢v8
Ôòv4=£¬v5=
ÓÖv5=
µÃµ½Åöײǰ»¬¿éAËÙ¶Èv6=
ͬÀí£¬ÅöײºóÕûÌåµÄËÙ¶Èv6¡ä=
ÔÀ´ÐèÒªÑéÖ¤µÄ·½³ÌΪm1v6=£¨m1+m2£©v6¡ä
½«ÉÏÁ½Ê½´úÈëÕûÀíµÃ
m1£¨2S56+S45-S34£©=£¨m1+m2£©£¨2S67+S78-S89£©¼´ÐèÒªÑéÖ¤µÄ±í´ïʽ£¬ÐèÒªÖ±½Ó²âÁ¿»òÕ߶ÁÈ¡µÄÎïÀíÁ¿ÊÇA¡¢BÁ½¸ö»¬¿éµÄÖÊÁ¿m1ºÍm2¼°S34¡¢S45¡¢S56ºÍS67¡¢S78¡¢S89
£¨4£©¢Ù¹ìµÀҪƽÕû£¬·ÀÖ¹¸÷¶ÎĦ²ÁÁ¦²»Í¬£¬»¬¿é×ö·ÇÔȱäËÙÔ˶¯£®¹Ê¢ÙÕýÈ·£®
¢Ú±¾ÊµÑéÊǸù¾ÝÔȱäËÙÔ˶¯µÄÍÆÂÛÇó³öËٶȣ¬¹ìµÀ¹â»¬³Ì¶È¶ÔʵÑéûÓÐÓ°Ï죮¹Ê¢Ú´íÎó£®
¢ÛÅöײʱ¼äºÜ¶Ì£¬Ëõ¶ÌƵÉÁÕÕÏàÿ´ÎÆعâµÄʱ¼ä£¬Ê¹»¬¿éÅöײλÖÃÅÄÉã¸üÇåÎú¡¢×¼È·£®¹Ê¢ÛÕýÈ·£®
¢ÜÏà»úºÍ¹ìµÀ²ÛµÄ¾àÀë½ÏСʱ£¬ÓÉÓÚ¾µÍ·ÅÄÉãÒýÆðµÄ¾àÀëÎó²îÔö´ó£¬Ó¦Êʵ±Ôö´óÏà»úºÍ¹ìµÀ²ÛµÄ¾àÀ룮¹Ê¢ÜÕýÈ·£®
¹ÊÑ¡¢Ù¢Û¢Ü£®
£¨5£©ÎªÁËÌá¸ßʵÑé׼ȷ¶È½¨Ò飺½«¹ìµÀµÄÒ»¶ËµæÆðÉÙÐí£¬Æ½ºâĦ²ÁÁ¦£¬Ê¹µÃ»¬¿éÅöײǰºó¶¼×öÔÈËÙÔ˶¯£®
¹Ê±¾Ìâ´ð°¸ÊÇ£º
¢ñ
£¨1£©b
£¨2£©a
£¨3£©a
¢ò
£¨1£©¢Ú
£¨2£©¢Ù¢Þ
£¨3£©m1£¨2S56+S45-S34£©=£¨m1+m2£©£¨2S67+S78-S89£©
£¨4£©¢Ù¢Û¢Ü
£¨5£©½«¹ìµÀµÄÒ»¶ËµæÆðÉÙÐí£¬Æ½ºâĦ²ÁÁ¦£¬Ê¹µÃ»¬¿éÅöײǰºó¶¼×öÔÈËÙÔ˶¯£®
µãÆÀ£º±¾ÌâÔÀí½ÏΪ¸´ÔÓ£¬¿É²ÉÓÃƽºâĦ²ÁÁ¦£¬Ê¹Åöײǰºó»¬¿é¶¼×öÔÈËÙÖ±ÏßÔ˶¯£¬·½±ãÒ×ÐУ®
£¨2£©ÎªÁË·½±ãÔö¼õÏðƤ¹h£¬ÏðƤ½î´Ó³µ¶¥µÄ¶¤×ÓÉÏ¿ç¹ý£®
£¨3£©Ñ¡Ôñ¿ª¹ØÓ¦ÖÃÓÚ½»Á÷µçѹ×î¸ßµ²£®
£¨4£©¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ·Ö±ðÑо¿Åöײǰ»¬¿éÔÚP4¡¢P5µÄËٶȣ¬¸ù¾ÝP6¡¢P5ºÍP5¡¢P4ËٶȲîÏàµÈÑо¿P6µÄËٶȣ¬Í¬ÀíÇó³öÅöײºó»¬¿éP7¡¢P8µÄËٶȣ¬ÔÙËٶȲîÏàµÈÇó³öÅöײºó¹²Í¬µÄËٶȣ®
½â´ð£º½â£º¢ñ£¨1£©¹¤¼þºñ¶È´óԼΪ10cm£¬³¬¹ýÂÝÐý²â΢¼ÆµÄÁ¿³Ì£¬ÆÕͨ¿Ì¶È³ß¾«È·¶È²»¸ß£¬¹ÊÑ¡20·Ö¶ÈÓα꿨³ß
£¨2£©ÎªÁË·½±ãÔö¼ÓÏðƤ¹h£¬ÏðƤ½î´Ó³µ¶¥µÄ¶¤×ÓÉÏ¿ç¹ý£¬²»´Ó³µÇ°µÄ»·Àï´©¹ý£®
£¨3£©¶àÓõç±íʹÓÃÍê±Ï£¬Ñ¡Ôñ¿ª¹ØÓ¦ÖÃÓÚ½»Á÷µçѹ×î¸ßµ²»òoffµ²£®aͬѧ²Ù×÷ÕýÈ·
¢ò£¨1£©P6λÖû¬¿éËÙ¶ÈÃ÷ÏÔ¼õС£¬¹ÊA¡¢BÏàײµÄλÖÃÔÚP6´¦£®
£¨2£©¡¢£¨3£©ÉèÅöײǰ»¬¿éAÔÚP4¡¢P5¡¢P6µÄËٶȷֱðΪv4¡¢v5¡¢v6
Åöײºó£¬ÕûÌåÔÚP6¡¢P7¡¢P8µÄËٶȷֱðΪv6¡ä£¬v7¡¢v8
Ôòv4=£¬v5=
ÓÖv5=
µÃµ½Åöײǰ»¬¿éAËÙ¶Èv6=
ͬÀí£¬ÅöײºóÕûÌåµÄËÙ¶Èv6¡ä=
ÔÀ´ÐèÒªÑéÖ¤µÄ·½³ÌΪm1v6=£¨m1+m2£©v6¡ä
½«ÉÏÁ½Ê½´úÈëÕûÀíµÃ
m1£¨2S56+S45-S34£©=£¨m1+m2£©£¨2S67+S78-S89£©¼´ÐèÒªÑéÖ¤µÄ±í´ïʽ£¬ÐèÒªÖ±½Ó²âÁ¿»òÕ߶ÁÈ¡µÄÎïÀíÁ¿ÊÇA¡¢BÁ½¸ö»¬¿éµÄÖÊÁ¿m1ºÍm2¼°S34¡¢S45¡¢S56ºÍS67¡¢S78¡¢S89
£¨4£©¢Ù¹ìµÀҪƽÕû£¬·ÀÖ¹¸÷¶ÎĦ²ÁÁ¦²»Í¬£¬»¬¿é×ö·ÇÔȱäËÙÔ˶¯£®¹Ê¢ÙÕýÈ·£®
¢Ú±¾ÊµÑéÊǸù¾ÝÔȱäËÙÔ˶¯µÄÍÆÂÛÇó³öËٶȣ¬¹ìµÀ¹â»¬³Ì¶È¶ÔʵÑéûÓÐÓ°Ï죮¹Ê¢Ú´íÎó£®
¢ÛÅöײʱ¼äºÜ¶Ì£¬Ëõ¶ÌƵÉÁÕÕÏàÿ´ÎÆعâµÄʱ¼ä£¬Ê¹»¬¿éÅöײλÖÃÅÄÉã¸üÇåÎú¡¢×¼È·£®¹Ê¢ÛÕýÈ·£®
¢ÜÏà»úºÍ¹ìµÀ²ÛµÄ¾àÀë½ÏСʱ£¬ÓÉÓÚ¾µÍ·ÅÄÉãÒýÆðµÄ¾àÀëÎó²îÔö´ó£¬Ó¦Êʵ±Ôö´óÏà»úºÍ¹ìµÀ²ÛµÄ¾àÀ룮¹Ê¢ÜÕýÈ·£®
¹ÊÑ¡¢Ù¢Û¢Ü£®
£¨5£©ÎªÁËÌá¸ßʵÑé׼ȷ¶È½¨Ò飺½«¹ìµÀµÄÒ»¶ËµæÆðÉÙÐí£¬Æ½ºâĦ²ÁÁ¦£¬Ê¹µÃ»¬¿éÅöײǰºó¶¼×öÔÈËÙÔ˶¯£®
¹Ê±¾Ìâ´ð°¸ÊÇ£º
¢ñ
£¨1£©b
£¨2£©a
£¨3£©a
¢ò
£¨1£©¢Ú
£¨2£©¢Ù¢Þ
£¨3£©m1£¨2S56+S45-S34£©=£¨m1+m2£©£¨2S67+S78-S89£©
£¨4£©¢Ù¢Û¢Ü
£¨5£©½«¹ìµÀµÄÒ»¶ËµæÆðÉÙÐí£¬Æ½ºâĦ²ÁÁ¦£¬Ê¹µÃ»¬¿éÅöײǰºó¶¼×öÔÈËÙÔ˶¯£®
µãÆÀ£º±¾ÌâÔÀí½ÏΪ¸´ÔÓ£¬¿É²ÉÓÃƽºâĦ²ÁÁ¦£¬Ê¹Åöײǰºó»¬¿é¶¼×öÔÈËÙÖ±ÏßÔ˶¯£¬·½±ãÒ×ÐУ®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿