2018Äêµç´ó¡¶½¨Öþ²âÁ¿¡·ÐγÉÐÔ¿¼ºË²á×÷ÒµÊÔÌâÁ½·Ý¸½´ð°¸ ÏÂÔØ±¾ÎÄ

2018Äêµç´ó¡¶½¨Öþ²âÁ¿¡·ÐγÉÐÔ¿¼ºË²á×÷ÒµÊÔÌâÁ½·Ý

¸½´ð°¸

½¨Öþ²âÁ¿×÷Òµ

Ò» Ìî¿ÕÌâ

1¡¢¿Õ¼äÈÎÁ½·½ÏòÔÚË®Æ½ÃæÉÏͶӰ֮¼äµÄ¼Ð½Ç³ÆÎªË®Æ½½Ç£¬Í¬Ò»ÊúÖ±ÃæÄÚˮƽ·½ÏòתÏòÄ¿±ê·½ÏòµÄ¼Ð½Ç³ÆÎªÊúÖ±½Ç¡£ÊúÖ±½ÇΪÕýʱ£¬³ÆÎªÑö½Ç£¬Îª¸ºÊ±³ÆÎª¸©½Ç¡£ 2¡¢DJ6Ð͹âѧ¾­Î³ÒÇÓÉÕÕ×¼²¿¡¢Ë®Æ½¶ÈÅ̺ͻù×ùÈý²¿·Ö×é³É¡£

3¡¢¾­Î³ÒǵÄʹÓÃÊÇÖ¸¶ÔÒÇÆ÷½øÐжÔÖС¢Õûƽ¡¢ÕÕ×¼ºÍ¶ÁÊýËÄÏî²Ù×÷²½Öè¡£

4¡¢²âÁ¿ÊúÖ±½ÇÔÚ¶ÁÊýǰ£¬Ó¦×¢Òâʹָ±êÕëË®×¼¹ÜÆøÅݾÓÖУ¬Ä¿µÄÊÇʹÊúÅÌÖ¸±êÏßλÓÚÕýȷλÖá£

5¡¢¾­Î³ÒǵÄÊúÅÌÖ¸±êË®×¼¹ÜµÄ×÷ÓÃÊDZ£Ö¤ÊúÅÌÖ¸±êÏß´¦ÓÚÕýȷλÖá£

6¡¢Ê¹Óþ­Î³ÒÇÕûƽµÄÄ¿µÄÊÇͨ¹ýµ÷½ÚË®×¼¹ÜÆøÅÝʹÒÇÆ÷ÊúÖá´¦ÓÚǦ´¹Î»Ö㬶ÔÖеÄÄ¿µÄÊǰ²ÖÃÒÇÆ÷ʹÆäÖÐÐĺͲâÕ¾µã±ê־λÓÚͬһÌõǦ´¹ÏßÉÏ¡£

7¡¢²â»Ø·¨ÊÊÓÃÓÚ 2¡«3 ¸ö·½Ïò£¬·½Ïò¹Û²â·¨£¨ÓÖ³ÆÈ«Ô²²â»Ø·¨£©ÊÊÓÃÓÚ3¸öÒÔÉÏ·½Ïò¡£ 8¡¢ÊúÖ±½Ç²âÁ¿µÄ¼ÆË㹫ʽÅÌ×óΪ¦Á

L

=

90o-L£¬ÅÌÓÒΪ¦ÁR=R-270O

£¬Æäƽ¾ùֵΪ

¦Áa=(¦ÁL+¦ÁR)/2¡£

O

O

9¡¢½«¾­Î³Òǰ²ÖÃÓÚAµãÇÒÃé×¼Bµãʱ£¬Ë®Æ½¶ÈÅ̶ÁÊýΪ30 £¬Óû²âÉè45µÄˮƽ½ÇÖµÓÚAB

O

Ö±ÏßµÄ×ó²à£¬Ôòˮƽ¶ÈÅ̵ĶÁÊýӦΪ345¡£

10¡¢¾«ÃÜÁ¿¾àʱ£¬³ß³¤¸ÄÕýµÄ¼ÆË㹫ʽΪ

¦¤ld=ls-lo

Ϊ

£¬Î¶ȸÄÕýµÄ¼ÆË㹫ʽΪ

2

¦¤lt=¦Á(t-to)2loÇãб¸ÄÕýµÄ¼ÆË㹫ʽ

lt=lo+¦¤l+¦Á(t-to)lo

¦¤lh=-(h/2l) £»¸Ö³ß³ß³¤·½³ÌʽµÄÒ»°ãÐÎʽΪ

11¡¢ÇãбÊÓÏßµÄÊÓ¾à²âÁ¿¼ÆË㹫ʽ£º

12¡¢¾­Î³ÒǵÄÊúÅÌÖ¸±ê²îÊÇÖ¸µ±ÍûÔ¶¾µË®Æ½ÊúÅÌÖ¸±êË®×¼¹ÜÆøÅݾÓÖÐʱ£¬ÊúÅÌÖ¸±êÏ߯«Àë

oo

ÕýȷλÖã¬Æä¶ÁÊýÓë90»ò270Ö®¼ä²úÉúСµÄÆ«½Ç£¬´ËÆ«½Çx³ÆÎªÊúÅÌÖ¸±ê²î¡£ÊúÅÌÖ¸±ê²îµÄ¼ÆË㹫ʽΪ x=(¦ÁR-¦ÁL)/2

o

Ò²¿ÉÒÔΪ x=[(L+R)-360]/2 ¡£

¶þ Ãû´Ê½âÊͺͼò´ðÌâ

4 1¸Ö³ßÁ¿¾àʱΪʲôҪֱÏß¶¨Ïߣ¿

´ð£ºµ±µØÃæÁ½µã¼ä¾àÀë½Ï³¤Ê±£¬ÍùÍùÒÔÒ»Õû³ß³¤ÎªÒ»³ß¶Î£¬½øÐзֶÎÕÉÁ¿£¬ËùÒÔ¸Ö³ßÁ¿¾àʱҪֱÏß¶¨Ïß¡£

2¡¢Ê²Ã´½Ðˮƽ½Ç¡¢ÊúÖ±½Ç£¿Ë®Æ½½ÇºÍÊúÖ±½ÇµÄ¹Û²âÔ­ÀíÊÇʲô£¿

oo

´ð£ºË®Æ½½ÇÊǿռäÈÎÁ½·½ÏòÔÚË®Æ½ÃæÉÏͶӰ֮¼äµÄ¼Ð½Ç£¬È¡Öµ·¶Î§Îª0¡«360¡£

ˮƽ½ÇµÄ¹Û²âÔ­Àí£º°²Öþ­Î³ÒÇÓÚµØÃæOµã£¬×ª¶¯ÍûÔ¶¾µ·Ö±ðÕÕ×¼²»Í¬µÄÄ¿±ê(ÀýÈçA¡¢B¶þµã)£¬¾Í¿ÉÒÔÔÚˮƽ¶ÈÅÌÉϵõ½·½ÏòÏßOA¡¢OBÔÚË®Æ½ÃæÉÏͶӰµÄ¶ÁÊýa¡¢b£¬Óɴ˼´µÃOA¡¢OBÖ®¼äµÄˮƽ½Ç¦ÂΪ£º ¦Â=b-a

ÊúÖ±½ÇÊÇͬһÊúÖ±ÃæÄÚˮƽ·½ÏòתÏòÄ¿±ê·½ÏòµÄ¼Ð½Ç¡£Ä¿±ê·½Ïò¸ßÓÚˮƽ·½ÏòµÄÊúÖ±½Ç³Æ

oo

ΪÑö½Ç£¬aΪÕýÖµ£¬È¡Öµ·¶Î§Îª0¡«+90£»Ä¿±ê·½ÏòµÍÓÚˮƽ·½ÏòµÄÊúÖ±½Ç³ÆÎª¸©½Ç£¬aΪ

oo

¸ºÖµ£¬È¡Öµ·¶Î§Îª0¡«-90¡£

ÊúÖ±½ÇµÄ¹Û²âÔ­Àí£º¾­Î³ÒÇÔÚ²âÁ¿ÊúÖ±½Çʱ£¬Ö»ÒªÕÕ׼Ŀ±ê£¬¶ÁÈ¡ÊúÅ̶ÁÊý£¬¾Í¿ÉÒÔͨ¹ý¼ÆËãµÃµ½Ä¿±êµÄÊúÖ±½Ç¡£

3¡¢½Ç¶È²âÁ¿ÓÐÄÄЩÖ÷ÒªÎó²î£¿ÔÚ½øÐнǶȹ۲âʱΪʲôҪ½øÐÐÅÌ×ó¡¢ÅÌÓÒÁ½´Î¹Û²â£¿

´ð£º½Ç¶È²âÁ¿µÃÖ÷ÒªÎó²î£ºÒÇÆ÷Îó²î¡¢¹Û²âÎó²î¡¢Íâ½çÌõ¼þµÄÓ°Ïì¡£

ÓÃÅÌ×ó¡¢ÅÌÓÒÁ½´Î¹Û²â¿ÉÒÔÏû³ýÒÇÆ÷µÄÊÓ×¼ÖáÎó²î¡¢ºáÖáÎó²î¡¢ÊúÅÌÖ¸±ê²î¡¢¶ÈÅÌÆ«ÐIJî¶Ô²â½ÇµÄÓ°Ïì¡£

4¡¢¼òÊö²â»Ø·¨ºÍ·½Ïò¹Û²â·¨µÄ¹Û²â²½Öè¡£Á½ÖÖ·½·¨¸÷ÓÐÄÄЩÏ޲ÈçºÎÅäÖÃˮƽ¶ÁÅ̵ĶÁÊý£¿

´ð£º²â»Ø·¨µÄ¹Û²â²½Ö裺ÉèÔÚOµã°²Öþ­Î³ÒÇ£¬²ÉÓÃ²â»Ø·¨²â¶¨OA¡¢OBÁ½¸ö·½ÏòÖ®¼äµÄˮƽ½Ç¦Â¡£

1£©Éϰë²â»Ø(ÅÌ×ó)

ÏÈÃé×¼×óÄ¿±êA£¬µÃˮƽ¶ÈÅ̶ÁÊýa1£¬Ë³Ê±Õëת¶¯ÕÕ×¼²¿Ãé×¼ÓÒÄ¿±êB£¬µÃˮƽ¶ÈÅ̶ÁÊýb1£¬²¢ËãµÃÅÌ×ó½ÇÖµ£º¦Â×ó£½b1£­a1£¬½Ó×ŵ¹×ªÍûÔ¶¾µ£¬ÓÉÅÌ×ó±äΪÅÌÓÒ¡£

2£©Ï°ë²â»Ø(ÅÌÓÒ)

ÏÈÃé×¼ÓÒÄ¿±êB£¬µÃˮƽ¶ÈÅ̶ÁÊýb2£¬ÄæÊ±Õëת¶¯ÕÕ×¼²¿Ãé×¼×óÄ¿±êA£¬µÃˮƽ¶ÈÅ̶ÁÊýa2£¬²¢ËãµÃÅÌÓÒ½ÇÖµ£º¦ÂÓÒ£½b2£­a2£¬¼ÆËã½Çֵʱ£¬×ÜÊÇÓÒÄ¿±ê¶ÁÊý b¼õÈ¥×óÄ¿±ê¶ÁÊýa£¬

o

Èôb

3£©¼ÆËã²â»Ø½ÇÖµ¦Â£º¦Â£½(¦Â×ó+¦ÂÓÒ£©/2

²â»Ø·¨Ï޲°ë²â»Ø½ÇÖµ½Ï²îµÄÏÞ²îÒ»°ãΪ¡À40\¡À24\¡£

·½Ïò¹Û²â·¨µÄ¹Û²â²½Ö裺ÉèÔÚ²âÕ¾Oµã°²ÖÃÒÇÆ÷£¬ÒÔA¡¢B¡¢C¡¢DΪĿ±ê£¬Îª²â¶¨OµãÖÁÿ¸öÄ¿±êÖ®·½ÏòÖµ¼°ÏàÁÚ·½ÏòÖ®¼äµÄˮƽ½Ç¡£ 1£©Éϰë²â»Ø (ÅÌ×ó)

Ñ¡¶¨Áã·½Ïò(ÀýÈçΪA)£¬½«Ë®Æ½¶ÈÅÌÅäÖÃÔÚÉÔ´óÓÚ

µÄ¶ÁÊý´¦£¬°´Ë³Ê±Õë·½ÏòÒÀ´Î

¹Û²âA¡¢B¡¢C¡¢D¡¢A¸÷·½Ïò£¬·Ö±ð¶Áȡˮƽ¶ÈÅ̶ÁÊý£¬²¢ÓÉÉ϶øÏÂÒÀ´Î¼ÇÈë±íÖС£¹Û²â×îºóÔٻص½Áã·½ÏòA(³ÆÎª¹éÁã)¡£ 2£©Ï°ë²â»Ø (ÅÌÓÒ)

°´ÄæÊ±Õë·½ÏòÒÀ´Î¹Û²âA¡¢B¡¢C¡¢D¡¢A¸÷·½Ïò(¼´ÈÔÒª¹éÁã)£¬¶Áȡˮƽ¶ÈÅ̶ÁÊý£¬²¢ÓÉ϶øÉÏÒÀ´Î¼ÇÈë±íÖС£ Èç¹ûÐèÒª¹Û²ân¸ö²â»Ø£¬Í¬ÑùÓ¦ÔÚÿ¸ö²â»Ø¿ªÊ¼¼´ÅÌ×óµÄµÚÒ»¸ö·½

Ïò£¬ÅäÖÃˮƽ¶ÈÅ̶ÁÊýʹÆäµÝÔö£¬ÆäºóÈÔ°´ÏàͬµÄ˳Ðò½øÐй۲⡢¼Ç¼¡£

3£©·Ö±ð¶ÔÉÏ¡¢Ï°ë²â»ØÖÐÁã·½ÏòµÄÁ½¸ö¶ÁÊý½øÐбȽϣ¬Æä²îÖµ³ÆÎª°ë²â»Ø¹éÁã²î£¬ÈôÁ½¸ö°ë²â»ØµÄ¹éÁã²î¾ù·ûºÏÏÞ²îÒªÇ󣬱ã¿É½øÐÐÒÔϼÆË㹤×÷¡£

ˮƽ½Ç·½Ïò¹Û²â·¨Ï޲

ÒÇÆ÷¼¶±ð J2 J6

°ë²â»Ø¹éÁã²î

Ò»²â»ØÄÚ2C»¥²î

(ÎÞ´ËÏîÒªÇó)

ͬһ·½ÏòÖµ¸÷²â»Ø»¥²î

ˮƽ¶ÁÅ̶ÁÊýµÄÅäÖãºÎªÌá¸ß²â½Ç¾«¶È£¬¹Û²ân¸ö²â»ØÊ±£¬ÔÚÿ¸ö²â»Ø¿ªÊ¼¼´ÅÌ×óµÄµÚÒ»¸ö

o

·½Ïò£¬Ó¦Ðýת¶ÈÅ̱任ÊÖÂÖÅäÖÃˮƽ¶ÈÅ̶ÁÊý£¬Ê¹ÆäµÝÔö 180/n ¡£ 5¡¢¾­Î³ÒǵļìÑé°üÀ¨ÄÄЩÄÚÈÝ£¿ÊúÅÌÖ¸±ê²îµÄ¼ìÑéÈçºÎ¼ìÑ飿

´ð£º¾­Î³ÒǵļìÑé°üÀ¨£ºÕÕ×¼²¿Ë®×¼¹ÜÖáµÄ¼ìÑ飻ÊÓ×¼ÖáµÄ¼ìÑ飻ºáÖáµÄ¼ìÑ飻ʮ×ÖË¿ÊúË¿µÄ¼ìÑ飻ÊúÅÌÖ¸±êË®×¼¹ÜÖáµÄ¼ìÑé¡£

ÊúÅÌÖ¸±ê²îµÄ¼ìÑ飺Ê×ÏÈÒÇÆ÷Õûƽºó£¬ÓúáË¿ÅÌ×ó¡¢ÅÌÓÒÃé׼ͬһĿ±ê£¬ÔÚÊúÅÌÖ¸±êË®×¼¹ÜÆøÅݾÓÖÐʱ·Ö±ð¶ÁÈ¡ÊúÅ̶ÁÊýL¡¢R¡£ È»ºó¼ÆËã³öÖ¸±ê²îx¡£¶ÔÓÚDJ6¼¶¾­Î³ÒÇ£¬ÈôÖ¸±ê²î³¬¹ý1¡äʱ£¬ÔòÐè½øÐÐУÕý¡£

6¡¢¸Ö³ßÁ¿¾àºÍÊÓ¾à²âÁ¿»áÊÜÄÄЩÎó²îµÄÓ°Ï죿

´ð£º¸Ö³ßÁ¿¾àµÄÎó²î£º¶¨ÏßÎó²î£»³ß³¤Îó²î £»Î¶ÈÎó²î£»À­Á¦Îó²î£»ÇãбÎó²î£»¸Ö³ß´¹ÇúÎó²î£»ÕÉÁ¿Îó²î¡£ÊÓ¾à²âÁ¿µÄÎó²î£ºÊÓ¾à¶ÁÊýÎó²î£»±ê³ßÇãбÎó²î£»Êú½Ç¹Û²âÎó²î£»ÊӾೣÊýÎó²î£»Íâ½çÌõ¼þµÄÓ°Ïì¡£

7¡¢¼òÊöȫվÒǵÄ×é³É¡¢ÐÔÄÜÖ¸±ê¡¢²âÁ¿Ä£Ê½¡¢Ê¹Ó÷½·¨ºÍ×¢ÒâÊÂÏî¡£

´ð£ºÈ«Õ¾ÒǵÄ×é³É£º 1£©ËÄ´ó¹âµç²âÁ¿ÏµÍ³ £¬È«Õ¾ÒÇÆäËÄ´ó¹âµç²âÁ¿ÏµÍ³·Ö±ðΪˮƽ½Ç²âÁ¿¡¢ÊúÖ±½Ç²âÁ¿¡¢¾àÀë²âÁ¿ºÍˮƽ²¹³¥ÏµÍ³¡£ 2£©Î¢´¦ÀíÆ÷¡¢µç×ÓÊÖ²¾ºÍ¸½Êô²¿¼þ¡£3£©Í¬ÖáÍûÔ¶¾µ¡£

ÐÔÄÜÖ¸±ê£º¾«¶È¡¢²â³Ì¡¢×îС¶ÁÊý¼°²â¾àʱ¼ä¡¢¹¤×÷»·¾³Î¶ȡ£ ²âÁ¿Ä£Ê½£º (1) ½Ç¶È²âÁ¿Ä£Ê½ (2) ¾àÀë²âÁ¿Ä£Ê½ £¨3) ×ø±ê²âÁ¿Ä£Ê½ (4) ÌØÊâģʽ(²Ëµ¥Ä£Ê½)

ʹÓ÷½·¨£º(1) °²ÖèD½«È«Õ¾Òǰ²ÖÃÓÚ²âÕ¾£¬·´Éä¾µ°²ÖÃÓÚÄ¿±êµã¡£¶ÔÖкÍÕûƽͬ¹âѧ¾­Î³ÒÇ¡£

(2) ¿ª»ú¨D´ò¿ªµçÔ´¿ª¹Ø(POWER¼ü)£¬ÏÔʾÆ÷ÏÔʾµ±Ç°µÄÀâ¾µ³£ÊýºÍÆøÏó¸ÄÕýÊý¼°µçÔ´µçѹ¡£

(3) ÒÇÆ÷×Ô¼ì¨Dת¶¯ÕÕ×¼²¿ºÍÍûÔ¶¾µ¸÷Ò»ÖÜ£¬Ê¹ÒÇÆ÷ˮƽ¶ÈÅ̺ÍÊúÖ±¶ÈÅ̳õʼ»¯£» (4) ²ÎÊýÉèÖèDÀâ¾µ³£Êý¡¢ÆøÏó¸ÄÕý²ÎÊýµÄ¼ì²éÓëÉèÖã» (5) Ñ¡Ôñ½Ç¶È²âÁ¿Ä£Ê½¨DÃé×¼µÚ1Ä¿±ê£¬ÉèÖÃÆðʼ·½Ïòˮƽ½ÇΪ

£»ÔÙÃé×¼µÚ

2·½Ïò£¬Ö±½ÓÏÔʾˮƽ½ÇºÍÊúÖ±½Ç(¶àΪÇãбÊÓÏßµÄÌì¶¥¾à¶ÁÊý)¡£ (6) Ñ¡Ôñ¾àÀë²âÁ¿Ä£Ê½¨D¾«²â¾àÀë/¸ú×Ù²â¾à/´Ö²â¾àÀë¡£ (7) ÕÕ×¼¡¢²âÁ¿¨D·½Ïò¹Û²âʱÕÕ×¼±ê¸Ë»òêèÅÆÖÐÐÄ£¬¾àÀë²âÁ¿Ê±ÍûÔ¶¾µÓ¦Ãé×¼·´ÉäÀâ¾µÖÐÐÄ£¬°´²âÁ¿¼üÏÔʾˮƽ½Ç¡¢ÊúÖ±½ÇºÍб¾à£¬»òÏÔʾˮƽ½Ç¡¢Ë®Æ½¾àÀëºÍ¸ß²î¡£ (8) ²âÁ¿Íê±Ï¹Ø»ú¡£ ×¢ÒâÊÂÏ¼ûÊé93Ò³ Ò»¡¢ ¼ÆËãÌâ