ÌâÄ¿ÄÚÈÝ

3£®Ä³µ¥×ÓÒ¶Ö²ÎïµÄ·ÇÅ´ÐÔ£¨B£©¶ÔÅ´ÐÔ£¨b£©ÎªÏÔÐÔ£¬¿¹²¡£¨R£©¶Ô²»¿¹²¡£¨r£©ÎªÏÔÐÔ£¬»¨·ÛÁ£³¤ÐΣ¨D£©¶ÔÔ²ÐΣ¨d£©ÎªÏÔÐÔ£¬Èý¶ÔµÈλ»ùÒòλÓÚÈý¶ÔͬԴȾɫÌåÉÏ£®·ÇÅ´ÐÔ»¨·ÛÓöµâÒº³ÊÀ¶É«£¬Å´ÐÔ»¨·ÛÓöµâÒº³Êרɫ£®ÏÖÌṩÒÔÏÂ4ÖÖ´¿ºÏÇ×±¾£º
Ç×±¾ÐÔ×´
¼×·ÇÅ´ÐÔ       ¿¹²¡          »¨·ÛÁ£³¤ÐÎ
ÒÒ·ÇÅ´ÐÔ       ²»¿¹²¡        »¨·ÛÁ£Ô²ÐÎ
±ûÅ´ÐÔ         ¿¹²¡          »¨·ÛÁ£Ô²ÐÎ
¶¡Å´ÐÔ         ²»¿¹²¡        »¨·ÛÁ£³¤ÐÎ
£¨1£©Èô²ÉÓû¨·ÛÁ£ÐÎ×´¼ø¶¨·¨ÑéÖ¤»ùÒòµÄ·ÖÀ붨ÂÉ£¬¿ÉÑ¡ÔñÇ×±¾¼×ÓëÇ×±¾ÒÒ»ò±ûÔÓ½»£®
£¨2£©Èô²ÉÓû¨·Û¼ø¶¨·¨ÑéÖ¤»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£¬ÔÓ½»Ê±Ñ¡ÔñµÄÇ×±¾ÊǼ׺ͱû»òÒҺͶ¡£®½«ÔÓ½»ËùµÃF1µÄ»¨·ÛÍ¿ÔÚÔØ²£Æ¬ÉÏ£¬¼ÓµâҺȾɫ£¬ÖÃÓÚÏÔ΢¾µÏ¹۲죬ͳ¼Æ»¨·ÛÁ£µÄÊýÄ¿£¬Ô¤ÆÚ»¨·ÛÁ£µÄÀàÐÍÓÐÔ²ÐÎÀ¶É«¡¢Ô²ÐÎרɫ¡¢³¤ÐÎÀ¶É«¡¢³¤ÐÎרɫ£¬±ÈÀýΪ1£º1£º1£º1£®
£¨3£©ÀûÓÃÌṩµÄÇ×±¾½øÐÐÔÓ½»£¬F2ÄܳöÏÖ·ÇÅ´ÐÔ¡¢¿¹²¡¡¢»¨·ÛÁ£Ô²ÐÎÖ²ÖêµÄÇ×±¾×éºÏÓм׺ÍÒÒ£¬ÒÔ¼°¼×ºÍ±û¡¢ÒҺͱû£¬ÆäÖÐF2±íÏÖÐÍΪ·ÇÅ´ÐÔ¡¢¿¹²¡¡¢»¨·ÛÁ£Ô²ÐÎÖ²Öê±ÈÀý×î¸ßµÄÇ×±¾×éºÏÊÇÒҺͱû£¬ÔÚ¸Ã×éºÏ²úÉúµÄF2±íÏÖÐÍΪ·ÇÅ´ÐÔ¡¢¿¹²¡¡¢»¨·ÛÁ£Ô²ÐεÄÖ²ÖêÖУ¬ÄÜÎȶ¨ÒÅ´«µÄ¸öÌåËùÕ¼µÄ±ÈÀýÊÇ$\frac{1}{9}$£®

·ÖÎö »ùÒò·ÖÀ붨ÂɺÍ×ÔÓÉ×éºÏ¶¨ÂɵÄʵÖÊ£º½øÐÐÓÐÐÔÉúÖ³µÄÉúÎïÔÚ½øÐмõÊý·ÖÁѲúÉúÅä×ӵĹý³ÌÖУ¬Î»ÓÚͬԴȾɫÌåÉϵĵÈλ»ùÒòËæÍ¬Ô´È¾É«Ìå·ÖÀë¶ø·ÖÀ룬·Ö±ð½øÈ벻ͬµÄÅä×ÓÖУ¬ËæÅä×Ó¶ÀÁ¢ÒÅ´«¸øºó´ú£¬Í¬Ê±£¬Î»ÓÚ·ÇͬԴȾɫÌåÉϵķǵÈλ»ùÒò½øÐÐ×ÔÓÉ×éºÏ£»ÓÉÌâÒâÖª£¬Èý¶ÔµÈλ»ùÒò·Ö±ðλÓÚÈý¶ÔͬԴȾɫÌåÉÏ£¬Òò´Ë×ñÑ­×ÔÓÉ×éºÏ¶¨Âɼ׵ĻùÒòÐÍÊÇBBRRDD£¬ÒҵĻùÒòÐÍÊÇBBrrdd£¬±ûµÄ»ùÒòÐÍÊÇbbRRdd£¬¶¡µÄ»ùÒòÐÍÊÇbbrrDD£®

½â´ð ½â£º£¨1£©ÓÉÌâÒâÖª£¬·ÇÅ´ÐÔ»¨·Û£¨B£©ÓöµâÒº³ÊÀ¶É«£¬Å´ÐÔ»¨·Û£¨b£©ÓöµâÒº³Êרɫ£¬º¬ÓÐDµÄ»¨·ÛÁ£³¤ÐΣ¬º¬ÓÐdµÄ»¨·ÛÁ£³ÊÔ²ÐΣ¬Òò´ËÓû¨·ÛÑéÖ¤·ÖÀ붨ÂÉ£¬ÔÓ½»ºó´úÓ¦¸Ãº¬ÓÐBºÍb»ùÒò»òDºÍd»ùÒò£¬¹ÊÑ¡ÔñµÄÔÓ½»×éºÏÊǼ׺ÍÒÒ»òÕßÊǼ׺ͱû£®
£¨2£©Èç¹ûÓ¦Óû¨·Û¼ø¶¨·¨ÑéÖ¤×ÔÓÉ×éºÏ¶¨ÂÉ£¬ÔòÔÓ½»ºó´úÓ¦¸Ãͬʱº¬ÓÐB¡¢bºÍD¡¢d»ùÒò£¬²ÉÓõÄÔÓ½»×éºÏÓ¦¸ÃÊǼ׺ͱû»òÒҺͶ¡£¬°´ÕÕ×ÔÓÉ×éºÏ¶¨ÂÉ£¬BbDd²úÉúµÄÅä×ÓÀàÐͼ°±ÈÀýÊÇBD£ºBd£ºbD£ºbd=1£º1£º1£º1£¬·Ö±ð±íÏÖΪ³¤ÐÎÀ¶É«¡¢Ô²ÐÎÀ¶É«¡¢³¤ÐÎרɫ¡¢Ô²ÐÎרɫ£®
£¨3£©¼×ºÍÒÒÔÓ½»×ÓÒ»´úµÄ»ùÒòÐÍÊÇBBRrDd£¬¼×ºÍ±û×ÓÒ»´ú»ùÒòÐÍÊÇBBRRDd£¬ÒҺͱûÔÓ½»×ÓÒ»´úµÄ»ùÒòÐÍÊÇBbRrdd£¬ÈýÖÖÔÓ½»×éºÏ×ÓÒ»´ú×Ô½»µÃµ½×Ó¶þ´ú¶¼º¬ÓзÇÅ´ÐÔ£¨B£©¡¢¿¹²¡£¨R£©¡¢»¨·ÛÁ£Ô²ÐΣ¨d£©µÄÖ²ÖꣻF2±íÏÖÐÍΪ·ÇÅ´ÐÔ¡¢¿¹²¡¡¢»¨·ÛÁ£Ô²ÐÎÖ²Öê±ÈÀý×î¸ßµÄÇ×±¾×éºÏÊÇÒҺͱû£¬¸Ã×éºÏ²úÉúµÄF2±íÏÖÐÍΪ·ÇÅ´ÐÔ¡¢¿¹²¡¡¢»¨·ÛÁ£Ô²ÐεÄÖ²ÖêµÄ»ùÒòÐÍÊÇB_R_dd£¬ÄÜÎȶ¨ÒÅ´«µÄ¸öÌåµÄ»ùÒòÐÍÊÇBBRRdd£¬ËùÕ¼µÄ±ÈÀýÊÇ$\frac{1}{9}$£®
¹Ê´ð°¸Îª£º
£¨1£©ÒÒ»ò±û
£¨2£©¼×ºÍ±û»òÒҺͶ¡        Ô²ÐÎÀ¶É«¡¢Ô²ÐÎרɫ¡¢³¤ÐÎÀ¶É«¡¢³¤ÐÎרɫ     1£º1£º1£º1
£¨3£©¼×ºÍ±û¡¢ÒҺͱû       ÒҺͱû    $\frac{1}{9}$

µãÆÀ ±¾ÌâÖ¼ÔÚ¿¼²éѧÉúÀí½â»ùÒò·ÖÀ붨ÂɺÍ×ÔÓÉ×éºÏ¶¨ÂɵÄʵÖÊ£¬Ñ§»áÓ¦Óû¨·Û¼ø¶¨·¨ÑéÖ¤»ùÒò·ÖÀ붨ÂɺÍ×ÔÓÉ×éºÏ¶¨ÂÉ£¬²¢Ó¦ÓÃÕýÍÆ·¨½áºÏÒÅ´«¹æÂɽâ´ðÎÊÌ⣮

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿

¢ñ¡¢ÏÂͼʾÈËÌåµ÷½ÚѪѹÉý¸ßµÄ²¿·Ö½á¹¹

1¡¢ÑªÑ¹±ä»¯µÄ¸ÐÊÜÆ÷ÊÇ________£¨ÒªÇóд³ö¾ßÌåλÖã©¡£¸ù¾Ýͼ1¿ÉÖª£¬µ÷½ÚÈËÌåѪѹµÄ·½Ê½ÊÇ__________¡£

2¡¢Í¼Ê¾±íÃ÷µÚÈýÄÔÊÒǰ²à¸¹ÇøÓëñ·ÁþÏÂÆ÷Ö®¼ä´æÔÚ×ÅÉñ¾­Á¬½Ó£¬Í¼2ÖÐÉñ¾­Ôª¢ÙºÍÉñ¾­Ôª¢ÚÖ®¼äµÄa´¦Îª____________£¨½á¹¹£©£¬Ôڸô¦Ð˷ܵĴ«µÝ·½ÏòӦΪ £¨Ìî¡°Ë«Ïò¡±¡¢¡°ÏòÉÏ¡±»ò¡°ÏòÏ¡±£©¡£ ѪѹµÄµ÷½Ú¹ý³ÌÀë²»¿ªÐÅÏ¢µÄ´«µÝ£¬Í¼1ÖеÄÐźŷÖ×ÓÓÐ ¡£

¢ò¡¢ÊÝËØÊÇÒ»ÖÖµ°°×ÖÊÀà¼¤ËØ£¬¿É×÷ÓÃÓÚÏÂÇðÄÔ£¬µ÷½ÚÈ˵ÄʳÓû¡£Æä×÷ÓûúÀíÈçͼËùʾ¡£

3¡¢ÈËÌåÄÚÖ¬·¾º¬Á¿Æ«¸ßʱ£¬ÊÝËØÊÍ·ÅÁ¿Ôö¼Ó£¬ÒýÆðÉñ¾­ÔªAÐË·Ü£¬Éñ¾­ÔªBÊÜÒÖÖÆ£¬Ê¹ÐźŷÖ×ÓxÓëyµÄ±ÈÖµ £¬´Ó¶øÊ¹±¥ÖÐÊàÐË·Ü£»Í¬Ê±Ê¹ÐźŷÖ×ÓzµÄÊÍ·Å £¬¼¢ÖÐÊàÊÜÒÖÖÆ£¬½µµÍÈ˵ÄʳÓû¡£´ó¶àÊý·ÊÅÖÕßѪҺÖÐÊÝËØË®Æ½Ã»ÓнµµÍ£¬ÍƲâÆäÌåÄÚ £¬´Ó¶øÊ¹Ê³Óûʧȥ¿ØÖÆ¡£

4¡¢µ±¸ÎÔàϸ°û²»Äܼ°Ê±½«¶àÓàµÄ¸ÊÓÍÈýõ¥ÒÔ__________ÐÎʽÔ˳ö£¬»úÌ弫Ò×»¼Ö¬·¾¸Î£¬³ýÁËÉãÈëÌ«¶àµÄ¸ÊÓÍÈýõ¥£¬Ö¬·¾¸Î·¢ÉúµÄÔ­Òò»¹¿ÉÄÜÓÐ____________£¨ÖÁÉÙÁ½µã£©¡£

18£®Ä³´ÆÐÛÒìÖêµÄ¶þ±¶ÌåÖ²ÎïµÄÐÛÖêÓë´ÆÖêÓÉR¡¢r»ùÒò¿ØÖÆ£»Óк컨¡¢³È»¨¡¢°×»¨ÈýÖÖ»¨É«µÄÖ²Ö꣬»¨É«ÊÜÁ½¶ÔͬԴȾɫÌåÉÏD¡¢dÓëE¡¢eÁ½¶Ô»ùÒòµÄ¿ØÖÆ£¨DÓëE»ùÒòͬʱ´æÔÚʱ¿ªºì»¨£¬¶þÕß¶¼²»´æÔÚʱ¿ª°×»¨£»Ä³Ð©»ùÒòÐÍÐÛÅä×ÓÖÂËÀ£©£®Ñо¿ÈËÔ±Èý´ÎʵÑé½á¹ûÈçÏ£º
ʵÑéÒ»£ººì»¨Ö²Öê¡ú»¨·ÛÀëÌåÅàÑø£¬ÇïË®ÏÉËØ´¦Àí¡ú°×»¨´ÆÖ꣺°×»¨ÐÛÖê=1£º1
ʵÑé¶þ£º³È»¨Ö²Öê¡ú»¨·ÛÀëÌåÅàÑø£¬ÇïË®ÏÉËØ´¦Àí¡ú°×»¨´ÆÖ꣺°×»¨ÐÛÖê=1£º1
ʵÑéÈý£ººì»¨´ÆÖê¡Áºì»¨ÐÛÖê-F1ºì»¨Ö꣺³È»¨Ö꣺°×»¨Öê=1£º2£º1£¬´ÆÖ꣺ÐÛÖê=1£º1
Çë»Ø´ð£º
£¨1£©ÊµÑéÈýÖУ¬¸ÃÖ²ÎïµÄÔÓ½»¹ý³ÌÓëÍã¶¹µÄÔÓ½»¹ý³ÌÏà±È²»ÐèÒªÈ˹¤È¥ÐÛ²½Ö裮
£¨2£©ÊµÑéÒ»ÖУ¬µ¥±¶ÌåÓýÖÖ»ñµÃµÄ°×»¨ÐÛÖêµÄ»ùÒòÐÍΪRRddee£®
£¨3£©ÊµÑéÈýF1ÖУ¬³È»¨´ÆÖêµÄ»ùÒòÐÍΪrrDdee¡¢rrddEe£®Èô½«ÊµÑéÈýF1ÖеijȻ¨ÐÛÖêÓë³È»¨´ÆÖêÔÓ½»£¬Ôò×Ó´úÖдÆÖêµÄ±íÏÖÐͼ°±ÈÀýΪ³È»¨£º°×»¨=1£º1£®Èô½«ÊµÑéÈýÇ×±¾Öеĺ컨´ÆÖêÓëʵÑé¶þÖеİ׻¨ÐÛÖêÔÓ½»£¬Ôòºó´úÖгȻ¨ÖêµÄ¸ÅÂÊΪ$\frac{1}{2}$£®
£¨4£©ÇëÓÃÒÅ´«Í¼½â±íʾÒÔʵÑéÒ»Öеĺ컨ÐÛÖêÓëʵÑé¶þÖеİ׻¨´ÆÖêΪÇ×±¾ÔÓ½»µÃµ½×Ó´úµÄ¹ý³Ì£®£®

Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com

¾«Ó¢¼Ò½ÌÍø