¡¾ÌâÄ¿¡¿ÒÑÖªÍ㶹£¨2n£½14£©µÄ»¨É«ÊÜ·ÇͬԴȾɫÌåÉϵÄÁ½¶ÔµÈλ»ùÒòµÄ¿ØÖÆ¡£ºì»¨£¨A£©¶Ô°×»¨£¨a£©ÎªÍêÈ«ÏÔÐÔ¡£B»ùÒòΪÐÞÊλùÒò£¬Äܵ­»¯»¨µÄÑÕÉ«£¬BBÓëBbµÄµ­»¯³Ì¶È²»Í¬£¬Ç°Õßµ­»¯Îª°×É«£¬ºóÕßµ­»¯Îª·ÛÉ«£¬¶ÔÓ¦µÄ»ùÒò×é³ÉÈçϱíËùʾ¡£Çë»Ø´ðÎÊÌ⣺

»¨É«

ºìÉ«

·ÛÉ«

°×É«

»ùÒò×é³É

A_bb

A_Bb

aa__¡¢__BB

£¨1£©¿ØÖÆÍ㶹»¨É«ÒÅ´«µÄÁ½¶Ô»ùÒò×ñÑ­»ùÒòµÄ____________¹æÂÉ£¬°×»¨Í㶹µÄ»ùÒòÐÍÓÐ________ÖÖ¡£

£¨2£©ÒÑÖªÁ½Öê´¿ºÏµÄ°×»¨Í㶹ÔÓ½»µÃµ½µÄF1¾ù±íÏÖΪ·ÛÉ«£¬F1×Ô½»²úÉúF2¡£

¢Ù¸ÃÔÓ½»ÊµÑéµÄÇ×±¾»ùÒòÐÍΪ________£»F2Öпªºì»¨¸öÌåµÄ±ÈÀýÕ¼________¡£

¢Ú½«F1²â½»£¬ºó´ú±íÏÖÐͼ°¶ÔÓ¦±ÈÀýΪ__________________¡£

¢Û½«F2Öд¿ºÏ¸öÌåÔÓ½»£¬F3¿ª°×»¨µÄ»ùÒòÐÍ×éºÏÓÐ________ÖÖ£¨²»¿¼ÂÇÕý·´½»£©¡£

¢ÜF2µÄ¿ª°×»¨¸öÌåÖд¿ºÏÌåµÄ±ÈÀýΪ________¡£ÈÃF2Öпª·Û»¨µÄ¸öÌåËæ»ú½»Å䣬×Ó´ú¿ª°×»¨¸öÌåµÄ±ÈÀýΪ________¡£

¡¾´ð°¸¡¿×ÔÓÉ×éºÏ 5 AABB¡Áaabb 3/16 ºìÉ«¡Ã·ÛÉ«¡Ã°×É«£½1¡Ã1¡Ã2 2 3/7 1/3

¡¾½âÎö¡¿

¸ù¾ÝÌâÒâ¿ÉÖª£¬Í㶹µÄ»¨É«ÊÜ·ÇͬԴȾɫÌåÉϵÄÁ½¶ÔµÈλ»ùÒòµÄ¿ØÖÆ£¬Òò´Ë·ûºÏ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ¡£¸ù¾Ý±íÖÐÐÅÏ¢¿ÉÖª£¬ºìÉ«µÄ»ùÒòÐÍΪA_bb¡¢·ÛÉ«µÄ»ùÒòÐÍΪA_Bb¡¢°×É«µÄ»ùÒòÐÍΪaa__¡¢__BB£¬°üÀ¨aaBB¡¢aaBb¡¢aabb¡¢AABB¡¢AaBB¹²5ÖÖ»ùÒòÐÍ¡£

£¨1£©¸ù¾ÝÌâÒâ¿ÉÖª£¬¿ØÖÆÍ㶹»¨É«ÒÅ´«µÄÁ½¶Ô»ùÒòλÓÚ·ÇͬԴȾɫÌåÉÏ£¬Òò´Ë×ñÑ­»ùÒò×ÔÓÉ×éºÏ¶¨ÂÉ£¬¸ù¾ÝÒÔÉÏ·ÖÎö¿ÉÖª£¬°×»¨Í㶹µÄ»ùÒòÐÍÓÐaaBB¡¢aaBb¡¢aabb¡¢AABB¡¢AaBB¹²5ÖÖ¡£

£¨2£©¢Ù¸ù¾ÝÒÔÉÏ·ÖÎö¿ÉÖª£¬°×»¨Í㶹µÄ»ùÒòÐÍÓÐaaBB¡¢aaBb¡¢aabb¡¢AABB¡¢AaBB¹²5ÖÖ£¬·ÛÉ«µÄ»ùÒòÐÍΪA_Bb¡£½áºÏÌâÒ⣬Á½Öê´¿ºÏµÄ°×»¨Í㶹ÔÓ½»µÃµ½µÄF1¾ù±íÏÖΪ·ÛÉ«£¬ÔòÁ½Öê´¿ºÏµÄ°×»¨Í㶹»ùÒòÐÍ·Ö±ðΪaabb¡¢AABB£¬ÄÇôF1µÄ»ùÒòÐÍΪAaBb£¬F1×Ô½»ºó´úΪ9A_B_¡¢3A_bb¡¢3aaB_¡¢1aabb£¬ÆäÖпªºì»¨¸öÌåµÄ»ùÒòÐÍΪA_bb£¬ËùÕ¼±ÈÀýΪ3/16¡£

¢Ú¸ù¾ÝÌâÒ⣬½«F1²â½»£¬¼´AaBb¡Áaabb£¬ºó´ú»ùÒòÐͼ°±íÏÖÐÍΪ1AaBb·ÛÉ«¡¢1AabbºìÉ«¡¢1aaBb°×É«¡¢1aabb°×É«£¬¹Ê±íÏÖÐͼ°¶ÔÓ¦±ÈÀýΪºìÉ«¡Ã·ÛÉ«¡Ã°×É«£½1¡Ã1¡Ã2¡£

¢Û¸ù¾ÝÒÔÉÏ·ÖÎö¿ÉÖª£¬F1×Ô½»ºó´úF2Ϊ9A_B_¡¢3A_bb¡¢3aaB_¡¢1aabb£¬½«F2Öд¿ºÏ¸öÌåÔÓ½»£¬Ê¹F3¿ª°×»¨£¨aa__¡¢__BB£©£¬ÔòF2Öд¿ºÏ¸öÌåµÄ»ùÒòÐÍÖбØÐ붼ÓÐa»òÕ߶¼ÓÐB£¬Òò´ËF3¿ª°×»¨µÄ»ùÒòÐÍ×éºÏÓÐaaBB¡Áaabb¡¢AABB¡ÁaaBB2ÖÖ¡£

¢Ü¸ù¾ÝÒÔÉÏ·ÖÎö¿ÉÖª£¬F1×Ô½»ºó´úF2Ϊ9A_B_¡¢3A_bb¡¢3aaB_¡¢1aabb£¬ÔòF2µÄ9A_B_ÖÐÓÐ6A_Bb¿ª·Û»¨£¬ÓÐ3A_BB¿ª°×»¨£¬3aaB_±íÏÖΪ°×»¨£¬1aabb±íÏÖ°×»¨£¬¹ÊF2µÄ¿ª°×»¨¸öÌåÖд¿ºÏÌåµÄ±ÈÀýΪ3/7¡£ÈÃF2Öпª·Û»¨µÄ¸öÌåËæ»ú½»Å䣬¼´»ùÒòÐÍΪ6A_BbµÄ¸öÌåËæ»ú½»Å䣬ÆäÖÐA_¼´1/3AA¡¢2/3Aa£¬²úÉúµÄÅä×ÓΪ2/3A¡¢1/3a£¬Bb²úÉúÅä×ÓΪ1/2B¡¢1/2b£¬Ëæ»ú½»Åäºó´ú³öÏÖ°×»¨aa__¡¢__BB£¬Ôò1/3a¡Á1/3a¡Á1+1/2B¡Á1/2B¡Á£¨1-1/3a¡Á1/3a£©=1/3¡£

Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º¸ßÖÐÉúÎï À´Ô´£º ÌâÐÍ£º

¡¾ÌâÄ¿¡¿ÏÂÁÐÓйش«Í³·¢½Í¼¼Êõ¼°ÆäÔÚʳƷÉú²úÖÐÓ¦ÓõÄÐðÊö£¬ÕýÈ·µÄÊÇ£¨ £©

A.ÄðÖƹû¾Æ¹ý³ÌÖÐÃÜ·âµÄʱ¼äÔ½³¤£¬²úÉúµÄ¾Æ¾«Á¿¾ÍÔ½¶à

B.ÄðÖƹû¾Æ¡¢¹û´×ËùÐèµÄ΢ÉúÎï±ØÐëÔÚÑϸñÎÞ¾úÌõ¼þϲÅÄÜ·¢½Í

C.ÄðÖƹû¾Æ¡¢¹û´×ËùÐè¾úÖֵķ¢½Íµ×Îï¡¢·¢½ÍÌõ¼þ¾ùÏàͬ

D.ÖÆ×÷¸¯ÈéʱÐèÀûÓÃëù²úÉúµÄø·Ö½â¶¹¸¯Öеĵ°°×ÖÊ¡¢Ö¬·¾µÈÎïÖÊ

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÉúÎï À´Ô´£º ÌâÐÍ£º

¡¾ÌâÄ¿¡¿Çë»Ø´ðÏÂÁÐÓйعûÓ¬µÄÎÊÌ⣺

£¨1£©¹ûÓ¬µÄÐÔ±ð¾ö¶¨·½Ê½ÊÇXYÐÍ£¬×Ó´úÐÛÓ¬ÐÔȾɫÌåµÄÀ´Ô´ÊÇ______¡£

£¨2£©Èô¹ûÓ¬µÄºìÑÛ£¨B£©¶Ô°×ÑÛ£¨b£©ÎªÏÔÐÔ£¬Õý³£Çé¿öÏ£¬ÒªÏëͨ¹ýÒ»´ÎÔÓ½»È·¶¨ÉÏÊö»ùÒòÊÇλÓÚ³£È¾É«ÌåÉÏ£¬»¹ÊÇλÓÚXȾɫÌåÉÏ£¬±ØÐëÑ¡ÔñµÄÇ×±¾±íÏÖÐÍ×éºÏÊÇ_____¡£Èô×Ó´ú______________£¬Ôò¿ØÖƺìÑÛ£¨B£©ºÍ°×ÑÛ£¨b£©µÄ»ùÒòλÓÚXȾɫÌåÉÏ¡£¼ÙÉèÉÏÊö»ùÒòλÓÚXȾɫÌåÉÏ£¬ÔÚÉÏÊöʵÑéµÄ×Ó´úÖгöÏÖÁËÒ»Ö»ÐÔȾɫÌå×é³ÉΪXXYµÄ°×ÑÛ´ÆÓ¬£¬Ôò¿ÉÄܵÄÔ­ÒòÊÇ______________________________¡££¨´Ó¼õÊý·ÖÁѽǶÈ×ö³öÁ½ÖÖºÏÀí½âÊÍ£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÉúÎï À´Ô´£º ÌâÐÍ£º

¡¾ÌâÄ¿¡¿ÏÖÓÐÒ»Í㶹ÖÖȺ£¨¸öÌå×ã¹»¶à£©£¬ËùÓиöÌåµÄ»ùÒòÐ;ùΪAa£¬ÒÑÖªÒþÐÔ´¿ºÏ×Ó²úÉúµÄÅä×Ó¾ùûÓлîÐÔ£¬¸ÃÖÖȺÔÚ×ÔȻ״̬Ï·±Ö³n´úºó£¬×Ón´úÖÐÄܲúÉú¿ÉÓýÅä×ӵĸöÌåËùÕ¼±ÈÀýΪ£¨¡¡¡¡£©

A.£¨2n+1£©/£¨2n+2£©B.£¨2n-1+2£©/£¨2n+1£©

C.£¨2n-1-1£©/£¨2n+1£©D.£¨2n+1£©/£¨2n+1£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÉúÎï À´Ô´£º ÌâÐÍ£º

¡¾ÌâÄ¿¡¿¹ØÓÚ¼ÓøϴÒ·۵ÄÐðÊö£¬ÕýÈ·µÄÊÇ

A.¼ÓÉÙÁ¿°×´×ÄÜÔöÇ¿¼ÓøϴÒ·ÛÖÐøµÄ»îÐÔ

B.Ï´Ò·ÛÖбíÃæ»îÐÔ¼Á¶Ôµ°°×ø»îÐÔ¿ÉÄÜÓÐÒÖÖÆ×÷ÓÃ

C.¸ßÎÂÒ×ʹøʧ»î£¬Òò´ËÀäˮϴµÓÈ¥ÎÛЧ¹ûÓ¦¸Ã±ÈÎÂË®ºÃ

D.Ìí¼Ó¸´ºÏøµÄ¼ÓøϴÒ·Û×ÜÄÜ´ïµ½½ÏºÃµÄÏ´µÓЧ¹û

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÉúÎï À´Ô´£º ÌâÐÍ£º

¡¾ÌâÄ¿¡¿ÏÂÁйØÓÚÃâÒßϵͳ×é³ÉµÄÐðÊö£¬ÕýÈ·µÄÊÇ£¨ £©

A.ÃâÒßϵͳÓɹÇËè¡¢ÐØÏÙ¡¢±âÌÒÌå¡¢ÁܰͽáµÈÆ÷¹Ù×é³É

B.ÃâÒßÆ÷¹ÙÊÇÃâÒßϸ°ûÉú³É¡¢³ÉÊì»ò¼¯Öзֲ¼µÄ³¡Ëù

C.ÃâÒßϸ°ûÓÐTϸ°ûºÍBϸ°ûÁ½ÖÖ£¬·Ö±ðÔÚÐØÏٺ͹ÇËèÖгÉÊì

D.ÃâÒß»îÐÔÎïÖÊÊÇÓÉÃâÒßϸ°û²úÉúµÄ·¢»ÓÃâÒß×÷ÓõÄÎïÖÊ

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÉúÎï À´Ô´£º ÌâÐÍ£º

¡¾ÌâÄ¿¡¿Ò»¶Ô±íÏÖÐÍÕý³£µÄ·ò¸¾ÉúÁËÒ»¸ö¼È°×»¯ÓÖɫäµÄº¢×Ó¡£¸Ã·ò¸¾ÔÙÉúÒ»¸öÁ½²¡¼æ·¢µÄº¢×ӵĸÅÂÊÊÇ£¨ £©

A.1/16B.6/16C.7/16D.9/16

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÉúÎï À´Ô´£º ÌâÐÍ£º

¡¾ÌâÄ¿¡¿×ÔÈ»½çÖйûÓ¬³áµÄÑÕÉ«Óа×É«ºÍ»ÒÉ«Á½ÖÖ£¬ÓɵÈλ»ùÒòA/a¿ØÖÆ¡£Ñо¿ÕßÓûҳáÓë°×³á¹ûÓ¬ÔÓ½»£¬ÎÞÂÛÕý½»»¹ÊÇ·´½»£¬×ÓÒ»´ú¾ùΪ»Ò³á¡£Çë»Ø´ðÏÂÁÐÎÊÌ⣺

(1)ÔÓ½»µÄF1Ëæ»ú½»ÅäµÃµ½F2£¬F2ÔÙËæ»ú½»ÅäµÃµ½µÄ×Ó´ú»Ò³áÖд¿ºÏ×ÓËùÕ¼µÄ±ÈÀýΪ_____¡£

(2)Ñо¿ÈËÔ±·¢ÏÖ£¬B»ùÒòµÄ²úÎïÄܹ»ÒÖÖÆA»ùÒò±í´ï¡£½«Ò»¸öB»ùÒòµ¼Èë»ùÒòÐÍΪaaµÄÊܾ«ÂѵÄȾɫÌåÉÏ£¬Êܾ«ÂÑ·¢Óý³É¹ûÓ¬¼×£¬ÎªÈ·¶¨B»ùÒòµ¼ÈëÊܾ«ÂѵÄÄÄÖÖȾɫÌåÉÏ£¬Éè¼ÆÈçÏÂʵÑ飺

¢ÙÈô¼×ΪÐÛÐÔ£¬Èü×Óë´¿ºÏµÄ»Ò³á´Æ¹ûÓ¬ÔÓ½»£¬×Ó´ú³öÏÖ±íÏÖÐͼ°±ÈÀýΪ»Ò´Æ£º°×ÐÛ=1:1£¬ÓÉ´Ë¿ÉÖ¤Ã÷£º_______¡£

¢ÚÈô¼×Ϊ´ÆÐÔ£¬Èü×Óë´¿ºÏµÄ»Ò³áÐÛ¹ûÓ¬ÔÓ½»£¬¶à´ÎÔÓ½»µÄ½á¹ûÖÐ×Ó´ú±íÏÖÐÔ¼°±ÈÀý¾ùÏàͬ£¬ÓÉ´Ë¿ÉÖ¤Ã÷£º_______¡£

(3)ÈôijÖÖ¹ûÓ¬µÄ³¤³áºÍ²Ð³áÓɵÈλ»ùÒòD/d¿ØÖÆ£¬ÓûÒÉ«²Ð³á¹ûÓ¬Óë°×É«³¤³á¹ûÓ¬ÔÓ½»£¬F1ÓлÒÉ«³¤³á¹ûÓ¬ºÍ°×É«³¤³á¹ûÓ¬¡£ÈûÒÉ«³¤³á´ÆÐÛ¹ûÓ¬ÔÓ½»£¬×Ó´ú´ÆÐÛ¹ûÓ¬¾ù³öÏÖ»ÒÉ«³¤³á£»»ÒÉ«²Ð³á£º°×É«³¤³á£º°×É«²Ð³á=6:2:3:1¡£ÊÔ·ÖÎö³öÏָ÷ÖÀë±ÈµÄÔ­Òò£º

¢Ù____________________________________£»

¢Ú____________________________________¡£

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º¸ßÖÐÉúÎï À´Ô´£º ÌâÐÍ£º

¡¾ÌâÄ¿¡¿ÏÂÁÐÓйØÐðÊö´íÎóµÄÊÇ

A.¹Ç÷À¼¡Ï¸°û·Ö»¯¹ý³ÌÖУ¬¿ØÖƼ¡¶¯µ°°×ºÏ³ÉµÄ»ùÒò½«»á±í´ï

B.Ë¥ÀÏϸ°ûµÄ´úлˮƽ½µµÍ£¬ËùÓÐøµÄ»îÐÔ½µµÍ

C.±»²¡Ô­Ìå¸ÐȾϸ°ûµÄÇå³ýÊôÓÚϸ°ûµòÍö£¬ÓÐÖúÓÚ»úÌåά³Ö×ÔÉíµÄÎȶ¨

D.ϸ°û°©±äʱ£¬¼×Ì¥µ°°×ºÍ°©Åß¿¹Ô­µÈº¬Á¿¿ÉÄÜÔö¼Ó

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸