ͻȻÏëµ½Ò»¸öÎÊÌâ:0.9999999¡­ ÕæµÄµÈÓÚ 1 Âð?

¿ÉÊÇÓеã¸ßÊý±³¾°£¬Ñ§¹ýÊýѧ·ÖÎöµÄÈË¿ÉÄÜ»á¸æËßÄ㣬ËüÃÇÊÇÏàµÈµÄ£¬¶øÇÒÒ»°ãËûÃÇ»áÇ¿µ÷1Óë0.9999¡­ÊÇÑϸñÏàµÈµÄ¡£½ñÌìÎÒÃǾÍÀ´ËµËµ1Óë0.9999¡­µÄ´óСÎÊÌâ¡£ 1Óë0.9999¡­µÄ´óСÕù±çÔÚÓÚµ½µ×ËüÃÇÊÇÏàµÈ»¹ÊÇ1¸ü´ó£¬³ÖÕâÁ½ÖÖ²»Í¬¹ÛµãµÄÈËÊýÁ¿¶¼ºÜ¶à£¬»¥Ïà¶¼²»ÄÜ˵·þ¶Ô·½£¬¶¼¾õµÃ¶Ô·½ÊÇÔÚÌôÕ½×Ô¼ºµÄ¿ÆÑ§ÐÅÑö¡£Ö§³Ö1Óë0.9999


0.999999999Ñ­»·µÈÓÚ1

½áÂÛÃ÷È·£º0.999999999Ñ­»·µÈÓÚ1¡£ÏÂÃæÊÇËÄÖÖÖ±¹ÛµÄÖ¤Ã÷·½·¨£º1. ÉèxµÈÓÚ0.999999999999£¬Í¨¹ý³ËÒÔ10£¬ÎÒÃǵõ½10x=9.99999999999£¬Á½Ê½Ïà¼õµÃµ½10x-x=9£¬´Ó¶øµÃ³öx=1¡£2...


ÉñÆæµÄÊýѧ¹ØÏµ,0.9999999Ñ­»·µÈÓÚ1È´²»ºãµÈÓÚ1

½áÂÛ¿ÉÒÔÖ±½Ó¸æËß´ó¼Ò£¬0.99999Ñ­»·¾ÍÊǵÈÓÚ1£¬Ö¤Ã÷¹ý³ÌºÜ¼òµ¥£¬ÎÒÃÇÁî0.999999Ñ­»·µÈÓÚx£¬Ôò10³ËÒÔ0.99999Ñ­»·µÈÓÚ9.999999Ñ­»·£¬Ò²¾ÍÊÇ10x=9.99999Ñ­»·£¬²»†ªà£¬¾ßÌå...


Ϊʲô0.99999999¡­µÄÎÞÏÞÑ­»·Óë1ÏàµÈ?

µÚÒ»ÖÖ£¬×î¼òµ¥µÄ£ºÉèx=0.9999999999999¡­¡­£¬ÄÇô10x=9.99999999999¡­¡­£¬µÃµ½ 10x-x=9 µÃx=1 µÚ¶þÖÖ£¬Ò²ºÜ¼òµ¥µÄ£ºÉèx=0.999999999999¡­¡­£¬ÄÇôx/3=0.3333333...


×î½üÍøÉϳ³0.9999999¡­¡­µÄÑ­»·µÈÓÚ1ÄãÔÞ³ÉÂð?

ËùÒÔÓÀԶСÓÚ0.9999...µÄÎÞÏÞÑ­»·¡£ÕâÑùÄã¾Í»á·¢ÏÖÉϱߵÄ˵·¨¶¼ÊÇÕë¶ÔÓÐÏÞλСÊýËù˵µÄ£¬¶øÕâ¸ö0.9999...µÄÎÞÏÞÑ­»·¾ÍÊÇ1¡£µ±È»£¬ÕâÖ»ÊÇ˵Ã÷...


Ϊʲô˵0.9999999¡­¡­¡­ µÈÓÚ1ÄØ?

0.999999999... ºÍ 0.999...999 ÔÚÊýѧÉϱíʾµÄÊÇÍêÈ«²»Í¬µÄÁ½¸öÊý¡£Ç°Õß±íʾ9µÄ¸öÊýÊÇÎÞÇî¶à¸ö£»¶øºóÕß±íʾ9µÄ¸öÊýÊÇÓÐÏÞ¶à¸ö£¬Òò´ËÔÚËüºóÃæÒ»°ã¶¼ÒªÖ¸Ã÷9µÄ¸ö...


0.9999999¡­»¯¼ò³É×î¼ò·ÖÊýÊǶàÉÙÄØ?

0.9999999...ÎÞÏÞÑ­»·Ð¡Êý»¯³É·ÖÊýÊÇ9/9¡£½â£º¸ù¾ÝСÊý»¯·ÖÊýµÄ¹æÔò¿ÉµÃ£¬¶ÔÓÚÑ­»·Ð¡Êý»¯·ÖÊý£¬¸ÃÑ­»·Ð¡ÊýµÄÑ­»·½ÚÓм¸Î»£¬·Öĸ¾ÍÓм¸¸ö9¡£ËùÒÔ0.9999...=9/9¡£¶øÇÒ...


0.9999999Ñ­»·=?

0.9999999Ñ­»·±íʾµÄÊÇÒ»¸öÎÞÏÞ½Ó½üÓÚ1µÄʵÊý£¬¿ÉÒÔ½üËÆµØ¿´×÷1¡£ÕâÊÇÒòΪÎÒÃÇÖªµÀ£¬10µÄ¸ºÎÞÇî´Î·½(¼´0.00000...1)µÈÓÚ0£¬¶øµ±Õâ¸öÎÞÏÞ½Ó½üÓÚ1µÄʵÊý³ËÒÔ10µÄ¸ºÎÞÇî...


ͻȻÓиöеÄÒÉÎÊ0.9999999999...ÊÇÓÐÀíÊý»¹ÊÇÎÞÀíÊý...

ÎÒÃÇÏÈ´Ó¶¨Ò忪ʼ¡£ÓÐÀíÊý£ºÓÐÀíÊýÊÇÕûÊý£¨ÕýÕûÊý¡¢0¡¢¸ºÕûÊý£©ºÍ·ÖÊýµÄͳ³Æ£¬ÊÇÕûÊýºÍ·ÖÊýµÄ¼¯ºÏ¡£ÎÞÀíÊý£ºÊµÊý·¶Î§ÄÚ²»ÄܱíʾΪÁ½¸öÕûÊýÖ®±ÈµÄÊý¡£Ò²¾ÍÊÇÎÞÏÞ²»Ñ­»·Ð¡Êý¡£½âÊÍ1£º0.9999999=0.9ÊÇÎÞÏÞÑ­»·Ð¡Êý£¬ÔÚʵÊýÓòÖв»ÊÇÎÞÀíÊý£¬ËùÒÔÊÇÓÐÀíÊý ½âÊÍ2£ºÁîx=0.999999=0.9 Ôò£¬10x=9.99999=9.9


ÈçºÎÖ¤Ã÷0.9999999...=1?

Áî0.999999¡­¡­ =0.9+0.09+0.009+0.0009+¡­¡­¼´Ê×ÏîΪ0.9£¬¹«±ÈΪ1/10µÄµÈ±ÈÊýÁÐǰnÏîºÍ ´úÈëµÈ±ÈÊýÁÐÇóºÍ¹«Ê½£ºÔòԭʽ=1-(1/10)^n 1-(1/10)^n£¨µ±...


Ïà¹ØËÑË÷

ÈÈÃÅËÑË÷