³õһϲáÊýѧÌ⣨Ҫ¹ý³Ì£©¼±£¡£¡£¡
·Ç³£¸ÐлÄ㣡̫ллÁË£¡
1 Èç¹û3µÄa´ÎÃÝ£½9µÄb´ÎÃÝ£¬Ôòba=______.
3^a=9^b=(3^2)^b=3^(2*b) a=2b ba=12
2 ÄãÄÜʹÓÃËùѧµÄ֪ʶ¶Ô±È2µÄ55´ÎÃÝ£¬3µÄ44´ÎÃÝ£¬4µÄ33´ÎÃÝËüÃǵĴóСÂð£¿
2^55=32^11, 3^44=81^11, 4^33=64^11
3^44>4^33>2^55
3 ¸ù¾ÝÏÖÓеÄ֪ʶ£¬ÈôÒÑÖª10µÄa´ÎÃÝ£½200£¬10µÄb´ÎÃÝ£½15ʱ£¬²»ÄÜÇó³öaºÍbµÄÖµ,µ«ÊÇСºìȴʹÓÃËüÃÇÇó³öÁË4µÄa´ÎÃÝ¡Â2µÄ2b´ÎÃݵÄÖµ£¬ÄãÖªµÀËýÊÇÔõÑù¼ÆËãµÄÂð£¿
10^a10^b=200(15)=1000=10^(a-b)
4^a2^(2b)=4^(a-b)
1000=10^(a-b)=10^3 a-b=3
4^(a-b)=4^3=64
1.ÒòΪ9^b=£¨3^2£©^b=3^2b=3^a.¹Êa=2b,b/a=0.5
2.
3. 10µÄa´ÎÃÝ£½200£¬10µÄb´ÎÃÝ£½15,Ôò10^a/10^b=200X5=1000.a/b=3.
4µÄa´ÎÃÝ¡Â2µÄ2b´ÎÃݵÄÖµÓÀÔ¶µÈÓÚ1¡£ÒòΪ4^a=( 2^2)^a=2^2a,¼´ 4µÄa´ÎÃÝ¡Â2µÄ2b´ÎÃݵÈÓÚ1µÄa/b´ÎÃÝ£¬ÖµÊÇ1¡£
²»ÖªµÀÄãµÄÌâÄ¿ÊDz»Êdzö´íÁË
×î¼Ñ´ð°¸ - ÓÉÌáÎÊÕß2007-03-14 19:47:17Ñ¡³ö
1¡£
3µÄa´ÎÃÝ=9µÄb´ÎÃÝ ¼´£º3µÄa´ÎÃÝ=3µÄ2b´ÎÃÝ
ËùÒÔ£ºa=2b b/a=1/2
2¡£
2µÄ55´ÎÃݵÈÓÚ2µÄ5*11´ÎÃÝ£¬3µÄ44´ÎÃݵÈÓÚ3µÄ4*11´ÎÃÝ
ÒòΪ2µÄ5´ÎÃÝ<3µÄ4´ÎÃÝ
ËùÒÔ2µÄ55´ÎÃÝСÓÚ3µÄ44´ÎÃÝ
3.
ÒòΪ£º 10µÄa´ÎÃÝ=200
ÓÖ£º 10µÄb´ÎÃÝ=1/5
ËùÒÔ£º 1000x 10µÄb´ÎÃÝ=200(µÈʽÁ½±ßͬ³Ë1000£©
10µÄ´ÎÃÝx 10µÄb´ÎÃÝ=200
¼´£º 10µÄ(3+b)´ÎÃÝ=200
ËùÒÔ£º 10µÄaÃÝ=10µÄ£¨3+b£©
a=3+b
4µÄa´ÎÃÝ=4µÄ3+b´ÎÃÝ=2µÄ6´ÎÃÝx2µÄ2b´ÎÃÝ
ËùÒÔ£º4µÄa´ÎÃÝ/2µÄ2b´ÎÃÝ=2µÄ6´ÎÃÝx2µÄ2b´ÎÃÝ/µÄ2b´ÎÃÝ
=2µÄ6´ÎÃÝ=64
ÓÃÄĸöÏÂÔØ¹¤¾ßËÙ¶È»á¶Ô±È¿ìÄØ??
ÍøÕ¾ÊÀ½çÅÅÃû¸ßÔõôÀ¹ã¸æ
|