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lilihurry

Òø³æ (СÓÐÃûÆø)

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Éè|z-1/z|=a,(a>0),ÇÒargz=¦°/3,Çóz.
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» ±¾Ö÷ÌâÏà¹Ø¼ÛÖµÌùÍÆ¼ö£¬¶ÔÄúͬÑùÓаïÖú:

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lilihurry

Òø³æ (СÓÐÃûÆø)

Éè|(z-1)/z|=a,(a>0),ÇÒargz=¦°/3,Çóz.
2Â¥2014-02-25 17:28:42
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

feixiaolin

ÈÙÓþ°æÖ÷ (ÎÄ̳¾«Ó¢)

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Éèz=x+iy
argz=¦°/3, z=x+isqrt(3)x
´úÈë|(z-1)/z|=a
sqrt((x-1)^2+3x^2)/2/x=a, x>0
(x-1)^2+3x^2=4*a^2*x^2
4x^2-2x+1=4*a^2*x^2
4(1-a^2)x^2-2x+1=0
È¡xµÄÕý¸ù

[ Last edited by feixiaolin on 2014-2-28 at 09:43 ]
3Â¥2014-02-25 17:37:37
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