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¥Ñ ---- ©ó ¬P´Á¥| ¥|¤ë 03, 2003 3:26 pm


1.625
2.(a,b)=(6,8)
3.9014
4.13
5.2012
6.A=90
B=6
C=3
7.0.5
8.25%
9.A>B>C
10.801

1.4^2003+2^n
=2^4006 + 2^n
ª`·N¨ì2^3+1=9=2^3
©Ò¥H¥i³]n>4006
2^4006(1+2^(n-4006))
«hn-4006=3
n=4009

2.
³]¬ï¹L¶ê¤ß¤Î12®É¨º¤@½u¬°0«×¡A¥B
¤@®æ¦³360/60=6«×
³]¥~¥X¦Y¶º®É¶¡¬°12®Éa¤À¡A«h¨¤«×¬°
¤À°wÂI6a
®É°wÂIa/2
«h6a-(a/2)=55
11a/2=55
a=10
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360-6b+b/2=55
11b/2=305
b=610/11
¬G¥X¥~(610/11 - 10)=500/11¤ÀÄÁ

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¥Ñ ming ©ó ¬P´Á¥| ¥|¤ë 03, 2003 3:49 pm


1.125
2.8,8
3.9012
4.12
5.2012
6A=46.25,B=-37.75,C=-3.5
7.1/2
8.25%
9.A>B>C
10.801
¤@ if2^4006+2^n=2^4006(1+2^(n-4006))is a prefect square,(1+2^(n-4006))must be a prefect square.obviously n-4006=3 is a solution.n=4009
¤G let he went at 12:a and back at 12:b.
for a
a/60*360+a/60*360/12=55
a=10
for b
360-6b+b/2=55
b=610/11
so he went for b-a=500/11minute

ming
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¥Ñ µY~~ ©ó ¬P´Á¥| ¥|¤ë 03, 2003 4:20 pm


1)125
2) a=9, b=6
3)9027
4)10
5)2004
6)C= 72

7)

8)75%

9)  A = -0.01
B= -0.01
C = -0.01



10)3ªº­¿¼Æ: 5536
     4ªº­¿¼Æ:4000


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4ªº2003¦¸¤è=2ªº2(2003)¦¸¤è
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2^n =0

n= undefined

or

4ªº2003¦¸¤è+2ªºn¦¸¤è= 4ªº2004¦¸¤è
                            2ªºn¦¸¤è=4ªº2004¦¸¤è- 4ªº2003¦¸¤è
                n log 2= 2004 log4 -2003log4
                    n = log4/log2
                       n =2


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55∘=55degree ¶Ü?

360«×/60minutes= 6 degree/min

55/6=¬ù9 mins
time go out: 12:09


¦^¨Ó®É¬O 9+5 min
time=1: 14¤À

¥X¥h¤F1hours and 5mins

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¥Ñ Raceleader ©ó ¬P´Á¥| ¥|¤ë 03, 2003 5:46 pm


°ÝÃD1: 125

°ÝÃD2: a=0, b=8, (a,b)=(0,8)

°ÝÃD3: °²³]¦³¥|±Ë¤­¤J,9028

°ÝÃD4: 4¦~ (1999,2011¬O½è¼Æ¦~)

°ÝÃD5: 2012

°ÝÃD6:

°ÝÃD7: a=1/2

°ÝÃD8:

°ÝÃD9: A > B > C

°ÝÃD10: 1601

Raceleader
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¥Ñ kevin ©ó ¬P´Á¥| ¥|¤ë 03, 2003 8:21 pm


¶ñ¥R:
1.(125)
2.¼Æ¹ï(0,8)
3.(6009)
4.(12)
5.(2012)
6.
7.(1/2)
8.(25)
9.
10.(702
­pºâ:
1.
­ì¦¡:42003+2n¬O§¹¥þ¥­¤è¼Æ
42003+2n
=24006+2n
¥O°²³]n=4006+a
24006+24006+a
=24006(1+2a)
1+2a  ­Y¬O§¹¥þ¥­¤è¼Æ
«h.42003+2n´N¬O§¹¥þ¥­¤è¼Æ
1+2a¥i¥H»´©ö¬Ý¥Xa=3®É
1+8=9=32
n=4006+a
a=3
n=4006+3=4009
2.
°²³]¥Xªù®É¬°12:x
¦^®a®É¬°12:y
®É°w¤@¤ÀÄÁ¨«0.5«×
¤À°w¤@¤ÀÄÁ¨«6«×
¥Xªù®É:6x-0.5x=55
x=10
¦^®a®É:6y-0.5y=360-55
5.5y=305
y=610/11
y-x=610/11-10=500/11
ans:¹L¤F500/11¤À

kevin
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¥Ñ ¯Á¬¥¦è ©ó ¬P´Á¤» ¥|¤ë 05, 2003 9:50 am


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¥Ñ Herbie ©ó ¬P´Á¤é ¥|¤ë 06, 2003 6:08 pm


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¥Ñ E.T ©ó ¬P´Á¤é ¥|¤ë 13, 2003 3:51 pm


1.  125
2.  4,8
3.  8009
4.  46
5.  2012

±óÅv other question §Ú²{¦b¦³¨Æ

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¥Ñ Herbie ©ó ¬P´Á¤» ¤­¤ë 31, 2003 8:52 pm


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