YLL討論網

由 QC 於星期二十一月 06, 2007 7:51 pm

tangpakchiu 寫到:#ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#設x+y+z+u=12#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#SUB#ed_cl##ed_op#/SUB#ed_cl#,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#求#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl# #ed_op#I style="mso-bidi-font-style: normal"#ed_cl#x#ed_op#/I#ed_cl# , #ed_op#I style="mso-bidi-font-style: normal"#ed_cl#y#ed_op#/I#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#為正奇數#ed_op#/SPAN#ed_cl##ed_op#I style="mso-bidi-font-style: normal"#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#z#ed_op#/SPAN#ed_cl##ed_op#/I#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl# , #ed_op#I style="mso-bidi-font-style: normal"#ed_cl#u#ed_op#/I#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#為正偶數之解有#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#__________#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#組#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#.#ed_op#/SPAN#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl#

#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#let x=2p+1, y=2q+1,z=2s+2, u=2t+2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#p,q,r,s are non-negative integer#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#p+q+r+s=3#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#N=C(3+4-1,3)=20#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl#

由 **G@ry** 於星期四七月 19, 2007 7:37 am

tangpakchiu 寫到:#ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#O:P#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿"#ed_cl##ed_op#BR#ed_cl#設x+y+z+u=12#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿"#ed_cl#求#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl# #ed_op#I#ed_cl#x#ed_op#/I#ed_cl# , #ed_op#I#ed_cl#y#ed_op#/I#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿"#ed_cl#為正奇數#ed_op#/SPAN#ed_cl##ed_op#I#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#z#ed_op#/SPAN#ed_cl##ed_op#/I#ed_cl##ed_op#SPAN lang=EN-US#ed_cl# , #ed_op#I#ed_cl#u#ed_op#/I#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿"#ed_cl#為正偶數之解有#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#__________#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿"#ed_cl#組#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#.#ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/O:P#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#BR#ed_cl##ed_op#/DIV#ed_cl#

#ed_op#BR#ed_cl#x+y = 2至8, z+u = 4至10, 組合有四種 {2+10, 4+8, 6+6, 8+4};#ed_op#BR#ed_cl#x,y,z,u在這段數段中皆有四個不同數字可選 [ x,y : (1,3,5,7); z,u : (2,4,6,8)];#ed_op#BR#ed_cl#Σ#ed_op#SUP#ed_cl#4#ed_op#/SUP#ed_cl##ed_op#SUB#ed_cl#i=1#ed_op#/SUB#ed_cl# [i*(4-i)] = C#ed_op#SUP#ed_cl#4-1+3#ed_op#/SUP#ed_cl##ed_op#SUB#ed_cl#4-1#ed_op#/SUB#ed_cl# = 20組#ed_op#BR#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#

由 **ｍａｙ** 於星期六五月 20, 2006 9:18 am

(X+1)+(Y+2)+(Z+3)+(U+4)=18
X+Y+Z+U=8
H(4,8)=165

由 **tangpakchiu** 於星期二四月 18, 2006 9:01 pm

#ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#方程式x+y+z+u=18,#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#滿足#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#SUB#ed_cl##ed_op#/SUB#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#之x>=1,y>=2,z>=3,u>=4的整數解共有#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#__________#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#組#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#.#ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#設x+y+z+u=12#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#SUB#ed_cl##ed_op#/SUB#ed_cl#,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#求#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl# #ed_op#I style="mso-bidi-font-style: normal"#ed_cl#x#ed_op#/I#ed_cl# , #ed_op#I style="mso-bidi-font-style: normal"#ed_cl#y#ed_op#/I#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#為正奇數#ed_op#/SPAN#ed_cl##ed_op#I style="mso-bidi-font-style: normal"#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#z#ed_op#/SPAN#ed_cl##ed_op#/I#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl# , #ed_op#I style="mso-bidi-font-style: normal"#ed_cl#u#ed_op#/I#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#為正偶數之解有#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#__________#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#組#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#.#ed_op#/SPAN#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#BR#ed_cl##ed_op#/DIV#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl#

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Re: [問題]方程問題，幾好玩，但很難

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[問題]方程問題，幾好玩，但很難

(請將產生的程式碼，剪貼至上方文章區！)
[quote="tangpakchiu"]#ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#方程式x+y+z+u=18,#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#滿足#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#SUB#ed_cl##ed_op#/SUB#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#之x>=1,y>=2,z>=3,u>=4的整數解共有#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#__________#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#組#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#.#ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#o:p#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#設x+y+z+u=12#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl##ed_op#SUB#ed_cl##ed_op#/SUB#ed_cl#,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#求#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl# #ed_op#I style="mso-bidi-font-style: normal"#ed_cl#x#ed_op#/I#ed_cl# , #ed_op#I style="mso-bidi-font-style: normal"#ed_cl#y#ed_op#/I#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#為正奇數#ed_op#/SPAN#ed_cl##ed_op#I style="mso-bidi-font-style: normal"#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#z#ed_op#/SPAN#ed_cl##ed_op#/I#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl# , #ed_op#I style="mso-bidi-font-style: normal"#ed_cl#u#ed_op#/I#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#為正偶數之解有#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#__________#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-FAMILY: 文鼎中仿; mso-ascii-font-family: 'Times New Roman'"#ed_cl#組#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="mso-fareast-font-family: 文鼎中仿"#ed_cl#.#ed_op#/SPAN#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#BR#ed_cl##ed_op#/DIV#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl# [/quote]