上39步台阶有多少种方法?

zhh823543

<p><span style="FONT-FAMILY: 宋体; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-bidi-font-family: Tahoma; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma;">一个人上台阶的方式有三种，一次跨</span><span lang="EN-US" style="FONT-FAMILY: Tahoma; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-fareast-font-family: 宋体;">1</span><span style="FONT-FAMILY: 宋体; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-bidi-font-family: Tahoma; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma;">、</span><span lang="EN-US" style="FONT-FAMILY: Tahoma; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-fareast-font-family: 宋体;">2</span><span style="FONT-FAMILY: 宋体; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-bidi-font-family: Tahoma; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma;">、</span><span lang="EN-US" style="FONT-FAMILY: Tahoma; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-fareast-font-family: 宋体;">3</span><span style="FONT-FAMILY: 宋体; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-bidi-font-family: Tahoma; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma;">步，那么他要上</span><span lang="EN-US" style="FONT-FAMILY: Tahoma; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-fareast-font-family: 宋体;">39</span><span style="FONT-FAMILY: 宋体; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-bidi-font-family: Tahoma; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma;">步台阶的方法有多少种?</span></p><p><span style="FONT-FAMILY: 宋体; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-bidi-font-family: Tahoma; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma;">如果上4步台阶有7种方法:1111,112,121,211,22,13,31</span></p><p><span style="FONT-FAMILY: 宋体; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-bidi-font-family: Tahoma; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma;"></span><span style="FONT-FAMILY: 宋体; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-bidi-font-family: Tahoma; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma;">用函数解决(无辅助单元格)奖励6金币,<span style="FONT-FAMILY: 宋体; COLOR: black; FONT-SIZE: 10.5pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-font-kerning: 1.0pt; mso-bidi-font-family: Tahoma; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma;">用函数解决(有辅助单元格)奖励4金币,</span>用vba解决奖励3金币</span></p>

[此贴子已经被作者于2010-3-28 11:39:48编辑过]

fjmxwrs

<p>我实在是搞不明白，占位学习先</p>

丑龙

想到这个问题就晕，让高手来答

liaojinli

[em06][em06]

ffffllll

游客，如果您要查看本帖隐藏内容请回复

</p><p>运算N久才算出来</p><p></p><p></p><br/>

[此贴子已经被作者于2010-3-28 19:09:34编辑过]

zhh823543

<div class="msgheader">QUOTE:</div><div class="msgborder"><b>以下是引用<i>ffffllll</i>在2010-3-28 11:17:00的发言：</b><br/><p>这个在数学中有简单的方法……</p></div><p>请用回复帖答题</p>

一剑惊心

<div class="msgheader">QUOTE:</div><div class="msgborder"><b>以下是引用<i>ffffllll</i>在2010-3-28 11:17:00的发言：</b><br/><p>这个在数学中有简单的方法，设台阶为N，学过奥数或者建模的人都应该记得</p><p>N=1&nbsp; F(N)=1</p><p>N=2 F(N)=2</p><p>N&gt;2 F(N)=F(N-1)+F(N-2)</p><p>VBA 中用递归调用就可以实现 占楼后编程</p></div><p></p><p>如果这样的话，不就是斐波那契数列吗？</p><p>S：楼主能提供一下结果是多少吗？</p>

zhh823543

<div class="msgheader">QUOTE:</div><div class="msgborder"><b>以下是引用<i>一剑惊心</i>在2010-3-28 11:33:00的发言：</b><br/><p></p><p>如果这样的话，不就是斐波那契数列吗？</p><p>S：楼主能提供一下结果是多少吗？</p></div><p>12960201916</p>

a1101010

学习了

a1101010

<p>上1级台阶有1种方法；</p><p>上2级台阶有2种方法；</p><p>上3级台阶有4种方法；</p><p>要上N（N&gt;3）级以上台阶方法数等于其前三级（N-1，N-2，N-3）方法数之和。</p><p></p><p>在excel表格中a1、b1、c1单元格中依次输入1、2、4；在d1单元格内输入sum（a1:c1)，选 中d1向下拉到a39得到所求值！</p>