本论坛的比较好的内容整理

manthanein

佩尔方程的最小解
http://bbs.emath.ac.cn/forum.php ... 14&fromuid=9502
(出处: 数学研发论坛)

manthanein

一个逻辑题
http://bbs.emath.ac.cn/forum.php ... 21&fromuid=9502
(出处: 数学研发论坛)

manthanein

关于台球无限反弹的运动轨迹
http://bbs.emath.ac.cn/forum.php ... 93&fromuid=9502
(出处: 数学研发论坛)

manthanein

特殊调和级数求和
http://bbs.emath.ac.cn/forum.php ... 49&fromuid=9502
(出处: 数学研发论坛)

manthanein

曲率随弧长均匀变化的平面曲线
http://bbs.emath.ac.cn/forum.php ... 30&fromuid=9502
(出处: 数学研发论坛)

manthanein

a^2+ab+b^2=c^2的整数解
http://bbs.emath.ac.cn/forum.php ... 65&fromuid=9502
(出处: 数学研发论坛)

manthanein

求方程的互质解
http://bbs.emath.ac.cn/forum.php ... 81&fromuid=9502
(出处: 数学研发论坛)

manthanein

求<span class="MathJax_Preview" style="color: inherit;"><span class="MJXp-math" id="MJXp-Span-17"><span class="MJXp-msubsup" id="MJXp-Span-18"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-19" style="margin-right: 0.05em;">a</span><span class="MJXp-mn MJXp-script" id="MJXp-Span-20" style="vertical-align: 0.5em;">2</span></span><span class="MJXp-mo" id="MJXp-Span-21" style="margin-right: 0.26em; margin-left: 0.26em;">+</span><span class="MJXp-mi MJXp-italic" id="MJXp-Span-22">a</span><span class="MJXp-mi MJXp-italic" id="MJXp-Span-23">b</span><span class="MJXp-mo" id="MJXp-Span-24" style="margin-right: 0.26em; margin-left: 0.26em;">+</span><span class="MJXp-msubsup" id="MJXp-Span-25"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-26" style="margin-right: 0.05em;">b</span><span class="MJXp-mn MJXp-script" id="MJXp-Span-27" style="vertical-align: 0.5em;">2</span></span><span class="MJXp-mo" id="MJXp-Span-28" style="margin-right: 0.33em; margin-left: 0.33em;">=</span><span class="MJXp-msubsup" id="MJXp-Span-29"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-30" style="margin-right: 0.05em;">c</span><span class="MJXp-mi MJXp-italic MJXp-script" id="MJXp-Span-31" style="vertical-align: 0.5em;">k</span></span></span></span><span tabindex="0" class="MathJax MathJax_Processed" id="MathJax-Element-3-Frame" style="display: inline-block;"><nobr><span class="math" id="MathJax-Span-19"><span style="width: 1px; height: 0px; overflow: hidden; margin-right: -1px; display: inline-block;"></span><span style="width: 0em; height: 0px; font-size: 124%; display: inline-block; position: relative;"><span style="position: absolute;"><span class="mrow" id="MathJax-Span-20"><span class="msubsup" id="MathJax-Span-21"><span style="width: 1px; height: 0px; overflow: hidden; margin-right: -1px; display: inline-block;"></span><span style="width: 0.95em; height: 0px; display: inline-block; position: relative;"><span style="left: 0em; top: -3.98em; position: absolute; clip: rect(3.39em, 1000.5em, 4.14em, -1000em);"><span class="mi" id="MathJax-Span-22" style="font-family: MathJax_Math-Web; font-style: italic;">a</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span><span style="left: 0.52em; top: -4.34em; position: absolute;"><span class="mn" id="MathJax-Span-23" style="font-family: MathJax_Main-Web; font-size: 70.7%;">2</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span></span></span><span class="mo" id="MathJax-Span-24" style="padding-left: 0.22em; font-family: MathJax_Main-Web;">+</span><span class="mi" id="MathJax-Span-25" style="padding-left: 0.22em; font-family: MathJax_Math-Web; font-style: italic;">a</span><span class="mi" id="MathJax-Span-26" style="font-family: MathJax_Math-Web; font-style: italic;">b</span><span class="mo" id="MathJax-Span-27" style="padding-left: 0.22em; font-family: MathJax_Main-Web;">+</span><span class="msubsup" id="MathJax-Span-28" style="padding-left: 0.22em;"><span style="width: 1px; height: 0px; overflow: hidden; margin-right: -1px; display: inline-block;"></span><span style="width: 0.85em; height: 0px; display: inline-block; position: relative;"><span style="left: 0em; top: -3.98em; position: absolute; clip: rect(3.13em, 1000.42em, 4.14em, -1000em);"><span class="mi" id="MathJax-Span-29" style="font-family: MathJax_Math-Web; font-style: italic;">b</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span><span style="left: 0.42em; top: -4.34em; position: absolute;"><span class="mn" id="MathJax-Span-30" style="font-family: MathJax_Main-Web; font-size: 70.7%;">2</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span></span></span><span class="mo" id="MathJax-Span-31" style="padding-left: 0.27em; font-family: MathJax_Main-Web;">=</span><span class="msubsup" id="MathJax-Span-32" style="padding-left: 0.27em;"><span style="width: 1px; height: 0px; overflow: hidden; margin-right: -1px; display: inline-block;"></span><span style="width: 0.87em; height: 0px; display: inline-block; position: relative;"><span style="left: 0em; top: -3.98em; position: absolute; clip: rect(3.38em, 1000.42em, 4.14em, -1000em);"><span class="mi" id="MathJax-Span-33" style="font-family: MathJax_Math-Web; font-style: italic;">c</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span><span style="left: 0.43em; top: -4.34em; position: absolute;"><span class="mi" id="MathJax-Span-34" style="font-family: MathJax_Math-Web; font-size: 70.7%; font-style: italic;">k</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span></span></span></span></span></span></span></nobr></span><script id="MathJax-Element-3" type="math/tex">a^2+ab+b^2=c^k</script>的解
http://bbs.emath.ac.cn/forum.php ... 66&fromuid=9502
(出处: 数学研发论坛)

manthanein

<span class="MathJax_Preview" style="color: inherit; display: none;"></span><span tabindex="0" class="MathJax" id="MathJax-Element-3-Frame" role="presentation" style="display: inline-block; position: relative;" data-mathml='<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>=</mo><msup><mi>c</mi><mi>c</mi></msup></math>'><nobr aria-hidden="true"><span class="math" id="MathJax-Span-16" style="width: 6.4em; display: inline-block;"><span style="width: 1px; height: 0px; overflow: hidden; margin-right: -1px; display: inline-block;"></span><span style="width: 5.14em; height: 0px; font-size: 124%; display: inline-block; position: relative;"><span style="left: 0em; top: -3.98em; position: absolute; clip: rect(2.99em, 1005.14em, 4.21em, -1000em);"><span class="mrow" id="MathJax-Span-17"><span class="msubsup" id="MathJax-Span-18"><span style="width: 1px; height: 0px; overflow: hidden; margin-right: -1px; display: inline-block;"></span><span style="width: 0.95em; height: 0px; display: inline-block; position: relative;"><span style="left: 0em; top: -3.98em; position: absolute; clip: rect(3.39em, 1000.5em, 4.14em, -1000em);"><span class="mi" id="MathJax-Span-19" style="font-family: MathJax_Math-Web; font-style: italic;">a</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span><span style="left: 0.52em; top: -4.34em; position: absolute;"><span class="mn" id="MathJax-Span-20" style="font-family: MathJax_Main-Web; font-size: 70.7%;">2</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span></span></span><span class="mo" id="MathJax-Span-21" style="padding-left: 0.22em; font-family: MathJax_Main-Web;">+</span><span class="msubsup" id="MathJax-Span-22" style="padding-left: 0.22em;"><span style="width: 1px; height: 0px; overflow: hidden; margin-right: -1px; display: inline-block;"></span><span style="width: 0.85em; height: 0px; display: inline-block; position: relative;"><span style="left: 0em; top: -3.98em; position: absolute; clip: rect(3.13em, 1000.42em, 4.14em, -1000em);"><span class="mi" id="MathJax-Span-23" style="font-family: MathJax_Math-Web; font-style: italic;">b</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span><span style="left: 0.42em; top: -4.34em; position: absolute;"><span class="mn" id="MathJax-Span-24" style="font-family: MathJax_Main-Web; font-size: 70.7%;">2</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span></span></span><span class="mo" id="MathJax-Span-25" style="padding-left: 0.27em; font-family: MathJax_Main-Web;">=</span><span class="msubsup" id="MathJax-Span-26" style="padding-left: 0.27em;"><span style="width: 1px; height: 0px; overflow: hidden; margin-right: -1px; display: inline-block;"></span><span style="width: 0.81em; height: 0px; display: inline-block; position: relative;"><span style="left: 0em; top: -3.98em; position: absolute; clip: rect(3.38em, 1000.42em, 4.14em, -1000em);"><span class="mi" id="MathJax-Span-27" style="font-family: MathJax_Math-Web; font-style: italic;">c</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span><span style="left: 0.43em; top: -4.34em; position: absolute;"><span class="mi" id="MathJax-Span-28" style="font-family: MathJax_Math-Web; font-size: 70.7%; font-style: italic;">c</span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span></span></span></span>&nbsp;<span style="width: 0px; height: 3.98em; display: inline-block;"></span></span></span><span style="width: 0px; height: 1.26em; overflow: hidden; vertical-align: -0.16em; border-left-color: currentColor; border-left-width: 0px; border-left-style: solid; display: inline-block;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>=</mo><msup><mi>c</mi><mi>c</mi></msup></math></span></span><script id="MathJax-Element-3" type="math/tex">a^2+b^2=c^c</script>的整数解
http://bbs.emath.ac.cn/forum.php ... 67&fromuid=9502
(出处: 数学研发论坛)

manthanein

如何求下列极限
http://bbs.emath.ac.cn/forum.php ... 90&fromuid=9502
(出处: 数学研发论坛)