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2024CNAO决赛选择题第9题解答 - 版本历史
2026-04-29T15:02:43Z
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Alan Wanyan：/* 讨论 */ 新感想
2024-07-25T08:15:13Z
<p><span dir="auto"><span class="autocomment">讨论：</span> 新感想</span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">2024年7月25日 (四) 08:15的版本</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6" >第6行：</td>
<td colspan="2" class="diff-lineno">第6行：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==解答==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==解答==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>以太阳为原点，则太阳-质心距离 $$r=\frac{m_{earth}×1au}{m_{sun}+m_{earth}} = 4.495×10^{5} m$$</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline"><nowiki></ins>以太阳为原点，则太阳-质心距离 $$r=\frac{m_{earth}×1au}{m_{sun}+m_{earth}} = 4.495×10^{5} m$$<ins class="diffchange diffchange-inline"></nowiki></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>再算出在日地系统中太阳的相对绕转速度 $$v=\sqrt{\frac{Gm_{earth}r }{(1au)^{2} } } = 8.950×10^{-2} m·s^{-1} $$</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>再算出在日地系统中太阳的相对绕转速度 $$v=\sqrt{\frac{Gm_{earth}r }{(1au)^{2} } } = 8.950×10^{-2} m·s^{-1} $$</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l16" >第16行：</td>
<td colspan="2" class="diff-lineno">第16行：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==讨论==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==讨论==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>其实分辨率达到 $$a=\frac{c}{2v} =1.676×10^{9} $$ 即可观测到视向速度变化，故答案并不严谨。</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>其实分辨率达到 $$a=\frac{c}{2v} =1.676×10^{9} $$ 即可观测到视向速度变化，故答案并不严谨。</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">（3.352或是1.676，差一个因子2，没什么，数量级对了就行 -- ustc教授lgl）</ins></div></td></tr>
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Alan Wanyan
https://www.astro-init.top/index.php?title=2024CNAO%E5%86%B3%E8%B5%9B%E9%80%89%E6%8B%A9%E9%A2%98%E7%AC%AC9%E9%A2%98%E8%A7%A3%E7%AD%94&diff=2630&oldid=prev
2024年6月12日 (三) 01:36 Alan Wanyan
2024-06-12T01:36:56Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">2024年6月12日 (三) 01:36的版本</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l13" >第13行：</td>
<td colspan="2" class="diff-lineno">第13行：</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>故选C</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>故选C</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">==讨论==</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">其实分辨率达到 $$a=\frac{c}{2v} =1.676×10^{9} $$ 即可观测到视向速度变化，故答案并不严谨。</ins></div></td></tr>
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Alan Wanyan
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Alan Wanyan：创建页面，内容为“==题目== 9. 若想从太阳系外某颗黄纬为0的恒星处，观察到因为地球带来的视向速度变化，则光谱仪的分辨率应道至少约为（ …”
2024-06-12T01:34:42Z
<p>创建页面，内容为“==题目== 9. 若想从太阳系外某颗黄纬为0的恒星处，观察到因为地球带来的视向速度变化，则光谱仪的分辨率应道至少约为（ …”</p>
<p><b>新页面</b></p><div>==题目==<br />
9. 若想从太阳系外某颗黄纬为0的恒星处，观察到因为地球带来的视向速度变化，则光谱仪的分辨率应道至少约为（ ）。<br />
<br />
（A）3×10<sup>5</sup> （B）3×10<sup>7</sup> （C）3×10<sup>9</sup> （D）3×10<sup>11</sup><br />
<br />
<br />
==解答==<br />
以太阳为原点，则太阳-质心距离 $$r=\frac{m_{earth}×1au}{m_{sun}+m_{earth}} = 4.495×10^{5} m$$<br />
<br />
再算出在日地系统中太阳的相对绕转速度 $$v=\sqrt{\frac{Gm_{earth}r }{(1au)^{2} } } = 8.950×10^{-2} m·s^{-1} $$<br />
<br />
分辨率 $$a=\frac{c}{v} =3.352×10^{9} $$<br />
<br />
故选C</div>
Alan Wanyan