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<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">如图，直线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/b957d4c4ec3d9af37ccc474ac9bff537.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">与双曲线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/6a8843c72a9e915c8877dc9103f23d84.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">＞</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）交于点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">A</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，将直线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/3e8ca3ff8d3bcc3029c4962714d42b39.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">向下平移个</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">6</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">单位后，与双曲线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/b13c28248a743e1561ed23308c19666f.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">＞</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）交于点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，与</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">轴交于点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">C</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，则</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">C</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">点的坐标为<u> </u></span></span></span></span></span></span><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><u><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体"> </span></span></span></u><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">；若</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/4849743a9ae4af7a98f687f7110cb420.png" width="21" /><span style="line-height: 150%;"><span style="font-family: Calibri;"><span style="font-size: 12pt;"><span style="line-height:150%">=2</span></span><span style="font-size: 12pt;"><span style="line-height:150%"><span style="font-family:宋体">，则</span></span></span><span style="font-size: 12pt;"><span style="line-height:150%">k=</span></span><u style=""><span style="font-size: 10.5pt;"> </span><span style="font-size: 16px;"> </span></u><u style="font-size: 10.5pt;"> </u><span style="font-size: 12pt;"><span style="line-height:150%"><span style="font-family:宋体">．</span></span></span></span></span><br /> <img height="119" src="/uploads/meth/20201224/a9a4015494a541086fe3210d0f5328aa.png" width="134" />
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自主录题
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<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">解：</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∵</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">将直线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/8c94ca321e81d0782e1903e11ceeeaca.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">向下平移个</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">6</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">单位后得到直线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">BC</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">直线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">BC</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">解析式为：</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/b8834d36eca90e0e0084743f23086a2c.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">﹣</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">6</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">令</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，得</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/8ca462f213035339c8b8da6a587dbd27.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">﹣</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">6=0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">C</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">点坐标为（</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/43b3171909ad735a2c24eb1d53dd66ea.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）；</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∵</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">直线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/ab445bc56e089c637b30c6f2226e3cfc.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">与双曲线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/96c89882729ba85680309e10159f3499.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">＞</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）交于点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">A</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">A</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/3fdb5fb7a344908c68d7b59aaf98e043.png" width="31" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/d344ae1d2ebe7d440c75c66329916f9c.png" width="41" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">又</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∵</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">直线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/56a1c63905b02a17e6ad0c222cf16d4c.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">﹣</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">6</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">与双曲线</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/db62116f9a936f67670a67ca2fa779e6.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">x</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">＞</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）交于点</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，且</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/6386eb3e49e36afb5bf366459e618aa1.png" width="21" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%">=2</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">∴</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/b4b790585ca118b1030f937fc70a9a10.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">+</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/d886d89f7eebb910ae1cd4c082dae5f8.png" width="31" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/9df11d37922e5d88d60b06a69654ac37.png" width="31" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），将</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">B</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">的坐标代入</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">y=</span></span></span></span></span><img height="35" src="/uploads/meth/20201224/341b01ae0d0d08040cb0dfc38c819c2e.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">中，得</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">（</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/3725e71d268fa2e421d41cff401f23b9.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">+</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/524833eca4ec2c17186f76af19c43200.png" width="31" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">）</span></span></span></span></span></span><img height="37" src="/uploads/meth/20201224/d868054c0f174ee3e7c338c572365496.png" width="31" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%">=k</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">解得</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">k=12</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">．</span></span></span></span></span></span><br /> <span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">故答案为：（</span></span></span></span></span></span><img height="35" src="/uploads/meth/20201224/e2eb26c38a84929e333ea2cda9b0ba60.png" width="13" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri"><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">0</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">），</span></span></span><span style="font-size:12.0pt"><span style="line-height:150%">12</span></span><span style="font-size:12.0pt"><span style="line-height:150%"><span style="font-family:宋体">．</span></span></span></span></span></span><br /> <img height="119" src="/uploads/meth/20201224/ca50edd09707ada2ba0705c2ddc8dbf0.png" width="134" />
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