{"id":39402,"date":"2011-09-09T20:57:27","date_gmt":"2011-09-09T12:57:27","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=39402"},"modified":"2021-10-06T16:22:48","modified_gmt":"2021-10-06T08:22:48","slug":"%e9%ab%98%e6%96%af%e5%a6%82%e4%bd%95%e4%bd%9c%e6%ad%a3%e5%8d%81%e4%b8%83%e9%82%8a%e5%bd%a2","status":"publish","type":"post","link":"http:\/\/localhost\/%e9%ab%98%e6%96%af%e5%a6%82%e4%bd%95%e4%bd%9c%e6%ad%a3%e5%8d%81%e4%b8%83%e9%82%8a%e5%bd%a2\/","title":{"rendered":"\u9ad8\u65af\u5982\u4f55\u4f5c\u6b63\u5341\u4e03\u908a\u5f62"},"content":{"rendered":"

\u9ad8\u65af\u5982\u4f55\u4f5c\u6b63\u5341\u4e03\u908a\u5f62(Construction of a Regular Polygon of 17 Sides)<\/span>
\n\u570b\u7acb\u81fa\u7063\u5e2b\u7bc4\u5927\u5b78\u6578\u5b78\u7cfb\u8d99\u6587\u654f\u6559\u6388\/\u570b\u7acb\u81fa\u7063\u5e2b\u7bc4\u5927\u5b78\u6578\u5b78\u7cfb\u8d99\u6587\u654f\u6559\u6388\u8cac\u4efb\u7de8\u8f2f<\/span><\/strong><\/p>\n

\u6458\u8981\uff1a\u6b63\u5341\u4e03\u908a\u5f62\u7684\u5c3a\u898f\u4f5c\u5716\u6cd5\uff0c\u662f\u5927\u6578\u5b78\u5bb6\u9ad8\u65af\u5728\u4ed6\u5341\u4e5d\u6b72\u6642\u6240\u7372\u5f97\u7684\u4e00\u9805\u7814\u7a76\u6210\u679c\u3002\u9ad8\u65af\u5c0d\u4ed6\u7684\u9019\u4e00\u9805\u6210\u679c\u986f\u7136\u975e\u5e38\u559c\u6b61\uff0c\u624d\u6703\u8b93\u6b63\u5341\u4e03\u908a\u5f62\u7684\u6a19\u8a8c\u51fa\u73fe\u5728\u4ed6\u7684\u5893\u7891\u4e0a\uff0c\u6c38\u9060\u966a\u4f34\u4e00\u4ee3\u5927\u5e2b\u3002\u8a31\u591a\u4eba\u5728\u6c42\u5b78\u671f\u9593\u90fd\u807d\u8aaa\u904e\u9019\u4e9b\u6b77\u53f2\u5178\u6545\uff0c\u53ea\u662f\u53ef\u80fd\u4e0d\u66fe\u898b\u8b58\u5230\u9ad8\u65af\u5982\u4f55\u4ee5\u76f4\u5c3a\u5713\u898f\u4f5c\u51fa\u6b63\u5341\u4e03\u908a\u5f62\u7684\u65b9\u6cd5\u3002<\/strong><\/p>\n

\u6b63\u5341\u4e03\u908a\u5f62\u7684\u5c3a\u898f\u4f5c\u5716\u6cd5\uff0c\u662f\u5927\u6578\u5b78\u5bb6\u9ad8\u65af \u00a0( Karl Gauss ) \u00a0\u5728\u4ed6\u5341\u4e5d\u6b72\u6642\u6240\u7372\u5f97\u7684\u4e00\u9805\u7814\u7a76\u6210\u679c\u3002\u9ad8\u65af\u5c0d\u4ed6\u7684\u9019\u4e00\u9805\u6210\u679c\u986f\u7136\u975e\u5e38\u559c\u6b61\uff0c\u624d\u6703\u8b93\u6b63\u5341\u4e03\u908a\u5f62\u7684\u6a19\u8a8c\u51fa\u73fe\u5728\u4ed6\u7684\u5893\u7891\u4e0a\uff0c\u6c38\u9060\u966a\u4f34\u4e00\u4ee3\u5927\u5e2b\u3002\u8a31\u591a\u4eba\u5728\u6c42\u5b78\u671f\u9593\u90fd\u807d\u8aaa\u904e\u9019\u4e9b\u6b77\u53f2\u5178\u6545\uff0c\u53ea\u662f\u53ef\u80fd\u4e0d\u66fe\u898b\u8b58\u5230\u9ad8\u65af\u5982\u4f55\u4ee5\u76f4\u5c3a\u5713\u898f\u4f5c\u51fa\u6b63\u5341\u4e03\u908a\u5f62\u7684\u65b9\u6cd5\u3002<\/p>\n

\u8981\u8a0e\u8ad6\u6b63\u5341\u4e03\u908a\u5f62\u7684\u5c3a\u898f\u4f5c\u5716\u6cd5\uff0c\u5c31\u8981\u8a0e\u8ad6\u65b9\u7a0b\u5f0f \\(x^{17}-1=0\\) \u7684\u6c42\u89e3\uff0c\u56e0\u70ba\u5728\u8907\u6578\u5e73\u9762\u4e0a\uff0c\u65b9\u7a0b\u5f0f \\(x^{17}-1=0\\) \u7684\u5168\u9ad4\u6839\u6240\u4ee3\u8868\u7684\u9ede\u662f\u55ae\u4f4d\u5713\u7684\u4e00\u500b\u5167\u63a5\u6b63 \\(17\\) \u908a\u5f62\u7684\u5341\u4e03\u500b\u9802\u9ede\uff0c\u5176\u4e2d\u4e00\u500b\u9802\u9ede\u662f\u5be6\u8ef8\u4e0a\u7684\u55ae\u4f4d\u9ede \\(1\\)\u3002<\/p>\n

\\(\\displaystyle \\omega=\\cos\\frac{2\\pi}{17}+i\\sin\\frac{2\\pi}{17}\\)<\/p>\n

\u5247\u4f9d\u68e3\u7f8e\u4f5b\u5b9a\u7406\uff0c\u65b9\u7a0b\u5f0f \\(x^{17}-1=0\\) \u7684\u5168\u9ad4\u865b\u6839 \\(\\omega^k(k\\in \\mathbb{N})\\) \u4e14 \\(1\\leq k\\leq 16)\\)\uff0c\u9019\u4e9b\u865b\u6839\u7684\u7e3d\u548c\u70ba \\(-1\\)\u3002\u73fe\u5728\uff0c\u5c07\u65b9\u7a0b\u5f0f \\(x^{17}-1=0\\) \u7684\u5168\u9ad4\u865b\u6839\u4f9d\u4e0b\u8ff0\u898f\u5247\u6392\u6210\u4e00\u500b\u6578\u5217\uff1a<\/p>\n

\\((1)\\) \u9996\u9805\u70ba \\(\\omega\\)\uff1b
\n\\((2)\\) \u81ea\u7b2c\u4e8c\u9805\u8d77\uff0c\u6bcf\u4e00\u9805\u90fd\u7b49\u65bc\u5176\u524d\u4e00\u9805\u7684\u4e09\u6b21\u65b9\u3002\u4f46\u7576\u4efb\u4e00\u9805\u4e2d \\(\\omega\\) \u7684\u6b21\u6578\u5927\u65bc \\(17\\) \u6642\uff0c\u5247\u4f9d \\(\\omega^{17}=1\\) \u964d\u4f4e\u5176\u6b21\u6578\u3002\u4f8b\u5982\uff1a\u7b2c\u56db\u9805\u539f\u70ba \\(\\omega^{27}\\)\uff0c\u53ef\u6539\u5beb\u6210 \\(\\omega^{10}\\)\u3002
\n\u6839\u64da\u6b64\u898f\u5247\u6240\u5f97\u7684\u6578\u5217\u5982\u4e0b\uff1a<\/p>\n

\\(\\omega,\\omega^3,\\omega^9,\\omega^{10},\\omega^{13},\\omega^5,\\omega^{15},\\omega^{11},\\omega^{16},\\omega^{14},\\omega^8,\\omega^7,\\omega^4,\\omega^{12},\\omega^2,\\omega^6~~~~~~(*)\\)<\/p>\n

\u5c07\u6578\u5217 \\((*)\\) \u7684\u5947\u6578\u9805\u4f9d\u5e8f\u5beb\u6210\u4e00\u7d1a\u6578\u3001\u5076\u6578\u9805\u4e5f\u4f9d\u5e8f\u5beb\u6210\u4e00\u7d1a\u6578\uff1b\u518d\u5c07\u6240\u5f97\u7684\u5169\u7d1a\u6578\u53c8\u4f9d\u5947\u6578\u9805\u8207\u5076\u6578\u9805\u5404\u5f97\u5169\u7d1a\u6578\uff0c\u7b49\u7b49\u3002\u4ee4\u9019\u4e9b\u7d1a\u6578\u7684\u548c\u5206\u5225\u70ba<\/p>\n

\\(z_1=\\omega+\\omega^9+\\omega^{13}+\\omega^{15}+\\omega^{16}+\\omega^8+\\omega^4+\\omega^2\\)
\n\\(z_2=\\omega^3+\\omega^{10}+\\omega^{5}+\\omega^{11}+\\omega^{14}+\\omega^7+\\omega^{12}+\\omega^6\\)<\/p>\n

\\(y_1=\\omega+\\omega^{13}+\\omega^{16}+\\omega^4\\)\uff0c\\(y_2=\\omega^9+\\omega^{15}+\\omega^{8}+\\omega^2\\)
\n\\(y_1^{‘}=\\omega^3+\\omega^{5}+\\omega^{14}+\\omega^{12}\\)\uff0c\\(y_2^{‘}=\\omega^{10}+\\omega^{11}+\\omega^{7}+\\omega^6\\)<\/p>\n

\\(x_1=\\omega+\\omega^{16}\\)\uff0c\\(x_2=\\omega^{13}+\\omega^4\\)<\/p>\n

\u7565\u4f5c\u8a08\u7b97\uff0c\u53ef\u8b49\u5f97<\/p>\n

\\(z_1\\) \u8207 \\(z_2\\) \u662f\u65b9\u7a0b\u5f0f \\(z^2+z-4=0\\) \u7684\u5169\u6839\u4e14 \\(2z_1=-1+\\sqrt{17}\\)\uff0c\\(2z_2=-1-\\sqrt{17}\\)
\n\\(y_1\\) \u8207 \\(y_2\\) \u662f\u65b9\u7a0b\u5f0f \\(y^2-z_1y-1=0\\) \u7684\u5169\u6839\u4e14 \\(2y_1=z_1+\\sqrt{z_1^2+4}\\)
\n\\(y_1^{‘}\\) \u8207 \\(y_2^{‘}\\) \u662f\u65b9\u7a0b\u5f0f \\(y^2-z_2y-1=0\\) \u7684\u5169\u6839\u4e14 \\(2y_1^{‘}=z_2+\\sqrt{z_2^2+4}\\)
\n\\(x_1\\) \u8207 \\(x_2\\) \u662f\u65b9\u7a0b\u5f0f \\(x^2-y_1x+y_1^{‘}=0\\) \u7684\u5169\u6839\u4e14 \\(2x_1=y_1+\\sqrt{y_1^2-4y_1^{‘}}\\)<\/p>\n

\u8acb\u6ce8\u610f\uff1a\\(x_1=2\\cos(2\\pi\/17)\\)\uff0c\u800c\u4e14\u6839\u64da\u4e0a\u8ff0 \\(z_1\\)\u3001\\(z_2\\)\u3001\\(y_1\\)\u3001\\(y_1^{‘}\\) \u7684\u503c\u4e5f\u53ef\u4ee5\u6c42\u5f97 \\(\\cos(2\\pi\/17)\\)\u7684\u503c\u5982\u4e0b\uff1a<\/p>\n

\\(\\begin{multline*}\\displaystyle\\cos\\frac{2\\pi}{17}=\\frac{-1+\\sqrt{17}+\\sqrt{34-2\\sqrt{17}}}{16}\\\\\\displaystyle+\\frac{\\sqrt{17+3\\sqrt{17}-2\\sqrt{34+2\\sqrt{17}}-\\sqrt{34-2\\sqrt{17}}}}{8}\\end{multline*}\\)<\/p>\n

\u4f46\u5be6\u969b\u4ee5\u76f4\u5c3a\u548c\u5713\u898f\u4f5c\u6b63\u5341\u4e03\u908a\u5f62\u6642\uff0c\u6211\u5011\u4e26\u4e0d\u5fc5\u7528\u5230 \\(\\cos(2\\pi\/17)\\) \u4e4b\u503c\u7684\u6578\u503c\u8868\u793a\u516c\u5f0f\uff0c\u800c\u53ea\u9808\u4f9d\u6b21\u4f5c\u51fa\u9577\u5ea6\u70ba \\(z_1\\)\u3001\\(-z_2\\)\u3001\\(y_1\\)\u3001\\(y_1^{‘}\\) \u7684\u7dda\u6bb5\uff0c\u518d\u5229\u7528 \\(y_1\\)\u3001\\(y_1^{‘}\\) \u8207 \\(\\cos(2\\pi\/17)\\) \u7684\u95dc\u4fc2\u5f0f\u5373\u53ef\u3002<\/p>\n

\"\"<\/a><\/p>\n

\u4ee5\u76f4\u5c3a\u548c\u5713\u898f\u4f5c\u6b63\u5341\u4e03\u908a\u5f62\u7684\u904e\u7a0b\u5982\u4e0b\uff1a<\/p>\n

\\((1)\\) \u4f5c\u4e00\u55ae\u4f4d\u5713 \\(O\\) \u53ca\u4e00\u5c0d\u4e92\u76f8\u5782\u76f4\u7684\u76f4\u5f91 \\(\\overline{AB}\\) \u8207 \\(\\overline{CD}\\)<\/p>\n

\\((2)\\) \u5728\u5713 \\(O\\) \u904e\u9ede \\(D\\) \u7684\u5207\u7dda\u4e0a\u4f5c\u4e00\u9ede \\(E\\)
\n\u4f7f\u5f97\uff1a\u9ede \\(E\\) \u8207 \u9ede \\(A\\) \u5728\u76f4\u7dda \\(CD\\) \u7684\u7570\u5074\u4e14 \\(\\overline{DE}=1\/4\\)<\/p>\n

\\((3)\\) \u5728\u76f4\u7dda \\(DE\\) \u4e0a\u4f5c\u9ede \\(F\\) \u8207 \\(G\\)
\n\u4f7f\u5f97\uff1a\\(\\overline{EF}=\\overline{EG}=\\overline{EO}\\) \u4e14\u9ede \\(F\\) \u8207\u9ede \\(D\\) \u5728\u9ede \\(E\\) \u7684\u540c\u5074<\/p>\n

\\((4)\\) \u5728\u76f4\u7dda \\(DE\\) \u4e0a\u4f5c\u9ede \\(H\\) \u8207 \\(K\\)
\n\u4f7f\u5f97\uff1a\\(\\overline{FH}=\\overline{FO}\\)\u3001\\(\\overline{GK}=\\overline{GO}\\) \u4e14\u9ede \\(H\\) \u8207\u9ede \\(G\\) \u5728\u9ede \\(F\\) \u7684\u7570\u5074\u3001\u9ede \\(K\\) \u4ecb\u65bc\u9ede \\(F\\) \u8207\u9ede \\(G\\) \u4e4b\u9593<\/p>\n

\\((5)\\) \u5728\u904e\u9ede \\(H\\) \u4e14\u8207\u76f4\u7dda \\(DE\\) \u5782\u76f4\u7684\u76f4\u7dda\u4e0a\u4f5c\u9ede \\(L\\)
\n\u4f7f\u5f97\uff1a\\(\\overline{HL}=1+\\overline{DK}\\) \u4e14\u9ede \\(L\\) \u8207\u9ede \\(A\\) \u5728\u76f4\u7dda \\(DE\\) \u7684\u540c\u5074<\/p>\n

\\((6)\\) \u5728\u76f4\u7dda \\(OA\\) \u4e0a\u4f5c\u9ede \\(M\\)
\n\u4f7f\u5f97\uff1a\u9ede \\(M\\) \u5728\u4ee5 \\(\\overline{CL}\\) \u70ba\u76f4\u5f91\u7684\u5713\u4e0a\u4e14 \\(\\overline{OM}>1\\)<\/p>\n

\\((7)\\) \u8a2d\u9ede \\(P\\) \u662f \\(\\overline{OM}\\) \u7684\u5782\u76f4\u5e73\u5206\u7dda\u8207\u5713 \\(O\\) \u7684\u4efb\u4e00\u4ea4\u9ede\uff0c\u5247 \\(\\overline{AP}\\) \u662f\u5713 \\(O\\) \u7684\u5167\u63a5\u6b63\u5341\u4e03\u908a\u5f62\u7684\u4e00\u908a<\/p>\n

\u4e0b\u9762\u6211\u5011\u8981\u8b49\u660e\u4e0a\u8ff0 \\((7)\\) \u7684\u7d50\u8ad6\u6210\u7acb\u3002<\/p>\n

\u9996\u5148\uff0c\u56e0\u70ba \\(\\overline{OD}=1\\)\u3001\\(\\overline{DE}=1\/4\\) \u4e14 \\(\\overline{OD}\\perp\\overline{DE}\\)\uff0c\u6240\u4ee5\uff0c\\(\\overline{OE}=\\sqrt{17}\/4\\)<\/p>\n

\u65bc\u662f\uff0c\u5f97<\/p>\n

\\(\\displaystyle \\overline{DF}=\\overline{EF}-\\overline{DE}=\\overline{OE}-\\overline{DE}=\\frac{\\sqrt{17}-1}{4}=\\frac{z_1}{2}\\)
\n\\(\\displaystyle \\overline{DG}=\\overline{EG}+\\overline{DE}=\\overline{OE}+\\overline{DE}=\\frac{\\sqrt{17}+1}{4}=\\frac{-z_2}{2}\\)<\/p>\n

\u5176\u6b21\uff0c\u56e0\u70ba \\(\\overline{OD}=1\\)\u3001\\(\\overline{DF}=z_1\/2\\) \u4e14 \\(\\overline{OD}\\perp\\overline{DF}\\)\uff0c\u6240\u4ee5\uff0c\\(\\overline{OF}=\\displaystyle \\frac{\\sqrt{z_1^2+4}}{2}\\)
\n\u56e0\u70ba \\(\\overline{OD}=1\\)\u3001\\(\\overline{DG}=-z_2\/2\\) \u4e14 \\(\\overline{OD}\\perp\\overline{DG}\\)\uff0c\u6240\u4ee5\uff0c\\(\\overline{OG}=\\displaystyle \\frac{\\sqrt{z_2^2+4}}{2}\\)<\/p>\n

\u65bc\u662f\uff0c\u5f97<\/p>\n

\\(\\displaystyle\\overline{DH}=\\overline{DF}+\\overline{FH}=\\overline{DF}+\\overline{OF}=\\frac{z_1+\\sqrt{z_1^2}+4}{2}=y_1\\)
\n\\(\\displaystyle\\overline{DK}=\\overline{GK}-\\overline{DG}=\\overline{OG}-\\overline{DG}=\\frac{z_2+\\sqrt{z_2^2}+4}{2}=y_1^{‘}\\)<\/p>\n

\u518d\u5176\u6b21\uff0c<\/p>\n

\u9078\u53d6\u4e00\u500b\u76f4\u89d2\u5750\u6a19\u7cfb\uff0c\u4f7f\u5f97\u9ede \\(O\\) \u70ba\u539f\u9ede\u3001\u9ede \\(A\\) \u7684\u5750\u6a19\u70ba \\((1,0)\\)\u3001\u9ede \\(C\\) \u7684\u5750\u6a19\u70ba \\((0,1)\\)\u3002<\/p>\n

\u56e0\u70ba\u76f4\u7dda \\(HL\\) \u8207 \\(y\\) \u8ef8\u5e73\u884c\u3001\\(\\overline{HL}=\\overline{OD}+\\overline{DK}\\) \u4e14\u9ede \\(L\\) \u8207 \\(x\\) \u8ef8\u5728\u76f4\u7dda \\(DE\\) \u7684\u540c\u5074\uff0c<\/p>\n

\u6240\u4ee5\uff0c\u9ede \\(L\\) \u5728\u7b2c\u4e00\u8c61\u9650\uff0c\u5176\u5750\u6a19\u70ba \\((\\overline{DH},\\overline{DK})\\) \u6216\u5beb\u6210 \\((y_1,y’_1)\\)<\/p>\n

\u65bc\u662f\uff0c\u4ee5 \\(\\overline{CL}\\) \u70ba\u76f4\u5f91\u7684\u5713\u7684\u65b9\u7a0b\u5f0f\u70ba \\((x-0)(x-y_1)+(y-1)(y_1-y’_1)=0\\)\u3002<\/p>\n

\u6b64\u5713\u8207 \\(x\\) \u8ef8\u7684\u4ea4\u9ede \\(M\\) \u7684 \\(x\\) \u5750\u6a19\u662f\u4e0b\u8ff0\u65b9\u7a0b\u5f0f \\(x^2+y_1x+y_1^{‘}=0\\) \u7684\u6839\u3002<\/p>\n

\u56e0\u70ba \\(\\overline{OM}>1\\)\uff0c\u6240\u4ee5\uff0c\u53ef\u5f97<\/p>\n

\\(\\displaystyle\\overline{OM}=\\frac{y_1+\\sqrt{y_1^2-4y_1^{‘}}}{2}=2\\cos\\frac{2\\pi}{17}\\)<\/p>\n

\\(\\displaystyle\\overline{ON}=\\frac{1}{2}\\overline{OM}=\\cos\\frac{2\\pi}{17}\\)<\/p>\n

\u5176\u4e2d\uff0c\u9ede \\(N\\) \u662f \\(\\overline{OM}\\) \u7684\u4e2d\u9ede\u3002\u56e0\u70ba \\(\\overline{OP}=1\\) \u4e14 \\(\\overline{PN}\\perp\\overline{ON}\\)\uff0c\u6240\u4ee5\uff0c\\(\\angle{PON}=2\\pi\/17\\)\uff0c\\(\\overline{AP}\\) \u662f\u5713 \\(O\\) \u7684\u5167\u63a5\u6b63\u5341\u4e03\u908a\u5f62\u7684\u4e00\u908a\uff0c\u9019\u5c31\u662f\u4e0a\u8ff0 \\((7)\\) \u6240\u6558\u8ff0\u7684\u7d50\u8ad6\u3002<\/p>\n

\u5ef6\u4f38\u95b1\u8b80<\/strong>\uff1a<\/p>\n

\u8a31\u5fd7\u8fb2\u7db2\u9801\uff0chttp:\/\/math.ntnu.edu.tw\/~maco\/macobook\/arith\/19.pdf<\/a>\uff08\u9ad8\u65af\u4e94\u908a\u5f62\u5b9a\u7406\uff09\u3002<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

\u9ad8\u65af\u5982\u4f55\u4f5c\u6b63\u5341\u4e03\u908a\u5f62(Construction of a Regular Polygon of 17 Side…<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[224,111],"tags":[4349,461],"class_list":["post-39402","post","type-post","status-publish","format-standard","hentry","category-math04","category-mathematics00","tag-4349","tag-461","loop-entry","cat-224","cat-111","no-thumbnail"],"views":24752,"_links":{"self":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/39402","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/comments?post=39402"}],"version-history":[{"count":1,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/39402\/revisions"}],"predecessor-version":[{"id":87855,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/39402\/revisions\/87855"}],"wp:attachment":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/media?parent=39402"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/categories?post=39402"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/tags?post=39402"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}