{"id":372,"date":"2024-01-08T18:33:39","date_gmt":"2024-01-08T10:33:39","guid":{"rendered":"https:\/\/big-tan.top\/?p=372"},"modified":"2024-02-13T12:06:34","modified_gmt":"2024-02-13T04:06:34","slug":"%e5%a4%9a%e6%ac%a1%e6%a0%b9%e5%bc%8f%e5%8c%96%e7%ae%80%e6%8a%80%e5%b7%a7%e9%9b%86%e9%94%a6","status":"publish","type":"post","link":"https:\/\/itantan.eu.org\/?p=372","title":{"rendered":"\u591a\u6b21\u6839\u5f0f\u5316\u7b80\u6280\u5de7\u96c6\u9526"},"content":{"rendered":"\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-4ee9b45 stk-block-background\" data-block-id=\"4ee9b45\"><style>.stk-4ee9b45{background-color:#F6F6F6 !important;border-top-left-radius:18px !important;border-top-right-radius:18px !important;border-bottom-right-radius:18px !important;border-bottom-left-radius:18px !important;border-style:solid !important;overflow:auto !important}.stk-4ee9b45:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-4ee9b45-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-c0418b7\" data-v=\"4\" data-block-id=\"c0418b7\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-c0418b7-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-c0418b7-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-6ae3426\" data-block-id=\"6ae3426\"><p class=\"stk-block-text__text\"><strong>\u2003\u2003\u9898\u76ee\u4e00\uff1a\u9996\u5148\u6765\u770b\u7b2c\u4e00\u4e2a\u9898\u76ee\uff0c\u5316\u7b80\u4e8c\u6b21\u6839\u5f0f$\\begin{split}\\frac{4\\sqrt{3}}{2+\\sqrt3+\\sqrt7}\\end{split}$\uff0c\u770b\u4f3c\u7b80\u5355\uff0c\u4f1a\u89e3\u8005\u5be5\u5be5\u3002<\/strong><br><br><strong>\u2003\u2003\u89e3\u9898\u601d\u8def<\/strong>\uff1a\u8fd9\u79cd\u5316\u7b80\u4e8c\u6b21\u6839\u5f0f \u603b\u4f53\u601d\u8def\u5c31\u662f\u9700\u8981\u5206\u6bcd\u6709\u7406\u5316\uff0c\u4f8b\u5982:<br>$\\begin{split}\\frac{a}{\\sqrt{a}+\\sqrt{b}}=\\frac{a(\\sqrt{a}-\\sqrt{b})}{(\\sqrt{a}+\\sqrt{b})(\\sqrt{a}-\\sqrt{b})}=\\frac{a\\sqrt{a}-a\\sqrt{b}}{a-b}\\end{split}$<br><br>\u8fd9\u91cc\u7531\u4e8e\u5206\u6bcd\u4e09\u9879\uff0c\u4e3a\u4e86\u5e94\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\uff0c\u53ef\u4ee5\u8003\u8651\u628a$2+\\sqrt3$\u770b\u4f5c\u4e00\u4e2a\u6574\u4f53\u8fdb\u884c\u5206\u6bcd\u6709\u7406\u5316\u64cd\u4f5c\u3002<br>$\\begin{split}\u89e3:&amp;\u539f\u5f0f=\\frac{4\\sqrt3[\\sqrt7-(\\sqrt3+2)]}{[\\sqrt7+(\\sqrt3+2)][\\sqrt7-(\\sqrt3+2)]} \\\\ \\\\&amp;=\\frac{4\\sqrt3(\\sqrt7-\\sqrt3-2)}{(\\sqrt7)^2-(\\sqrt3+2)^2}=\\frac{4\\sqrt3(\\sqrt7-\\sqrt3-2)}{7-(3+4\\sqrt3+4)}\\\\\\\\&amp;=\\sqrt3+2-\\sqrt7\\end{split}$<br>\u2003\u2003\u8fd9\u5c31\u662f\u6700\u7ec8\u7684\u5316\u7b80\u7ed3\u679c\uff0c\u4eca\u540e\u9047\u5230\u7c7b\u4f3c\u95ee\u9898\uff0c\u53ef\u4ee5\u8003\u8651\u7528\u628a\u4e24\u9879\u770b\u4f5c\u4e00\u4e2a\u6574\u4f53\u7684\u65b9\u5f0f\u8fdb\u884c\u5206\u6bcd\u6709\u7406\u5316\u64cd\u4f5c\uff0c\u5e76\u6700\u7ec8\u6c42\u89e3\u6210\u529f\u3002\u8fd9\u91cc\u53ef\u4ee5\u901a\u8fc7\u89c2\u5bdf\uff0c\u53d1\u73b0$2^2+(\\sqrt3)^2=(\\sqrt7)^2$\uff0c \u53ef\u4ee5\u8003\u8651\u5c06$2+\\sqrt3$\u770b\u4f5c\u4e00\u4e2a\u6574\u4f53\u3002<\/p><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-90d74d3 stk-block-background\" data-block-id=\"90d74d3\"><style>.stk-90d74d3{background-color:#ffe2c7 !important;border-top-left-radius:18px !important;border-top-right-radius:18px !important;border-bottom-right-radius:18px !important;border-bottom-left-radius:18px !important;border-style:solid !important;overflow:auto !important}.stk-90d74d3:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-90d74d3-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-a532b37\" data-v=\"4\" data-block-id=\"a532b37\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-a532b37-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-a532b37-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-e76629e\" data-block-id=\"e76629e\"><p class=\"stk-block-text__text\"><strong>\u2003\u2003\u9898\u76ee\u4e8c\uff1a\u521d\u4e2d\u6570\u5b66\uff0c\u5982\u4f55\u5316\u7b80\u53cc\u91cd\u6839\u5f0f$\\begin{split}\\sqrt{6-\\sqrt{35}}\\end{split}$\uff0c\u96be\u5012\u5927\u7247\u540c\u5b66\uff01<\/strong><br><strong>\u2003\u2003\u89e3\u9898\u601d\u8def<\/strong>\uff1a\u8fd9\u79cd\u5316\u7b80\u53cc\u91cd\u6839\u5f0f\uff0c\u9996\u5148\u5e94\u8be5\u60f3\u5230 \u5c31\u662f\u5982\u4f55\u5c06\u5927\u6839\u53f7\u5185\u53d8\u6210\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u4f8b\u5982\uff1a$\\begin{split}(a-b)^2\u6216\u8005(a+b)^2\\end{split}$\uff0c\u7136\u540e\u901a\u8fc7\u89c2\u5bdf\u53ef\u4ee5\u53d1\u73b035\u8fd9\u4e2a\u6570\u5b57\u53ef\u4ee5\u5206\u89e3\u6210\u4e3a5\u548c7\u4e24\u4e2a\u56e0\u6570\uff0c$\\begin{split}\\sqrt{35}=\\sqrt7\\times\\sqrt5\\end{split}$\uff0c\u800c\u4e14$5+7=12$\u6b63\u597d\u662f$6$\u7684$2$\u500d\uff0c\u56e0\u6b64\u53ef\u4ee5\u901a\u8fc7\u4e00\u5b9a\u53d8\u6362\u6280\u5de7\u5c06$6-\\sqrt{35}$\u53d8\u6362\u4e3a\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\u3002<br><br>$\\begin{split}\u89e3:\\\\&amp;\\because6-\\sqrt{35}=6-\\sqrt7\\sqrt5=\\frac{12-2\\sqrt7\\sqrt5}{2}=\\frac{7-2\\sqrt7\\sqrt5+5}{2}\\\\\\\\&amp;=\\frac{(\\sqrt7)^2-2\\sqrt7\\sqrt5+(\\sqrt5)^2}{2}=\\frac{(\\sqrt7-\\sqrt5)^2}{2}\\\\\\\\&amp;\\therefore\u539f\u5f0f=\\sqrt{\\frac{\\left(\\sqrt7-\\sqrt5\\right)^2}{2}}=\\frac{\\sqrt7-\\sqrt5}{\\sqrt2}=\\frac{\\sqrt{14}-\\sqrt{10}}{2}\\end{split}$<\/p><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-916fbaf stk-block-background\" data-block-id=\"916fbaf\"><style>.stk-916fbaf{background-color:#ffe2c7 !important;border-top-left-radius:18px !important;border-top-right-radius:18px !important;border-bottom-right-radius:18px !important;border-bottom-left-radius:18px !important;border-style:dashed !important;overflow:auto !important}.stk-916fbaf:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-916fbaf-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-a61e201\" data-v=\"4\" data-block-id=\"a61e201\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-a61e201-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-a61e201-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-ffbf45d\" data-block-id=\"ffbf45d\"><p class=\"stk-block-text__text\"><strong>\u2003\u2003\u62d3\u5c55\u601d\u7ef4\uff1a\u5316\u7b80\u53cc\u91cd\u6839\u5f0f$\\begin{split}\\sqrt{15-\\sqrt{161}}\\end{split}$<\/strong><br><br>$\\begin{split}\u89e3:\\\\&amp;\\because15-\\sqrt{161}=15-\\sqrt{23}\\sqrt7=\\frac{30-2\\sqrt{23}\\sqrt7}{2}=\\frac{23-2\\sqrt{23}\\sqrt7+7}{2}\\\\\\\\&amp;=\\frac{(\\sqrt{23})^2-2\\sqrt{23}\\sqrt7+(\\sqrt7)^2}{2}=\\frac{(\\sqrt{23}-\\sqrt7)^2}{2}\\\\\\\\&amp;\\therefore\u539f\u5f0f=\\sqrt{\\frac{\\left(\\sqrt{23}-\\sqrt7\\right)^2}{2}}=\\frac{\\sqrt{23}-\\sqrt7}{\\sqrt2}=\\frac{\\sqrt{46}-\\sqrt{14}}{2}\\end{split}$<br><br>\u2003\u2003\u8fd9\u5c31\u662f\u5206\u6bcd\u6709\u7406\u5316\u4e4b\u540e\u7684\u5316\u7b80\u7ed3\u679c\uff0c\u9700\u8981\u4e00\u4e9b\u8f6c\u6362\u6280\u5de7\u624d\u80fd\u8fdb\u884c\u8f6c\u6362\u3002\u5176\u4e2d\uff0c\u6700\u5173\u952e\u7684\u5c31\u662f\u5982\u4f55\u4f7f\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f$(a\\pm b)^2=a^2\\pm2ab+b^2$\u7684\u95ee\u9898\uff0c\u901a\u8fc7\u62d3\u5c55\u8fd9\u9053\u9898\u76ee\u4e2d\u7684\u8f6c\u5316\u6280\u5de7\uff0c\u7c7b\u4f3c\u9898\u76ee\u90fd\u53ef\u4ee5\u91c7\u7528\u7c7b\u4f3c\u7684\u601d\u8def\u8fdb\u884c\u5316\u7b80\u3002<\/p><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-a5c9468 stk-block-background\" data-block-id=\"a5c9468\"><style>.stk-a5c9468{background-color:#F6F6F6 !important;border-top-left-radius:18px !important;border-top-right-radius:18px !important;border-bottom-right-radius:18px !important;border-bottom-left-radius:18px !important;border-style:solid !important;overflow:auto !important}.stk-a5c9468:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-a5c9468-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-a9ed212\" data-v=\"4\" data-block-id=\"a9ed212\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-a9ed212-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-a9ed212-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-7a36c12\" data-block-id=\"7a36c12\"><p class=\"stk-block-text__text\"><strong>\u2003\u2003\u9898\u76ee\u4e09\uff1a\u8ba1\u7b97$\\begin{split}\\sqrt{6+\\sqrt{11}}-\\sqrt{6-\\sqrt{11}}\\end{split}$<\/strong><br><br><strong>\u2003\u2003\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u901a\u8fc7\u89c2\u5bdf\uff0c\u53ef\u4ee5\u53d1\u73b0$6+\\sqrt{11}\u4e0e6-\\sqrt{11}$\u53ef\u4ee5\u6784\u9020\u51fa\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u53ef\u4ee5\u8bbe\u6cd5\u8ba1\u7b97\u51fa\u6765\u539f\u5f0f\u7684\u5e73\u65b9\uff0c\u7136\u540e\u518d\u8ba1\u7b97\u51fa\u539f\u5f0f\u7684\u503c\u3002\u7c7b\u4f3c\u9898\u76ee\u6709\u4e24\u9879\u6839\u5f0f\uff0c\u53ef\u4ee5\u4ee4\u539f\u5f0f=a\uff0c\u7136\u540e\u7b49\u5f0f\u4e24\u8fb9\u5e73\u65b9\uff0c\u6c42\u51fa\u6765$a^2$\u540e\u518d\u5f00\u65b9\uff0c\u6839\u636e\u539f\u5f0f\u53d6\u503c\u7684\u6b63\u8d1f\u820d\u53bb\u5176\u4e2d\u4e00\u4e2a\u5e73\u65b9\u6839\u5373\u53ef\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\u4ee4a=\\sqrt{6+\\sqrt{11}}+\\sqrt{6-\\sqrt{11}}\\\\\\\\&amp;\u5219\uff1aa^2=\\left(\\sqrt{6+\\sqrt{11}}-\\sqrt{6-\\sqrt{11}}\\right)^2=6+\\sqrt{11}+6-\\sqrt{11}-2\\sqrt{(6+\\sqrt{11})(6-\\sqrt{11})}\\\\\\\\&amp;=12-2\\sqrt{25}=2\\\\\\\\&amp;\\because6+\\sqrt{11}\\gt6-\\sqrt{11}\\gt2\\\\\\\\&amp;\\therefore\\sqrt{6+\\sqrt{11}}-\\sqrt{6-\\sqrt{11}}\\gt0\\\\\\\\&amp;\\therefore a^2=2\u89e3\u5f97\uff1aa_1=\\sqrt2\uff0ca_2=-\\sqrt2(\u820d\u53bb)\uff0c\\\\\\\\&amp;\u6700\u7ec8\u7684\u7ed3\u679c\uff1aa=\\sqrt2\\end{split}$<\/p><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-ce719c3 stk-block-background\" data-block-id=\"ce719c3\"><style>.stk-ce719c3{background-color:#F6F6F6 !important;border-top-left-radius:18px !important;border-top-right-radius:18px !important;border-bottom-right-radius:18px !important;border-bottom-left-radius:18px !important;border-style:dashed !important;overflow:auto !important}.stk-ce719c3:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-ce719c3-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-28580e2\" data-v=\"4\" data-block-id=\"28580e2\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-28580e2-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-28580e2-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-1f7a316\" data-block-id=\"1f7a316\"><p class=\"stk-block-text__text\"><strong>\u2003\u2003\u62d3\u5c55\u601d\u7ef4\uff1a\u5316\u7b80$\\begin{split}\\sqrt[4]{7+4\\sqrt3}+\\sqrt[4]{7-4\\sqrt3}\\end{split}$<br><strong>\u2003\u2003\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u8bbe\u6cd5\u5c06\u6839\u53f7\u4e0b\u9762\u8f6c\u6362\u4e3a\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f$(a\\pm b)^2=a^2\\pm2ab+b^2$\u7684\u5f62\u5f0f\u3002<br><br><\/strong>\u89e3\u6cd5\u4e00\uff1a<strong><br><\/strong><br>$\\begin{split}\u7531\u4e8e:7+4\\sqrt3=2^2+2\\times2\\times\\sqrt3+(\\sqrt3)^2=(2+\\sqrt3)^2\\\\\\\\7-4\\sqrt3=2^2-2\\times2\\times\\sqrt3+(\\sqrt3)^2=(2-\\sqrt3)^2\\end{split}\\\\\\\\$<br>$\\begin{split}&amp;\u539f\u5f0f=\\sqrt[4]{(2+\\sqrt3)^2}+\\sqrt[4]{(2-\\sqrt3)^2}=\\sqrt{2+\\sqrt3}+\\sqrt{2-\\sqrt3}\\\\\\\\&amp;=\\sqrt{\\frac{2(2+\\sqrt3)}{2}}+\\sqrt{\\frac{2(2-\\sqrt3)}{2}}=\\frac{\\sqrt{4+2\\sqrt3}}{\\sqrt2}+\\frac{\\sqrt{4-2\\sqrt3}}{\\sqrt2}\\\\&amp;=\\frac{\\sqrt{(\\sqrt3+1)^2}}{\\sqrt2}+\\frac{\\sqrt{(\\sqrt3-1)^2}}{\\sqrt2}=\\frac{\\sqrt3+1}{\\sqrt2}+\\frac{\\sqrt3-1}{\\sqrt2}=\\frac{2\\sqrt3}{\\sqrt2}=\\sqrt6\\end{split}$<br><br>\u89e3\u6cd5\u4e8c\uff1a<br><br>$\\begin{split}&amp;\u4ee4\\sqrt[4]{7+4\\sqrt3}+\\sqrt[4]{7-4\\sqrt3}=a\\\\&amp;\u5219a^2=\\left(\\sqrt[4]{7+4\\sqrt3}+\\sqrt[4]{7-4\\sqrt3}\\right)^2=\\sqrt{7+4\\sqrt3}+\\sqrt{7-4\\sqrt3}+2\\sqrt[4]{(7+4\\sqrt3)(7-4\\sqrt3)}\\\\&amp;=\\sqrt{(2+\\sqrt3)^2}+\\sqrt{(2-\\sqrt3)^2}+2\\sqrt[4]{7^2-(4\\sqrt3)^2}=6\\\\&amp;\u6c42\u5f97a=\\pm\\sqrt6\\\\&amp;\\because\u539f\u5f0f\u4e3a\u5076\u6570\u6b21\u65b9\u6839\\ge0\uff0c\\therefore\u6700\u7ec8\u7ed3\u679c\u662f:\u539f\u5f0f=\\sqrt6\\end{split}$<br><strong>\u4ece\u4e0a\u8ff0\u4f8b\u9898\u53ef\u4ee5\u53d1\u73b0\uff0c\u89e3\u6cd5\u4e8c\u66f4\u52a0\u5177\u6709\u901a\u7528\u6027\uff0c\u800c\u4e14\u4e00\u822c\u60c5\u51b5\u4e0b\u66f4\u7b80\u6d01\uff01<\/strong><\/p><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-ab1db12 stk-block-background\" data-block-id=\"ab1db12\"><style>.stk-ab1db12{background-color:#ffe2c7 !important;border-top-left-radius:18px !important;border-top-right-radius:18px !important;border-bottom-right-radius:18px !important;border-bottom-left-radius:18px !important;border-style:solid !important;overflow:auto !important}.stk-ab1db12:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-ab1db12-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-06f9dcf\" data-v=\"4\" data-block-id=\"06f9dcf\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-06f9dcf-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-06f9dcf-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-377074e\" data-block-id=\"377074e\"><p class=\"stk-block-text__text\"><strong>\u2003\u2003\u9898\u76ee\u56db\uff1a\u8ba1\u7b97$\\begin{split}\\left(\\frac{1+\\sqrt5}{2}\\right)^9\\end{split}$\uff0c\u96be\u5012\u4e0d\u5c11\u5b66\u9738\uff01<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u5229\u7528\u7acb\u65b9\u548c\u516c\u5f0f$\\begin{split}(a\\pm b)^3=a^3\\pm3a^2b+3ab^2\\pm b^3\\end{split}$\uff0c\u8fdb\u884c\u591a\u6b21\u964d\u5e42\u8fed\u4ee3\u8ba1\u7b97\u3002<br><br>$\\begin{split}&amp;\u89e3\uff1a\\\\&amp;\\because\\left(\\frac{1+\\sqrt5}{2}\\right)^3=\\frac{1^3+3\\times1^2\\times \\sqrt5+3\\times1\\times\\sqrt5^2+\\sqrt5^3}{8} \\\\&amp;=\\frac{1+3\\sqrt5+15+5\\sqrt5}{8}\\\\&amp;=\\frac{16+8\\sqrt5}{8}=2+\\sqrt5\\end{split}$<br><br>$\\begin{split}\\therefore&amp;\u539f\u5f0f=\\left[\\left(\\frac{1+\\sqrt5}{2}\\right)^3\\right]^3=(2+\\sqrt5)^3=2^3+3\\times2^2\\times\\sqrt5+3\\times2\\times\\sqrt5^2+\\sqrt5^3\\\\&amp;=8+12\\sqrt5+30+5\\sqrt5=38+17\\sqrt5\\end{split}$<\/p><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-b6f09f8 stk-block-background\" data-block-id=\"b6f09f8\"><style>.stk-b6f09f8{background-color:#ffe2c7 !important;border-top-left-radius:18px !important;border-top-right-radius:18px !important;border-bottom-right-radius:18px !important;border-bottom-left-radius:18px !important;overflow:hidden !important;border-style:dashed !important;border-color:#000000 !important}.stk-b6f09f8:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-b6f09f8-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-82d2589\" data-v=\"4\" data-block-id=\"82d2589\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-82d2589-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-82d2589-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-09385fc\" data-block-id=\"09385fc\"><p class=\"stk-block-text__text\"><strong>\u2003\u2003\u62d3\u5c55\u601d\u7ef4\uff1a\u5316\u7b80$\\begin{split}\\frac{\\sqrt{a\\sqrt{a\\sqrt{a}}}}{a}\\end{split}$<\/strong><br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\u4ee4t=\\frac{\\sqrt{a\\sqrt{a\\sqrt{a}}}}{a} \\\\&amp;\\therefore t^2=\\frac{a\\sqrt{a\\sqrt{a}}}{a^2}=\\frac{\\sqrt{a\\sqrt{a}}}{a}\\\\&amp;\\therefore t^4=\\frac{a\\sqrt{a}}{a^2}=\\frac{\\sqrt{a}}{a} \\\\&amp;\\therefore\\displaystyle t^8=\\frac{a}{a^2}=\\frac{1}{a}\\\\&amp;(t^8)^{\\frac{1}{8}}=a^{-\\frac{1}{8}}\\end{split}$<\/p><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-5fb257a\" data-block-id=\"5fb257a\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-5fb257a-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-a2f1858\" data-v=\"4\" data-block-id=\"a2f1858\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-a2f1858-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-a2f1858-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-496b199\" data-block-id=\"496b199\"><p class=\"stk-block-text__text\"><strong>\u2003\u2003\u4e00\u822c\u6765\u8bf4\uff0c\u4e0a\u8ff0\u6280\u5de7\u57fa\u672c\u80fd\u591f\u6db5\u76d6\u521d\u4e2d\u6570\u5b66\u4e2d\u6839\u5f0f\u5316\u7b80\u7684\u57fa\u672c\u65b9\u6cd5\uff0c\u4e0a\u8ff0\u6280\u5de7\u7684\u91cd\u70b9\u662f\u5982\u4f55\u6784\u9020\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\u6216\u8005\u7acb\u65b9\u5f0f\uff0c\u901a\u8fc7\u8f6c\u6362\u5c06\u6839\u5f0f\u964d\u5e42\uff0c\u6700\u540e\u8fbe\u5230\u5316\u7b80\u6839\u5f0f\u7684\u76ee\u7684\u3002<\/strong><\/p><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u2003\u2003\u9898\u76ee\u4e00\uff1a\u9996\u5148\u6765\u770b\u7b2c\u4e00\u4e2a\u9898\u76ee\uff0c\u5316\u7b80\u4e8c\u6b21\u6839\u5f0f$\\begin{split}\\frac{4\\sqrt{3}}{2+ [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,4],"tags":[],"class_list":["post-372","post","type-post","status-publish","format-standard","hentry","category-3","category-4"],"_links":{"self":[{"href":"https:\/\/itantan.eu.org\/index.php?rest_route=\/wp\/v2\/posts\/372","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/itantan.eu.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/itantan.eu.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=372"}],"version-history":[{"count":0,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=\/wp\/v2\/posts\/372\/revisions"}],"wp:attachment":[{"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=372"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=372"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=372"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}