{"id":580,"date":"2024-01-31T15:12:44","date_gmt":"2024-01-31T07:12:44","guid":{"rendered":"https:\/\/big-tan.top\/?p=580"},"modified":"2024-02-15T11:51:31","modified_gmt":"2024-02-15T03:51:31","slug":"%e5%88%9d%e4%b8%ad%e6%95%b0%e5%ad%a6%e8%a7%a3%e6%96%b9%e7%a8%8b%e6%8a%80%e5%b7%a7%e9%9b%86%e9%94%a6%ef%bc%88%e4%ba%8c%ef%bc%89","status":"publish","type":"post","link":"https:\/\/itantan.eu.org\/?p=580","title":{"rendered":"\u521d\u4e2d\u6570\u5b66\u89e3\u65b9\u7a0b\u6280\u5de7\u96c6\u9526\uff08\u4e8c\uff09"},"content":{"rendered":"\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-b87ddef stk-block-background\" data-block-id=\"b87ddef\"><style>.stk-b87ddef{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-b87ddef:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-b87ddef-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-bf746df\" data-v=\"4\" data-block-id=\"bf746df\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-bf746df-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-bf746df-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-3eee072\" data-block-id=\"3eee072\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u4e00\uff1a\u89e3\u65b9\u7a0b$2\\sqrt{x-3}+6=x$\uff0c1977\u5e74\u9ad8\u8003\u9898\uff0c\u770b\u4f3c\u7b80\u5355\uff0c\u4f46\u6709\u9677\u9631\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u8fd9\u4e2a\u65b9\u7a0b\u6bd4\u8f83\u7b80\u5355\uff0c\u5f88\u5bb9\u6613\u6c42\u89e3\uff0c\u4f46\u662f\u4e0d\u80fd\u4ec5\u4ec5\u5f97\u51fa\u89e3\uff0c\u5fc5\u987b\u4ee3\u5165\u539f\u65b9\u7a0b\u8fdb\u884c\u9a8c\u7b97\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\u539f\u65b9\u7a0b\u53d8\u6362\uff1a\\\\&amp;2\\sqrt{x-3}=x-6\uff0c\\\\&amp;\u4e24\u8fb9\u540c\u65f6\u5e73\u65b9\u53ef\u5f97\uff1a\\\\&amp;4(x-3)=(x-6)^2\\ldots(1)\\\\&amp;\\therefore 4x-12=x^2-12x+36\\Rightarrow x^2-16x+48=0\\\\&amp;\\therefore(x-12)(x-4)=0\\\\&amp;\\therefore x_1=12\uff0cx_2=4\\\\&amp;\u5230\u8fd9\u91cc\uff0c\u4e0d\u80fd\u89c6\u4e3a\u89e3\u9898\u7ed3\u675f\uff0c\u5c3d\u7ba1\u5c06x_1,x_2\u4ee3\u5165(1)\u5f0f\u8fdb\u884c\u9a8c\u7b97\uff0c\u6ca1\u6709\u9519\u8bef\uff0c\u4f46\u662f\u5c06x_2=4\u4ee3\u5165\u539f\u65b9\u7a0b\uff0c\u5219\u4e0d\u6210\u7acb\u3002\\\\&amp;\u6240\u4ee5\u672c\u9898\u6b63\u89e3\uff1ax=12\\end{split}$<\/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-b7051de stk-block-background\" data-block-id=\"b7051de\"><style>.stk-b7051de{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-b7051de:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-b7051de-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-e1ffecb\" data-v=\"4\" data-block-id=\"e1ffecb\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-e1ffecb-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-e1ffecb-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-10a90fb\" data-block-id=\"10a90fb\"><p class=\"stk-block-text__text\">\u2003\u2003\u2003<strong>\u9898\u76ee\u4e8c\uff1a\u89e3\u65b9\u7a0b$\\displaystyle\\sqrt{a-\\sqrt{a+x}}=x$\uff0c\u7f8e\u56fd\u6570\u5b66\u7ade\u8d5b\u9898\u76ee\uff0c\u89e3\u6839\u5f0f\u65b9\u7a0b\uff0c\u53ea\u67091%\u7684\u8d85\u7ea7\u5b66\u9738\u624d\u80fd\u591f\u89e3\u51fa\u6765\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u4e4d\u4e00\u770b\uff0c\u9ad8\u6b21\u6839\u5f0f\u65b9\u7a0b\u561b\uff0c\u53bb\u6839\u53f7\u3001\u6362\u5143\u5457\uff0c\u4f46\u662f\u4ed4\u7ec6\u4e00\u770b\uff0c\u53bb\u6839\u53f7\u540e\u662f\u56db\u6b21\u65b9\u7a0b\uff0c\u8fd8\u662f\u6ca1\u6709\u529e\u6cd5\u6c42\u89e3\uff0c\u4e8e\u662f\uff0c\u4e00\u4e2a\u975e\u5e38\u6709\u521b\u610f\u7684\u65b9\u6cd5\u5e94\u8fd0\u800c\u751f\uff0c\u6362\u5143\u540e\uff0c\u6c42\u89e3\u672a\u77e5\u6570\u662f$a$\u7684\u65b9\u7a0b\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\u4f9d\u9898\u610f\u53ef\u5f97\uff1ax\\geqslant0\uff08\u8d1f\u6570\u65e0\u6cd5\u5f00\u5e73\u65b9\uff0c\u8fd9\u662f\u524d\u63d0\uff09\\\\&amp;\u4e24\u8fb9\u5e73\u65b9\uff1aa-\\sqrt{a+x}=x^2\\Rightarrow a-x^2=\\sqrt{a+x}\\\\&amp;\u518d\u6b21\u5e73\u65b9\uff1aa^2-2ax^2+x^4=a+x\\\\&amp;\\therefore a^2-2ax^2-a-x+x^4=0\\\\&amp;\u8fd9\u662f\u4e00\u4e2a\u57fa\u4e8ex\u7684\u56db\u6b21\u65b9\u7a0b\uff0c\u4e0d\u592a\u597d\u6c42\u89e3\uff0c\u901a\u8fc7\u6362\u4f4d\u601d\u8003\u53d1\u73b0\uff0c\u8fd9\u4e5f\u662f\u4e00\u4e2a\u57fa\u4e8ea\u7684\u4e8c\u6b21\u65b9\u7a0b\uff0c\u4e0d\u59a8\u89e3\u51faa\u6765\uff1a\\\\&amp;\\therefore a=\\frac{(2x^2+1)\\pm\\sqrt{(2x^2+1)^2-4(x^4-x)}}{2}\\\\&amp;\\therefore a=\\frac{2x^2+1\\pm\\sqrt{(2x+1)^2}}{2}\\\\&amp;\\therefore a=x^2+x+1\u6216a=x^2-x\u901a\u8fc7\u8fd9\u79cd\u53d8\u6362\uff0c\u6210\u529f\u964d\u5e42\uff0c\u518d\u89e3\u8fd9\u4e24\u4e2a\u57fa\u4e8ex\u7684\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5373\u53ef\u3002\\\\&amp;\\therefore x^2+x+1-a=0\\ldots(1)\u6216\u8005x^2-x-a=0\\ldots(2)\\\\&amp;\\therefore (1)\u5f0f\u7684\u89e3\uff1ax=\\frac{-1\\pm\\sqrt{4a-3}}{x}\\Rightarrow\\begin{cases}x_1=\\displaystyle\\frac{-1+\\sqrt{4a-3}}{2}\\\\x_2=\\displaystyle\\frac{-1-\\sqrt{4a-3}}{2}(\\because x\\geqslant0\uff0c\u820d\u53bb)\\end{cases}\\\\&amp;\\therefore(2)\u5f0f\u7684\u89e3\uff1ax=\\frac{1\\pm\\sqrt{4a+1}}{2}\\Rightarrow\\begin{cases}x_3=\\displaystyle\\frac{1+\\sqrt{4a+1}}{2}\\\\x_4=\\displaystyle\\frac{1-\\sqrt{4a+1}}{2}\\end{cases}\\\\&amp;\\therefore\u539f\u65b9\u7a0b\u6709\u4e09\u4e2a\u5b9e\u6839\u3002\\end{split}$<\/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-eb0c26e stk-block-background\" data-block-id=\"eb0c26e\"><style>.stk-eb0c26e{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-eb0c26e:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-eb0c26e-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-5468d7c\" data-v=\"4\" data-block-id=\"5468d7c\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-5468d7c-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-5468d7c-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-e5f9903\" data-block-id=\"e5f9903\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u4e09\uff1a\u89e3\u65b9\u7a0b$(x+2)^4+(x+1)^4=17$\uff0c\u521d\u4e2d\u6570\u5b66\u7ade\u8d5b\u9898\uff0c\u89e3\u9ad8\u6b21\u65b9\u7a0b\uff0c\u6709\u96be\u5ea6\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u89e3\u9ad8\u6b21\u65b9\u7a0b\uff0c\u901a\u5e38\u7684\u601d\u8def\u5c31\u662f\u6362\u5143\u964d\u5e42\uff0c\u8fd9\u91cc\u4e5f\u4e0d\u4f8b\u5916\uff0c\u4f46\u662f\u672c\u9898\u7684\u6362\u5143\u4e0d\u662f\u6362\u4e00\u4e2a\uff0c\u800c\u662f\u6362\u4e24\u4e2a\uff0c\u901a\u8fc7\u8bbe\u7f6e\u4e24\u4e2a\u5143\uff0c\u8fbe\u5230\u964d\u5e42\u7684\u76ee\u7684\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\u4ee4a=x+2\uff0cb=x+1\\\\&amp;\\therefore a-b=1\\\\&amp;ab=(x+2)(x+1)\\ \\ \u8bbe\u6cd5\u6c42\u89e3ab\u7684\u503c\uff0c\u5373\u53ef\u6c42\u5f97x\u7684\u503c\u3002\u4e0b\u9762\u901a\u8fc7\u4e00\u7cfb\u5217\u7cbe\u5f69\u53d8\u6362\u6c42\u51faab:\\\\&amp;\\because a^4+b^4=17\\\\&amp;\\therefore(a^2)^2+(b^2)^2+2a^2b^2-2a^2b^2=17\\\\&amp;\\therefore(a^2+b^2)^2-2a^2b^2=17\\\\&amp;\\therefore\\displaystyle[(a-b)^2+2ab]^2-2a^2b^2=17 \\\\&amp;\\therefore (1+2ab)^2-2a^2b^2-17=0\\\\&amp;\\therefore4a^2b^2+4ab+1-2a^2b^2-17=0\\\\&amp;\\therefore2a^2b^2+4ab-16=0\\\\&amp;\\therefore (ab)^2+2ab-8=0\\\\&amp;\\therefore(ab+4)(ab-2)=0\\\\&amp;\\therefore ab=-4\u6216ab=2\\\\&amp;(1)\u5f53ab=-4\u65f6\uff1a(x+2)(x+1)=-4\\\\&amp;\\therefore x^2+3x+6=0\\\\&amp;\\because\\Delta=3^2-4\\times1\\times6=-15\\leqslant0\\\\&amp;\\therefore\u65b9\u7a0b\u65e0\u5b9e\u6839\u3002\\\\&amp;(2)\u5f53ab=2\u65f6\uff1a(x+2)(x+1)=2\\\\&amp;\\therefore x^2+3x+2=2\\Rightarrow x^2+3x=0\\\\&amp;\\therefore x(x+3)=0\\\\&amp;\\therefore x_1=0\uff0cx_2=-3\uff0c\u8fd9\u5c31\u662f\u539f\u65b9\u7a0b\u7684\u4e24\u4e2a\u5b9e\u6839\u3002\\end{split}$<\/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-b710977 stk-block-background\" data-block-id=\"b710977\"><style>.stk-b710977{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-b710977:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-b710977-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-9c4aceb\" data-v=\"4\" data-block-id=\"9c4aceb\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-9c4aceb-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-9c4aceb-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-0ec7b31\" data-block-id=\"0ec7b31\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u56db\uff1a\u89e3\u65b9\u7a0b$\\displaystyle(3+2\\sqrt2)^x+(3-2\\sqrt2)^x=6$\uff0c\u521d\u4e2d\u6570\u5b66\u7ade\u8d5b\u9898\uff0c\u6709\u96be\u5ea6\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u9047\u5230\u6307\u6570\u65b9\u7a0b\uff0c\u9700\u8981\u4f7f\u7528\u5e42\u76f8\u7b49\u5219\u5e95\u6570\u4e0e\u6307\u6570\u5747\u76f8\u7b49\u7684\u5b9a\u4e49\u3002\u8fd9\u91cc\u7684\u4e24\u4e2a\u5e95\u6570\u6709\u4ec0\u4e48\u7279\u70b9\u5462\uff1f\u9700\u8981\u627e\u5230\u4e24\u4e2a\u5e95\u6570\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u7136\u540e\u7528\u6362\u5143\u6cd5\u6c42\u89e3\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\u4ee4(3+2\\sqrt2)^x=t\uff0c\u5219t\\gt0\\\\&amp;\\because 3-2\\sqrt2=\\frac{(3-2\\sqrt2)(3+2\\sqrt2)}{3+2\\sqrt2}=\\frac{3^2-(2\\sqrt2)^2}{3+2\\sqrt2}=\\frac{1}{3+2\\sqrt2}\\\\&amp;\\therefore(3-2\\sqrt2)^x=\\frac1t\\\\&amp;\\therefore t+\\frac1t=6\\\\&amp;\\therefore t^2-6t+1=0\\\\&amp;\\therefore t=\\frac{6\\pm\\sqrt{32}}{2}=3\\pm2\\sqrt2\\Rightarrow\\begin{cases}(3+2\\sqrt2)^x=3+\\sqrt2\\\\(3+2\\sqrt2)^x=3-2\\sqrt2=\\displaystyle\\frac{1}{3+2\\sqrt2}=(3+2\\sqrt2)^{-1}\\end{cases}\\\\&amp;\\therefore x_1=1\uff0cx_2=-1\\end{split}$<\/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-da47e03 stk-block-background\" data-block-id=\"da47e03\"><style>.stk-da47e03{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-da47e03:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-da47e03-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-4bfdb9e\" data-v=\"4\" data-block-id=\"4bfdb9e\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-4bfdb9e-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-4bfdb9e-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-4329e71\" data-block-id=\"4329e71\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u4e94\uff1a\u89e3\u65b9\u7a0b$\\displaystyle\\sqrt{x^2-9}+\\sqrt{x^2+9}=\\sqrt7+5$\uff0c\u4e0d\u8981\u5e73\u65b9\uff0c\u6709\u597d\u65b9\u6cd5\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u4e4d\u4e00\u770b\uff0c\u89c1\u5230\u6839\u5f0f\u65b9\u7a0b\uff0c\u5148\u4e24\u8fb9\u5e73\u65b9\u53bb\u6839\u53f7\uff0c\u4f46\u662f\u672c\u9898\u53f3\u8fb9\u4e5f\u662f\u4e00\u4e2a\u6839\u5f0f\uff0c\u5982\u679c\u79fb\u9879\u540e\u518d\u5e73\u65b9\uff0c\u8ba1\u7b97\u91cf\u6bd4\u8f83\u5927\uff0c\u4e5f\u4e0d\u5bb9\u6613\u6c42\u89e3\u3002\u7531\u6b64\uff0c\u53ef\u4ee5\u8003\u8651\u4f7f\u7528\u6362\u5143\u6cd5\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\u4ee4\\sqrt{x^2+9}=a(a\\geqslant0)\uff0c\\sqrt{x^2-9}=b(b\\geqslant0)\\\\&amp;\\therefore \\begin{cases}a+b=\\sqrt7+5\\ldots(1)\\\\a^2-b^2=18\\ \\ \\ \\ \\ldots(2)\\end{cases}\\\\&amp;\u7531(2)\u5f0f\u53ef\u5f97\uff1a(a+b)(a-b)=18\\\\&amp;\\therefore(\\sqrt7+5)(a-b)=18\\\\&amp;\\therefore a-b=\\frac{18}{\\sqrt7+5}=5-\\sqrt7\\\\&amp;\\therefore\\begin{cases}a+b=5+\\sqrt7\\\\a-b=5-\\sqrt7\\end{cases}\\\\&amp;\\therefore a=5\uff0cb=\\sqrt7\\\\&amp;\\therefore \\sqrt{x^2+9}=5\\\\&amp;x^2+9=25\\\\&amp;x^2=16\\\\&amp;\\therefore x=\\pm4\\end{split}$<\/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-51c3fc0 stk-block-background\" data-block-id=\"51c3fc0\"><style>.stk-51c3fc0{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-51c3fc0:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-51c3fc0-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-853c834\" data-v=\"4\" data-block-id=\"853c834\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-853c834-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-853c834-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-95b2c38\" data-block-id=\"95b2c38\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u516d\uff1a\u89e3\u65b9\u7a0b$\\displaystyle\\frac{1+3^{-x}}{1+3^x}=3$\uff0c1992\u5e74\u7684\u9ad8\u8003\u9898\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u867d\u7136\u662f\u9ad8\u8003\u9898\uff0c\u4f46\u662f\u5982\u679c\u65b9\u6cd5\u5f97\u5f53\uff0c\u7528\u521d\u4e2d\u7684\u6570\u5b66\u77e5\u8bc6\u4e5f\u53ef\u4ee5\u6c42\u89e3\u3002\u9047\u5230\u6307\u6570\u65b9\u7a0b\uff0c\u4e00\u822c\u6765\u8bf4\u9700\u8981\u4f7f\u7528\u6362\u5143\u6cd5\u6c42\u89e3\uff0c\u672c\u9898\u4e5f\u4e0d\u4f8b\u5916\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\u4ee43^x=t(t\\gt0)\uff0c\u52193^{-x}=\\frac1{3^x}=\\frac1t\\\\&amp;\\therefore \\frac{1+\\frac{1}{t}}{1+t}=3\\\\&amp;\\therefore 1+\\frac1t=3+3t\\\\&amp;\\therefore3t^2+2t-1=0\\\\&amp;\\therefore (3t-1)(t+1)=0\\\\&amp;\\therefore t_1=\\frac13\uff0ct_2=-1(\u4e0d\u7b26\u5408\u6761\u4ef6\uff0c\u820d\u53bb)\\\\&amp;\\therefore t=\\frac13\\\\&amp;\\therefore 3^x=\\frac13\\\\&amp;\\therefore x=-1\\end{split}$<\/p><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u2003\u2003\u9898\u76ee\u4e00\uff1a\u89e3\u65b9\u7a0b$2\\sqrt{x-3}+6=x$\uff0c1977\u5e74\u9ad8\u8003\u9898\uff0c\u770b\u4f3c\u7b80\u5355\uff0c\u4f46\u6709\u9677\u9631\u3002\u2003\u2003\u89e3\u9898\u601d\u8def\uff1a\u8fd9\u4e2a [&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-580","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\/580","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=580"}],"version-history":[{"count":0,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=\/wp\/v2\/posts\/580\/revisions"}],"wp:attachment":[{"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=580"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=580"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=580"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}