{"id":461,"date":"2024-01-10T15:00:31","date_gmt":"2024-01-10T07:00:31","guid":{"rendered":"https:\/\/big-tan.top\/?p=461"},"modified":"2024-02-13T12:03:44","modified_gmt":"2024-02-13T04:03:44","slug":"%e4%bb%a3%e6%95%b0%e5%bc%8f%e6%b1%82%e5%80%bc%e9%97%ae%e9%a2%98%e6%8a%80%e5%b7%a7%e9%9b%86%e9%94%a6%ef%bc%88%e4%b8%89%ef%bc%89","status":"publish","type":"post","link":"https:\/\/itantan.eu.org\/?p=461","title":{"rendered":"\u4ee3\u6570\u5f0f\u6c42\u503c\u95ee\u9898\u6280\u5de7\u96c6\u9526\uff08\u4e09\uff09"},"content":{"rendered":"\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-94e7ca6 stk-block-background\" data-block-id=\"94e7ca6\"><style>.stk-94e7ca6{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-94e7ca6:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-94e7ca6-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-4773c45\" data-v=\"4\" data-block-id=\"4773c45\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-4773c45-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-4773c45-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-c272485\" data-block-id=\"c272485\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u4e00\uff1a\u82e5$x^2-x+1=0$\uff0c\u6c42$x^{2015}-x^{2014}$\u7684\u503c\u3002\u5317\u5927\u9644\u4e2d\u81ea\u4e3b\u62db\u751f\u8003\u8bd5\u9898\uff0c\u96be\u5ea6\u975e\u5e38\u5927\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u4e4d\u4e00\u770b\uff0c\u89e3\u51fa\u6765$x$\u7684\u503c\u4ee3\u5165\u6c42\u89e3\u5373\u53ef\uff0c\u4f46\u662f\u4ed4\u7ec6\u7814\u7a76\u53d1\u73b0\uff0c$x$\u65e0\u5b9e\u6570\u6839\uff0c\u663e\u7136\u4e0d\u884c\u3002\u7ecf\u8fc7\u89c2\u5bdf\u53d1\u73b0$x^{2015}-x^{2014}\u53ef\u4ee5\u53d8\u6362\u4e3ax^{2014}(x-1)\uff0cx-1=x^2$\uff0c$x^2-x+1$\u53ef\u4ee5\u8bbe\u6cd5\u6784\u9020\u7acb\u65b9\u548c\u5dee\u516c\u5f0f\uff0c\u53ea\u80fd\u8bbe\u6cd5\u6c42\u5f97$x^{2016}$\u7684\u503c<strong>\u3002<\/strong><br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\\because x^2-x+1=0\\\\&amp;\\Delta=(-1)^2-4\\times1\\times1=-3\\lt0\\\\&amp;\\therefore \u65b9\u7a0b\u65e0\u5b9e\u6570\u6839\\\\&amp;\\because x^2-x+1=0\\\\&amp;\\therefore x\\ne-1\u4e14x+1\\ne0\\\\&amp;\\therefore (x+1)(x^2-x+1)=0\\\\&amp;\\therefore x^3+1=0\\\\&amp;\\therefore x^3=-1\\\\&amp;\\because x^2-x+1=0\\\\&amp;\\therefore x^2=x-1\\\\&amp;\\therefore x^{2015}-x^{2014}=x^{2014}(x-1)\\\\&amp;=x^{2014}\\cdot{x}^2=x^{2016}=\\left(x^3\\right)^{672}=(-1)^{672}=+1(\u5076\u6570\u6b21\u5e42)\\end{split}$<\/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-edb5d68 stk-block-background\" data-block-id=\"edb5d68\"><style>.stk-edb5d68{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-edb5d68:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-edb5d68-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-007035c\" data-v=\"4\" data-block-id=\"007035c\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-007035c-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-007035c-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-51fe1bb\" data-block-id=\"51fe1bb\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u4e8c\uff1a\u82e5$a\u3001b\u3001c$\u662f\u6b63\u6570\uff0c\u4e14\u6ee1\u8db3$a+b+c=9\uff0c\\displaystyle\\frac1{a+b}+\\frac1{b+c}+\\frac1{a+c}=\\frac{10}{9}$\uff0c\u6c42$\\displaystyle\\frac{a}{b+c}+\\frac{b}{c+a}+\\frac{c}{a+b}$\u7684\u503c\uff0c\u521d\u4e2d\u6570\u5b66\u7ade\u8d5b\u9898\uff0c\u4ee3\u6570\u5f0f\u6c42\u503c\uff0c\u96be\u5ea6\u4e0d\u5927\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u4ee3\u6570\u5f0f\u6c42\u503c\uff0c\u53ef\u4ee5\u7528\u5df2\u77e5\u6761\u4ef6\u8fdb\u884c\u66ff\u6362\uff0c\u7136\u540e\u518d\u7528\u5316\u7b80\u7684\u65b9\u5f0f\u6c42\u503c\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\\because a+b+c=9\\\\&amp;\\therefore \\begin{cases}a=9-(b+c)\\\\b=9-(a+c)\\\\c=9-(a+b)\\end{cases}\\\\&amp;\u539f\u5f0f=\\frac{9-(b+c)}{b+c}+\\frac{9-(a+c)}{a+c}+\\frac{9-(a+b)}{a+b}\\\\&amp;=\\frac9{b+c}-1+\\frac9{a+c}-1+\\frac9{a+b}-1\\\\&amp;=\\frac9{b+c}+\\frac9{a+c}+\\frac9{a+b}-3\\\\&amp;=9\\times\\left(\\frac1{b+c}+\\frac1{a+c}+\\frac1{a+b}\\right)-3\\\\&amp;=9\\times\\frac{10}{9}-3=7\\end{split}$<\/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-5fc776e stk-block-background\" data-block-id=\"5fc776e\"><style>.stk-5fc776e{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-5fc776e:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-5fc776e-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-798b6df\" data-v=\"4\" data-block-id=\"798b6df\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-798b6df-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-798b6df-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-7f034ea\" data-block-id=\"7f034ea\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u4e09\uff1a\u5df2\u77e5$a\u3001b\u3001c$\u4e3a\u5b9e\u6570\uff0c\u4e14$\\displaystyle a^2+b^2+c^2=1\uff0ca(\\frac1b+\\frac1c)+b(\\frac1a+\\frac1c)+c(\\frac1a+\\frac1b)=-3$\uff0c\u6c42$a+b+c$\u7684\u503c\u3002\u521d\u4e2d\u6570\u5b66\u7ade\u8d5b\u9898\uff0c\u770b\u4f3c\u7b80\u5355\uff0c\u89e3\u8d77\u6765\u4e0d\u5bb9\u6613\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u7c7b\u4f3c\u9898\u76ee\uff0c\u4e0d\u53ef\u80fd\u89e3\u51fa\u6765a\u3001b\u3001c\u6c42\u503c\uff0c\u5f97\u60f3\u529e\u6cd5\u5145\u5206\u5229\u7528\u5df2\u77e5\u6761\u4ef6\uff0c\u901a\u8fc7\u4e00\u7cfb\u5217\u4ee3\u6570\u53d8\u6362\uff0c\u5c06$a+b+c$\u770b\u6210\u4e00\u4e2a\u6574\u4f53\u8fdb\u884c\u6c42\u503c\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\u7531\u5df2\u77e5\u6761\u4ef6\u53ef\u5f97\uff1a\\frac ab+\\frac ac+\\frac ba+\\frac bc+\\frac ca+\\frac cb=-3\\\\&amp;=\\frac{a+c}{b}+\\frac{a+b}{c}+\\frac{b+c}{a}=-3\\\\&amp;\\therefore \\left(\\frac{a+c}{b}+1\\right)+\\left(\\frac{a+b}{c}+1\\right)+\\left(\\frac{b+c}{a}+1\\right)=0\\\\&amp;\\therefore\\frac{a+b+c}{b}+\\frac{a+b+c}{c}+\\frac{a+b+c}{a}=0\\\\&amp;\\therefore(a+b+c)\\left(\\frac1a+\\frac1b+\\frac1c\\right)=0\\\\&amp;\\therefore a+b+c=0\u6216\u8005\\frac1a+\\frac1b+\\frac1c=0\\\\&amp;\\because \\frac1a+\\frac1b+\\frac1c=\\frac{ab+ac+bc}{abc}=0\\\\&amp;\\therefore ab+ac+bc=0(\u56e0\u4e3aabc\\ne0)\\\\&amp;\u7531\u5df2\u77e5\u6761\u4ef6\u53ef\u5f97\uff1a\\\\&amp;a^2+b^2+c^2=1\\\\&amp;\\because (a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ac)=1+0\\\\&amp;\\therefore a+b+c=\\pm1\\\\&amp;\\therefore a+b+c=0\u6216\u8005a+b+c=\\pm1\\end{split}$<\/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-9a12ac4 stk-block-background\" data-block-id=\"9a12ac4\"><style>.stk-9a12ac4{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-9a12ac4:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-9a12ac4-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-1b4d887\" data-v=\"4\" data-block-id=\"1b4d887\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-1b4d887-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-1b4d887-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-d491090\" data-block-id=\"d491090\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u56db\uff1a\u5df2\u77e5$a+b+c=0$\uff0c\u6c42$\\displaystyle\\frac{a^2}{2a^2+bc}+\\frac{b^2}{2b^2+ac}+\\frac{c^2}{2c^2+ab}$\u7684\u503c\u3002\u521d\u4e2d\u6570\u5b66\u7ade\u8d5b\u9898\uff0c\u4ee3\u6570\u5f0f\u6c42\u503c\uff0c\u96be\u5ea6\u76f8\u5f53\u5927\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u8fd9\u662f\u4e00\u4e2a\u590d\u6742\u5206\u5f0f\u6c42\u503c\uff0c\u901a\u5206\u6c42\u503c\u663e\u7136\u4e0d\u884c\uff0c\u53ea\u80fd\u5148\u8bbe\u6cd5\u51d1\u51fa\u6765\u5408\u9002\u7684\u9879\uff0c\u7136\u540e\u901a\u8fc7\u56e0\u5f0f\u5206\u89e3\uff0c\u8bbe\u6cd5\u5c06\u590d\u6742\u5206\u5f0f\u53d8\u6362\u4e3a\u7b80\u5355\u5206\u5f0f\u7684\u5f62\u5f0f\uff0c\u518d\u6c42\u503c\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\\because a+b+c=0\\\\&amp;\\therefore\\begin{cases}a=-(b+c)\\\\b=-(a+c)\\\\c=-(a+b)\\end{cases}\\\\&amp;\\therefore2a^2+bc=a^2+a^2+bc=a^2-a(b+c)+bc=(a-b)(a-c)\\\\&amp;\\therefore \\frac{a^2}{2a^2+bc}=\\frac{a^2}{(a-b)(a-c)}=\\frac13\\left(\\frac{a}{a-b}+\\frac{a}{a-c}\\right)\\ldots(1)\\\\&amp;\u540c\u7406\u53ef\u5f97\uff1a\\\\&amp;\\frac{b^2}{2b^2+ac}=\\frac13\\left(\\frac{b}{b-c}+\\frac{b}{b-a}\\right)\\ldots(2)\\\\&amp;\\frac{c^2}{2c^2+ab}=\\frac13\\left(\\frac{c}{c-a}+\\frac{c}{c-b}\\right)\\ldots(3)\\\\&amp;\\therefore\u539f\u5f0f=(1)+(2)+(3)\\\\&amp;=\\frac13\\left[(\\frac{a}{a-b}+\\frac{b}{b-a})+(\\frac{a}{a-c}+\\frac{c}{c-a})+(\\frac{b}{b-c}+\\frac{c}{c-b})\\right]=1\\end{split}$<\/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-b58c201 stk-block-background\" data-block-id=\"b58c201\"><style>.stk-b58c201{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-b58c201:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-b58c201-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-f20af8e\" data-v=\"4\" data-block-id=\"f20af8e\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-f20af8e-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-f20af8e-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-5cae386\" data-block-id=\"5cae386\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u4e94\uff1a\u82e5$a^2+b^2+a+b-ab+1=0$\u6c42$a+b$\u7684\u503c\u3002\u521d\u4e2d\u6570\u5b66\u7ade\u8d5b\u9898\u76ee\uff0c90%\u540c\u5b66\u65e0\u4ece\u4e0b\u624b\uff0c\u4e3b\u8981\u8fd8\u662f\u627e\u4e0d\u5230\u601d\u8def\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u8fd9\u79cd\u9898\u76ee\uff0c\u901a\u5e38\u9700\u8981\u5c06a+b\u770b\u4f5c\u6574\u4f53\u6c42\u503c\u3002\u4ed4\u7ec6\u89c2\u5bdf\u6761\u4ef6\u53d1\u73b0\uff0c\u6761\u4ef6\u7b49\u5f0f\u4f3c\u4e4e\u53ef\u4ee5\u8f6c\u6362\u6210\u51e0\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u53ea\u662f$a^2\u3001b^2$\u4f3c\u4e4e\u6709\u70b9\u5c11\uff0c\u4f46\u662f\u53ef\u4ee5\u901a\u8fc7\u7ed9\u6761\u4ef6\u7b49\u5f0f\u4e24\u8fb9\u540c\u65f6\u4e58\u4ee52\u6765\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u3002<br><br>$\\begin{split}\u89e3\u6cd5\u4e00\uff1a\\\\&amp;\\because a^2+b^2+a+b-ab+1=0\\\\&amp;\\therefore 2a^2+2b^2+2a+2b-2ab+2=0\\\\&amp;\\therefore (a^2+2a+1)+(b^2+2b+1)+(a^2-2ab+b^2)=0\\\\&amp;\\therefore(a+1)^2+(b+1)^2+(a-b)^2=0\\\\&amp;\\because \\begin{cases}(a+1)^2\\geqslant0\\\\(b+1)^\\geqslant0\\\\(a-b)^2\\geqslant0\\end{cases}\\\\&amp;\\therefore\\begin{cases}a+1=0\\\\b+1=0\\\\a-b=0\\end{cases}\\\\&amp;\\Rightarrow a=b=-1\\\\&amp;\\therefore a+b=-1+(-1)=-2\\end{split}$<br>$\\begin{split}\u89e3\u6cd5\u4e8c\uff1a\\\\&amp;\u5c06\u5df2\u77e5\u6761\u4ef6\u4f5c\u4e3a\u4e00\u4e2aa\u662f\u672a\u77e5\u6570\uff0cb\u662f\u5e38\u6570\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u3002\\\\&amp;\\because a^2+a(1-b)+(b^2+b+1)=0\\\\&amp;\\therefore\u82e5\u65b9\u7a0b\u6709\u5b9e\u6839\u5219\uff1a\\\\&amp;\\Delta=(1-b)^2-4(b^2+b+1)=-3(b+1)^2\\geqslant0(\u6240\u4ee5\u53ea\u80fd\u7b49\u4e8e0)\\Rightarrow b=-1\\\\&amp;\\therefore a=\\frac{-(1-b)\\pm\\sqrt{\\Delta}}{2}=-1\\\\&amp;\\therefore a+b=-2\\\\&amp;\u8fd9\u79cd\u89e3\u6cd5\u4e8c\u4e5f\u6bd4\u8f83\u5de7\u5999\uff0c\u5229\u7528\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u6027\u8d28\u6c42\u89e3\uff0c\u66f4\u52a0\u7b80\u6d01\uff0c\u8fd9\u65b9\u6cd5\u4e5f\u662f\u7edd\u4e86\uff01\\end{split}$<\/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-d30dc2a stk-block-background\" data-block-id=\"d30dc2a\"><style>.stk-d30dc2a{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-d30dc2a:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-d30dc2a-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-593e1d0\" data-v=\"4\" data-block-id=\"593e1d0\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-593e1d0-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-593e1d0-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-d71b039\" data-block-id=\"d71b039\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u516d\uff1a\u82e5$a\u3001b\u3001c\u4e3a\u6574\u6570\uff0cab+c=85\uff0ca+bc=86$\uff0c\u6c42abc\u7684\u503c\u3002\u521d\u4e2d\u6570\u5b66\u7ade\u8d5b\u9898\u76ee\uff0c\u96be\u5ea6\u5927\uff0c\u6280\u5de7\u6027\u5f3a\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u4ec5\u4ec5\u901a\u8fc7\u540e\u9762\u4e24\u4e2a\u6761\u4ef6\u8fdb\u884c\u53d8\u6362\uff0c\u65e0\u8bba\u5982\u4f55\u4e5f\u4e0d\u53ef\u80fd\u6c42\u51fa\u6765a\u3001b\u3001c\u7684\u503c\uff0c\u53ea\u80fd\u5145\u5206\u5229\u7528a\u3001b\u3001c\u4e3a\u6574\u6570\u7684\u8fd9\u4e2a\u6761\u4ef6\u7f29\u5c0f\u8303\u56f4\uff0c\u4ece\u800c\u6c42\u5f97a\u3001b\u3001c\u7684\u503c\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\u8bbe\\begin{cases}ab+c=85\\ldots(1)\\\\a+bc=86\\ldots(2)\\end{cases}\\\\&amp;(2)-(1)\u5f97\uff1aa-ab+bc-c=1\\\\&amp;a(1-b)-c(1-b)=1\\\\&amp;\\therefore(1-b)(a-c)=1\\\\&amp;\\because a\u3001b\u3001c\u4e3a\u6574\u6570\uff0c\u6574\u6570\u7684\u79ef\u4e3a1\uff0c\u53ea\u80fd\u662f1\\times1\u6216\u8005(-1)\\times(-1)\\\\&amp;\\therefore 1-b\u3001a-c\u4e5f\u5fc5\u7136\u662f\u6574\u6570\uff0c\u6240\u4ee5\u5206\u4e24\u79cd\u60c5\u51b5\uff1a\\\\&amp;(1)\\begin{cases}1-b=1\\\\a-c=1\\end{cases}\\Rightarrow\\begin{cases}b=0\\\\a=86\\\\c=85\\end{cases} \\Rightarrow abc=0\\\\&amp;(2)\\begin{cases}1-b=-1\\\\a-c=-1\\end{cases}\\Rightarrow \\begin{cases}b=2\\\\a=28\\\\c=29\\end{cases}\\Rightarrow abc=28\\times2\\times29=1624\\end{split}$<\/p><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u2003\u2003\u9898\u76ee\u4e00\uff1a\u82e5$x^2-x+1=0$\uff0c\u6c42$x^{2015}-x^{2014}$\u7684\u503c\u3002\u5317\u5927\u9644\u4e2d\u81ea\u4e3b\u62db\u751f\u8003\u8bd5\u9898\uff0c\u96be [&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-461","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\/461","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=461"}],"version-history":[{"count":0,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=\/wp\/v2\/posts\/461\/revisions"}],"wp:attachment":[{"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=461"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=461"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=461"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}