{"id":601,"date":"2024-02-02T11:34:04","date_gmt":"2024-02-02T03:34:04","guid":{"rendered":"https:\/\/big-tan.top\/?p=601"},"modified":"2024-02-15T11:51:20","modified_gmt":"2024-02-15T03:51:20","slug":"%e5%88%9d%e4%b8%ad%e6%95%b0%e5%ad%a6%e8%a7%a3%e4%b8%8d%e7%ad%89%e5%bc%8f%e6%8a%80%e5%b7%a7%e9%9b%86%e9%94%a6","status":"publish","type":"post","link":"https:\/\/itantan.eu.org\/?p=601","title":{"rendered":"\u521d\u4e2d\u6570\u5b66\u89e3\u4e0d\u7b49\u5f0f\u6280\u5de7\u96c6\u9526"},"content":{"rendered":"\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-2ae12e1 stk-block-background\" data-block-id=\"2ae12e1\"><style>.stk-2ae12e1{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-2ae12e1:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-2ae12e1-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-b926d2c\" data-v=\"4\" data-block-id=\"b926d2c\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-b926d2c-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-b926d2c-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-dcd1d72\" data-block-id=\"dcd1d72\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u4e00\uff1a\u89e3\u4e0d\u7b49\u5f0f$2+log_{\\frac12}(5-x)+log_2{\\frac1x}\\gt0$\u30021993\u5e74\u9ad8\u8003\u6570\u5b66\u9898\u76ee\uff0c\u8fd9\u9898\u4e0d\u5f97\u5206\uff0c\u8003\u5927\u5b66\u6709\u96be\u5ea6\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def<\/strong>\uff1a\u5145\u5206\u5229\u7528\u5bf9\u6570\u7684\u6027\u8d28\uff1a\u96f6\u548c\u8d1f\u6570\u6ca1\u6709\u5bf9\u6570\uff0c\u518d\u5229\u7528\u5bf9\u6570\u7684\u8fd0\u7b97\u89c4\u5219\u8fdb\u884c\u6c42\u89e3\u3002<br><br>$\\begin{split}\\text{\u89e3\uff1a}\\\\&amp;\\text{\u4f9d\u9898\u610f\uff1a}\\because\\begin{cases}5-x\\gt0\\\\x\\gt0\\end{cases}\\\\&amp;\\therefore0\\lt x\\lt5\\\\&amp;\u6839\u636e\u5bf9\u6570\u6362\u5e95\u516c\u5f0f\uff1a\u539f\u5f0f\u5de6\u8fb9=\\log_24-log_2{(5-x)}+log_2{\\frac1x}\\\\&amp;\\therefore \\log_2{\\frac{4}{(5-x)x}}\\gt0=\\log_21\\\\&amp;\\therefore \\frac{4}{(5-x)x}\\gt1\\\\&amp;\\therefore x^2-5x+4>0\\\\&amp;\\therefore (x-4)(x-1)\\gt0\\\\&amp;\\therefore x\\gt4\u6216x\\lt1\\\\&amp;\\therefore 0\\lt x\\lt1\u62164\\lt x\\lt5\\end{split}$<\/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-b703b49 stk-block-background\" data-block-id=\"b703b49\"><style>.stk-b703b49{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-b703b49:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-b703b49-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-954ce75\" data-v=\"4\" data-block-id=\"954ce75\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-954ce75-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-954ce75-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-5a64303\" data-block-id=\"5a64303\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u4e8c\uff1a\u89e3\u4e0d\u7b49\u5f0f$\\sqrt{2x+5}\\gt x+1$\u30021985\u5e74\u9ad8\u8003\u9898\uff0c\u770b\u4f3c\u7b80\u5355\uff0c\u6ee1\u5206\u4e0d\u6613\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u4e4d\u4e00\u770b\uff0c\u9898\u76ee\u4f3c\u4e4e\u7b80\u5355\uff0c\u4f46\u662f\u7a0d\u4e0d\u4ed4\u7ec6\uff0c\u4e5f\u53ef\u80fd\u5931\u5206\uff0c\u5173\u952e\u662f\u8003\u5bdf\u96c6\u5408\u7684\u5e94\u7528\uff0c\u57fa\u672c\u6982\u5ff5\u4e0d\u80fd\u6a21\u7cca\uff0c\u5426\u5219\uff0c\u5f97\u6ee1\u5206\u4e0d\u6613\u3002<br><br>$\\begin{split}\\text{\u89e3\uff1a}\\\\&amp;\\text{\u5206\u4e24\u79cd\u60c5\u51b5\uff1a}\\\\&amp;(\u4e00)\\begin{cases}2x+5\\geqslant0\\\\x+1\\lt0\\end{cases}\\Rightarrow -\\frac{5}{2}\\leqslant x\\lt -1\\\\&amp;(\u4e8c)\\begin{cases}2x+5\\geqslant0\\qquad\\quad\\dots(1)\\\\x+1\\geqslant0\\qquad\\quad\\ldots(2)\\\\ \\sqrt{2x+5}\\gt x+1\\ldots(3)\\end{cases}\\\\&amp;\u7531(1)\u5f97\uff1ax\\geqslant -\\frac{5}{2}\uff0c\u7531(2)\u5f97\uff1ax\\geqslant-1\\\\&amp;(3)\u5f0f\u4e24\u8fb9\u5e73\u65b9\u5f97\uff1a2x+5\\geqslant(x+1)^2\\Rightarrow2x+5\\gt x^2+2x+1\\Rightarrow x^2-4\\lt0\\\\&amp;\\therefore -2\\lt x\\lt2\\\\&amp;\u7b2c\u4e8c\u79cd\u60c5\u51b5\u7684\u6761\u4ef6\uff1a-1\\leqslant x\\lt2\\\\&amp;\\therefore\u7efc\u4e0a\u6240\u8ff0\u4e0d\u7b49\u5f0f\u7684\u89e3\u96c6\uff1a-\\frac{5}{2}\\leqslant x\\lt2\\end{split}$<\/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-185d6f0 stk-block-background\" data-block-id=\"185d6f0\"><style>.stk-185d6f0{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-185d6f0:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-185d6f0-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-f236814\" data-v=\"4\" data-block-id=\"f236814\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-f236814-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-f236814-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-67fac18\" data-block-id=\"67fac18\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u4e09\uff1a\u89e3\u65b9\u7a0b$\\displaystyle3^{\\sqrt{5x-y}}+2^{\\sqrt{y-5}}=2$\u3002\u89e3\u6307\u6570\u65b9\u7a0b\uff0c\u96be\u5012\u4e00\u7247\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u4e4d\u4e00\u770b\uff0c\u6307\u6570\u65b9\u7a0b\uff0c\u8fd8\u6709\u4e24\u4e2a\u672a\u77e5\u6570\uff0c\u65e0\u4ece\u4e0b\u624b\uff0c\u5b9e\u9645\u4e0a\u662f\u9700\u8981\u4ece\u6307\u6570\u548c\u6839\u5f0f\u7684\u6027\u8d28\u5165\u624b\uff0c\u7528\u89e3\u4e0d\u7b49\u5f0f\u7684\u601d\u8def\u6c42\u89e3\u65b9\u7a0b\uff0c\u7c7b\u4f3c\u9898\u76ee\u4e00\u5b9a\u6709\u7279\u6b8a\u7684\u6210\u7acb\u6761\u4ef6\uff0c\u53ea\u8981\u638c\u63e1\u65b9\u6cd5\uff0c\u8fd9\u7c7b\u9898\u76ee\u5176\u5b9e\u7279\u522b\u7b80\u5355\u3002<br><br>$\\begin{split}\\text{\u89e3\uff1a}\\\\&amp;\\because\\sqrt{5x-y}\\geqslant0\uff0c\\sqrt{y-5}\\geqslant0\\\\&amp;\\therefore 3^{\\sqrt{5x-y}}\\geqslant1\uff0c2^{\\sqrt{y-5}}\\geqslant1\\\\&amp;\\therefore3^{\\sqrt{5x-y}}+2^{\\sqrt{y-5}}\\geqslant2\\\\&amp;\\therefore\\text{\u65b9\u7a0b\u6210\u7acb\u7684\u552f\u4e00\u6761\u4ef6\u5c31\u662f\uff1a}3^{\\sqrt{5x-y}}=2^{\\sqrt{y-5}}=1\\\\&amp;\\therefore \\begin{cases}\\sqrt{5x-y}=0\\\\ \\sqrt{y-5}=0\\end{cases}\\\\&amp;\\therefore x=1\uff0cy=5 \\end{split}$<\/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-1161b8c stk-block-background\" data-block-id=\"1161b8c\"><style>.stk-1161b8c{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-1161b8c:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-1161b8c-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-6618495\" data-v=\"4\" data-block-id=\"6618495\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-6618495-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-6618495-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-e0edebc\" data-block-id=\"e0edebc\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u56db\uff1a\u4e0d\u7b49\u5f0f\u7ec4$\\begin{cases}5\\leqslant2x-1\\leqslant11\\\\[2ex] \\qquad x\\lt a\\end{cases}$\u7684\u6b63\u6574\u6570\u89e3\u6709\u4e09\u4e2a\uff0c\u6c42$a$\u7684\u53d6\u503c\u8303\u56f4\u3002\u4e2d\u8003\u5e38\u89c1\u9898\uff0c\u770b\u4f3c\u7b80\u5355\uff0c\u5bb9\u6613\u4e22\u5206\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u7c7b\u4f3c\u9898\u76ee\u662f\u4e2d\u8003\u5e38\u89c1\u9898\u4e4b\u4e00\uff0c\u8003\u5bdf\u6570\u8f74\u7684\u5e94\u7528\u5c1d\u8bd5\u4ee5\u53ca\u96c6\u5408\u6982\u5ff5\uff0c\u770b\u4f3c\u7b80\u5355\uff0c\u4f46\u7a0d\u4e00\u758f\u5ffd\u5c31\u5bb9\u6613\u4e22\u5206\uff0c\u6240\u4ee5\uff0c\u89e3\u8fd9\u79cd\u9898\u76ee\u4e00\u8981\u4ed4\u7ec6\uff0c\u4e8c\u8981\u6982\u5ff5\u6e05\u6670\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\[2ex]&amp;5\\leqslant2x-1\\leqslant11\\\\[2ex]&amp;6\\leqslant2x\\leqslant12\\\\[2ex]&amp;3\\leqslant x\\leqslant6\\\\[2ex]&amp;\\therefore\u53ef\u4ee5\u5f97\u51fax\u6709\u56db\u4e2a\u6b63\u6574\u6570\u89e3\\\\[2ex]&amp;\\because\u5df2\u77e5\u6761\u4ef6\u662f\u6709\u4e09\u4e2a\u6b63\u6574\u6570\u89e3\uff0c\u6240\u4ee5a\u7684\u53d6\u503c\u57285\u548c6\u4e4b\u95f4\uff1a\\\\[2ex]&amp;\\begin{cases}a=5\\Rightarrow x \\lt 5\\qquad \uff1a\u53ea\u67093\u30014\u4e24\u4e2a\u89e3\uff0c\u4e0d\u7b26\u5408\u5df2\u77e5\u6761\u4ef6 \\\\[2ex]a=6\\Rightarrow x \\lt 6\\qquad \uff1a\u67093\u30014\u30015\u4e09\u4e2a\u89e3\uff0c\u7b26\u5408\u5df2\u77e5\u6761\u4ef6\\end{cases}\\\\[2ex]&amp;\\therefore a\u7684\u53d6\u503c\u8303\u56f4\u662f\uff1a5\\lt a\\leqslant6\\end{split}$<\/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-784c895 stk-block-background\" data-block-id=\"784c895\"><style>.stk-784c895{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-784c895:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-784c895-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-0cb1a08\" data-v=\"4\" data-block-id=\"0cb1a08\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-0cb1a08-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-0cb1a08-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-0f730cc\" data-block-id=\"0f730cc\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u4e94\uff1a\u5b9e\u7cfb\u6570\u65b9\u7a0b\uff1a$x^2+ax+b=0$\u6709\u4e24\u4e2a\u5b9e\u6570\u6839$\\alpha\u3001\\beta$\uff0c\u82e5$\\lvert \\alpha\\rvert\\lt2\uff0c\\lvert \\beta\\rvert\\lt2\uff0c\\text{\u6c42\u8bc1\uff1a}2\\lvert a\\rvert\\lt4+b\\quad$\u30021993\u5e74\u5168\u56fd\u9ad8\u8003\u6570\u5b66\u9898\uff0c\u7528\u521d\u4e2d\u77e5\u8bc6\u5c45\u7136\u4e5f\u53ef\u4ee5\u6c42\u8bc1\uff0c\u4e0d\u8fc7\uff0c\u9700\u8981\u7efc\u5408\u80fd\u529b\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u4e4d\u4e00\u770b\uff0c\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u3001\u5b9e\u6570\u6839\u3001\u7edd\u5bf9\u503c\uff0c\u6bd4\u8f83\u68d8\u624b\uff0c\u4f3c\u4e4e\u65e0\u4ece\u4e0b\u624b\uff0c\u4ed4\u7ec6\u5206\u6790\u9700\u8981\u6c42\u8bc1\u7684\u7ed3\u8bba\uff0c\u76f8\u5f53\u4e8e\uff1a$\\pm2a\\lt4+b$\uff0c\u7531\u6b64\u60f3\u5230\u4e00\u5143\u4e8c\u6b21\u51fd\u6570\u7684\u56fe\u50cf\u4e0e\u53d6\u503c\u5173\u7cfb\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\\because\u4f9d\u9898\u610f\u53ef\u77e5\uff1a\\\\&amp; y=x^2+ax+b \u51fd\u6570\u7684\u56fe\u50cf\u5f00\u53e3\u671d\u4e0a\uff0c\u4e0ex\u8f74\u7684\u4e24\u4e2a\u4ea4\u70b9\u4f4d\u4e8e(-2,2)\u4e4b\u95f4\uff0c\u5373-2\\lt\\alpha\u548c\\beta\\lt2\\\\&amp;\u6839\u636e\u4e00\u5143\u4e8c\u6b21\u51fd\u6570\u7684\u56fe\u50cf\u6027\u8d28\uff1a\\\\&amp;\\begin{cases}y(-2)=(-2)^2+a(-2)+b\\gt0\\\\[2ex]y(2)=2^2+2a+b\\gt0\\end{cases}\\\\&amp;\\therefore \\begin{cases}2a\\lt4+b\\\\[2ex]-2a\\lt4+b\\end{cases}\\\\&amp;\\therefore2\\lvert a\\rvert\\lt4+b\\end{split}$<\/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-502074e stk-block-background\" data-block-id=\"502074e\"><style>.stk-502074e{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-502074e:before{background-color:#ffe2c7 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-502074e-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-3068c63\" data-v=\"4\" data-block-id=\"3068c63\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-3068c63-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-3068c63-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-c8f37ec\" data-block-id=\"c8f37ec\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u9898\u76ee\u516d\uff1a\u6bd4\u8f83\u5927\u5c0f$1.01^{100}\\text{\u4e0e}2$\uff0c\u54ea\u4e2a\u6570\u5b57\u5927\uff1f<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u7c7b\u4f3c\u9898\u76ee\uff0c\u4e00\u822c\u6709\u4e09\u79cd\u65b9\u6cd5\uff1a(1)\u4f5c\u5dee\u6cd5\uff1a\u4e24\u6570\u76f8\u51cf\uff0c\u770b\u770b\u5dee\u7684\u6b63\u8d1f\uff1b(2)\u4e24\u6570\u76f8\u9664\uff0c\u770b\u770b\u5546\u662f\u5426\u5927\u4e8e1\uff1b(3)\u653e\u7f29\u6cd5\uff0c\u628a\u590d\u6742\u7684\u5c55\u5f00\u5f0f\u653e\u5927\uff0c\u5236\u9020\u4e00\u4e2a\u4e0d\u7b49\u5f0f\uff0c\u7136\u540e\u9519\u4f4d\u7ea6\u5206\uff0c\u6700\u7ec8\u6bd4\u8f83\u5927\u5c0f\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;1.01^{100}=\\left(1+\\frac1{100}\\right)^{100}\\\\&amp;\\because1+\\frac1{100}\\gt 1+\\frac1{101}\\gt 1+\\frac1{102}\\gt 1+\\frac1{103}\\gt\\cdots\\gt 1+\\frac1{199}\\gt1\\\\&amp;\\therefore\\left(1+\\frac{1}{100}\\right)^{100}\\gt\\underbrace{(1+\\frac{1}{100})\\times(1+\\frac{1}{101})\\times(1+\\frac{1}{102})\\times(1+\\frac{1}{103})\\times\\cdots\\times(1+\\frac{1}{199})}_{100\u9879}\\\\&amp;=\\underbrace{\\frac{101}{100}\\times\\frac{102}{101}\\times\\frac{103}{102}\\times\\frac{104}{103}\\times\\cdots\\times\\frac{200}{199}}_{100\u9879}\\\\&amp;=\\underbrace{\\frac{\\color{red}\\bcancel{101}}{100}\\times\\frac{\\color{red}\\bcancel{102}}{\\color{red}\\bcancel{101}}\\times\\frac{\\color{red}\\bcancel{103}}{\\color{red}\\bcancel{102}}\\times\\frac{\\color{red}\\bcancel{104}}{\\color{red}\\bcancel{103}}\\times\\cdots\\times\\frac{200}{\\color{red}\\bcancel{199}}}_{100\u9879}=\\frac{200}{100}=2\\\\&amp;\\therefore 1.01^{100}>2\\end{split}$<\/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-5d8f495 stk-block-background\" data-block-id=\"5d8f495\"><style>.stk-5d8f495{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-5d8f495:before{background-color:#F6F6F6 !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-5d8f495-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-d3d7b86\" data-v=\"4\" data-block-id=\"d3d7b86\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-d3d7b86-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-d3d7b86-inner-blocks\">\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-dd6a071\" data-block-id=\"dd6a071\"><p class=\"stk-block-text__text\">\u2003\u2003<strong>\u62d3\u5c55\u9898\uff1a\u534e\u4e3a\u516c\u53f8\u9762\u8bd5\u9898\uff083\u5206\u949f\uff09\uff1a\u6bd4\u8f83$6^{93}\u548c9^{63}$\u5927\u5c0f\u3002<\/strong><br>\u2003\u2003<strong>\u89e3\u9898\u601d\u8def\uff1a<\/strong>\u7c7b\u4f3c\u5e42\u7684\u6bd4\u8f83\u5927\u5c0f\uff0c\u901a\u5e38\u91c7\u7528\u4f5c\u5546\u6cd5\uff0c\u901a\u8fc7\u4e24\u6570\u76f8\u9664\uff0c\u5224\u65ad\u5546\u662f\u5426\u5927\u4e8e1\u6765\u786e\u5b9a\u5927\u5c0f\u3002<br><br>$\\begin{split}\u89e3\uff1a\\\\&amp;\\frac{6^{93}}{9^{63}}=\\frac{6^{63}\\times6^{30}}{9^{63}}=\\frac{6^{63}\\times6^{30}}{(6\\times1.5)^{63}}=\\frac{6^{30}}{1.5^{63}}=\\frac{(4\\times1.5)^{30}}{1.5^{30}\\times1.5^{33}}\\\\&amp;=\\frac{4^{30}}{1.5^{33}}=\\frac{2^{60}}{1.5^{33}}\\\\&amp;\\because 2\\gt1.5\uff0c60\\gt33\\therefore \\frac{2^{60}}{1.5^{33}}\\gt1\\\\&amp;\\therefore 6^{93}\\gt9^{63}\\end{split}$<\/p><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u2003\u2003\u9898\u76ee\u4e00\uff1a\u89e3\u4e0d\u7b49\u5f0f$2+log_{\\frac12}(5-x)+log_2{\\frac1x}\\gt0$\u3002199 [&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-601","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\/601","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=601"}],"version-history":[{"count":0,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=\/wp\/v2\/posts\/601\/revisions"}],"wp:attachment":[{"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=601"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=601"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/itantan.eu.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=601"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}