{"id":368,"date":"2023-07-04T01:01:00","date_gmt":"2023-07-04T01:01:00","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%b0%b4%e5%b9%b3%e6%b8%90%e8%bf%91%e7%ba%bf\/"},"modified":"2023-07-04T01:01:00","modified_gmt":"2023-07-04T01:01:00","slug":"%e6%b0%b4%e5%b9%b3%e6%b8%90%e8%bf%91%e7%ba%bf","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%b0%b4%e5%b9%b3%e6%b8%90%e8%bf%91%e7%ba%bf\/","title":{"rendered":"\u6c34\u5e73\u6e10\u8fd1\u7ebf"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\u4ee5\u53ca\u5b83\u4eec\u7684\u8ba1\u7b97\u65b9\u6cd5\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u627e\u5230\u6b64\u7c7b\u6e10\u8fd1\u7ebf\u7684\u51e0\u4e2a\u793a\u4f8b\uff0c\u4ee5\u5145\u5206\u7406\u89e3\u8be5\u6982\u5ff5\uff0c\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u901a\u8fc7\u5df2\u89e3\u51b3\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\u7ec3\u4e60\u8fdb\u884c\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-asintota-horizontal\"><\/span>\u4ec0\u4e48\u662f\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\u662f\u4e00\u6761\u6c34\u5e73\u7ebf\uff0c\u5176\u56fe\u5f62\u65e0\u9650\u63a5\u8fd1\u8be5\u6c34\u5e73\u7ebf\u800c\u4e0d\u4f1a\u4e0e\u4e4b\u76f8\u4ea4\u3002<\/strong>\u56e0\u6b64\uff0c\u6c34\u5e73\u6e10\u8fd1\u7ebf\u7684\u65b9\u7a0b\u4e3a<em>y=k<\/em> \uff0c\u5176\u4e2d<em>k<\/em>\u662f\u6c34\u5e73\u6e10\u8fd1\u7ebf\u7684\u503c\u3002<\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4\uff0c<strong>\u5982\u679c<em>x<\/em>\u63a5\u8fd1\u65e0\u7a77\u5927\u65f6\u51fd\u6570\u7684\u6781\u9650\u7b49\u4e8e<em>k<\/em> \uff0c\u5219<em>k<\/em>\u662f\u6c34\u5e73\u6e10\u8fd1\u7ebf\u3002<\/strong> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/asymptote-horizontale-dune-fonction.webp\" alt=\"\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\" class=\"wp-image-1350\" width=\"401\" height=\"269\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4e0a\u9762\u7684\u51fd\u6570\u5728\u56fe\u5f62\u7684\u4e24\u4fa7\u90fd\u6709\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff0c\u4f46\u51fd\u6570\u53ea\u80fd\u5728\u4e00\u4fa7\u6709\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u81f3\u5c11\u65e0\u7a77\u5927\u7684\u6781\u9650\u7ed9\u51fa\u5b9e\u6570\uff0c\u5219\u8be5\u51fd\u6570\u5177\u6709<strong>\u5de6\u6c34\u5e73\u6e10\u8fd1\u7ebf<\/strong>\u3002<\/li>\n<li>\u5982\u679c\u6b63\u65e0\u7a77\u5927\u7684\u6781\u9650\u7ed9\u51fa\u5b9e\u6570\uff0c\u5219\u8be5\u51fd\u6570<strong>\u5728\u53f3\u4fa7\u6709\u4e00\u6761\u6c34\u5e73\u6e10\u8fd1\u7ebf<\/strong>\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-111\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/asymptote-horizontale-dune-fonction-a-partir-de-la-gauche.webp\" alt=\"\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\u4ece\u5de6\u4fa7\u5f00\u59cb\" class=\"wp-image-1352\" width=\"227\" height=\"239\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/asymptote-horizontale-vers-la-droite.webp\" alt=\"\u6c34\u5e73\u6e10\u8fd1\u7ebf\u5411\u53f3\" class=\"wp-image-1328\" width=\"268\" height=\"239\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-asintota-horizontal-de-una-funcion\"><\/span>\u5982\u4f55\u8ba1\u7b97\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8981\u8ba1\u7b97\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff0c\u5fc5\u987b\u9075\u5faa\u4ee5\u4e0b\u6b65\u9aa4\uff1a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;border:\">\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u8ba1\u7b97\u51fd\u6570\u7684\u65e0\u7a77\u5927\u6781\u9650\uff08+\u221e \u548c -\u221e\uff09\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u65e0\u7a77\u5927\u7684\u6781\u9650\u7ed9\u51fa\u5b9e\u6570 (k)\uff0c\u5219\u76f4\u7ebf y=k \u662f\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u4e24\u4e2a\u6781\u9650\u90fd\u4e0d\u5bf9\u5e94\u4e8e\u5b9e\u6570\uff0c\u5219\u8be5\u51fd\u6570\u6ca1\u6709\u6c34\u5e73\u6e10\u8fd1\u7ebf\u3002<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-asintota-horizontal\"><\/span>\u6c34\u5e73\u6e10\u8fd1\u7ebf\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u56e0\u6b64\uff0c\u60a8\u53ef\u4ee5\u770b\u5230\u5982\u4f55\u5b8c\u6210\u6b64\u64cd\u4f5c\u7684\u793a\u4f8b\uff0c\u6211\u4eec\u5c06\u4ece\u4ee5\u4e0b\u6709\u7406\u51fd\u6570\u4e2d\u5220\u9664\u6240\u6709\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6b695ac0a1f175a1522a0c606da9458_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x+1}{x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"101\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u8981\u786e\u5b9a\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff0c\u9700\u8981\u8ba1\u7b97\u51fd\u6570\u5728\u8d1f\u65e0\u7a77\u5927\u548c\u6b63\u65e0\u7a77\u5927\u5904\u7684\u6781\u9650\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c437f7aa8aec16519f5ff4bfd2666a32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{x+1}{x-1} = \\cfrac{+\\infty}{+\\infty}= \\cfrac{1}{1} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"223\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a04dd749f028409b7c952eb01d5adde_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{x+1}{x-1} = \\cfrac{-\\infty}{-\\infty}= \\cfrac{1}{1} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"223\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u65e0\u9650-%e2%88%9e-%e2%88%9e-\u4e4b\u95f4\u7684\u4e0d\u786e\u5b9a\u6027\/\">\u5982\u4f55\u89e3\u51b3\u65e0\u7a77\u5927\u4e0e\u65e0\u7a77\u5927\u4e4b\u95f4\u7684\u65e0\u7a77\u4e0d\u5b9a\u6027<\/a><\/span><\/p>\n<p>\u65e0\u7a77\u8fdc\u5904\u7684\u4e24\u4e2a\u6781\u9650\u4e3a 1\uff0c\u56e0\u6b64<strong>y=1 \u662f\u8be5\u51fd\u6570\u7684\u552f\u4e00\u6c34\u5e73\u6e10\u8fd1\u7ebf\u3002<\/strong><\/p>\n<p>\u4e0b\u9762\u662f\u4ee5\u56fe\u5f62\u65b9\u5f0f\u8868\u793a\u7684\u51fd\u6570\u3002\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u8be5\u51fd\u6570\u975e\u5e38\u63a5\u8fd1 y=1\uff08\u5728\u6b63\u65e0\u7a77\u5927\u548c\u8d1f\u65e0\u7a77\u5927\u5904\uff09\uff0c\u4f46\u5b83\u4ece\u672a\u89e6\u53ca\u5b83\uff0c\u56e0\u4e3a\u5b83\u662f\u6c34\u5e73\u6e10\u8fd1\u7ebf\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-dasymptote-horizontale.webp\" alt=\"\u6c34\u5e73\u6e10\u8fd1\u7ebf\u793a\u4f8b\" class=\"wp-image-1333\" width=\"525\" height=\"414\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p><strong>\u6ce8\u610f\uff1a<\/strong>\u5728\u67d0\u4e9b\u7279\u6b8a\u60c5\u51b5\u4e0b\uff0c\u51fd\u6570\u4f1a\u5728\u4e00\u4e2a\u6216\u591a\u4e2a\u70b9\u4e0e\u6c34\u5e73\u6e10\u8fd1\u7ebf\u76f8\u4ea4\uff0c\u4f46\u4e00\u822c\u6765\u8bf4\uff0c\u51fd\u6570\u7684\u56fe\u5f62\u6c38\u8fdc\u4e0d\u4f1a\u4e0e\u5176\u6e10\u8fd1\u7ebf\u76f8\u4ea4\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u8be5\u51fd\u6570\u5728 x=1 \u5904\u4e5f\u6709\u5782\u76f4\u6e10\u8fd1\u7ebf\u3002\u56e0\u4e3a\uff0c\u6b63\u5982\u60a8\u4ece\u56fe\u4e2d\u770b\u5230\u7684\u90a3\u6837\uff0c\u5b83\u975e\u5e38\u63a5\u8fd1 x=1 \u7ebf\uff0c\u4f46\u4ece\u672a\u8fbe\u5230\u8be5\u503c\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-asintotas-horizontales\"><\/span>\u89e3\u51b3\u4e86\u6c34\u5e73\u6e10\u8fd1\u7ebf\u7684\u95ee\u9898<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u6c42\u4ee5\u4e0b\u5206\u6570\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff08\u5982\u679c\u6709\uff09\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-717c0b45bca578809a5e633a960e72c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\frac{4x+3}{2x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u4e3a\u4e86\u786e\u5b9a\u6709\u7406\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff0c\u9700\u8981\u8ba1\u7b97\u51fd\u6570\u65e0\u7a77\u8fdc\u5904\u7684\u6781\u9650\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-27d982077c31fd0cd8f75cab15b6aafc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\frac{4x+3}{2x-1} = \\frac{4(+\\infty)}{2(+\\infty)} = \\frac{+\\infty}{+\\infty} = \\frac{4}{2} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"311\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-137e1fdfcb79e76bfaaae3f42466a16e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\frac{4x+3}{2x-1} = \\frac{4(-\\infty)}{2(-\\infty)} = \\frac{-\\infty}{-\\infty} = \\frac{4}{2} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"311\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e0d\u5b9a\u5f62\u5f0f \u221e\/\u221e \u7684\u7ed3\u679c\u662f\u6700\u9ad8\u6b21 x \u7684\u7cfb\u6570\u76f8\u9664\uff0c\u56e0\u4e3a\u5206\u5b50\u548c\u5206\u6bcd\u5177\u6709\u76f8\u540c\u7684\u9636\u6570\u3002<\/p>\n<p class=\"has-text-align-left\">\u51fd\u6570\u7684\u6b63\u65e0\u7a77\u5927\u548c\u8d1f\u65e0\u7a77\u5927\u5904\u7684\u6781\u9650\u4e3a 2\uff0c\u56e0\u6b64<strong>y=2 \u662f\u6c34\u5e73\u6e10\u8fd1\u7ebf<\/strong>\uff0c\u5e76\u4e14\u662f\u8be5\u51fd\u6570\u5177\u6709\u7684\u552f\u4e00\u6e10\u8fd1\u7ebf\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u6c42\u4ee5\u4e0b\u6709\u6839\u6709\u7406\u51fd\u6570\u7684\u6240\u6709\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c605d3e2ddf02895534060c0d965daaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\frac{3x}{\\sqrt{x^2+2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"124\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u4e3a\u4e86\u627e\u5230\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff0c\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u6b63\u65e0\u7a77\u5927\u7684\u6781\u9650\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36b52bec09032cfd322340c6f979d5f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{3x}{\\sqrt{x^2+2}}= \\frac{+\\infty}{+\\infty} = \\frac{3}{\\sqrt{1}} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"259\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7136\u540e\u6211\u4eec\u6c42\u89e3\u51fd\u6570\u7684\u8d1f\u65e0\u7a77\u6781\u9650\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb11630356a1314b3785cc90980b419b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty}\\frac{3x}{\\sqrt{x^2+2}}= \\frac{-\\infty}{+\\infty} = \\frac{-3}{\\sqrt{1}} = \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"273\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <u style=\"text-decoration-color:#FF9B28;\">\u27a4 \u5982\u679c\u60a8\u5bf9\u5982\u4f55\u89e3\u51b3\u65e0\u7a77\u5927\u7684\u6781\u9650\u6709\u4efb\u4f55\u7591\u95ee\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u67e5\u770b\u4e0a\u9762\u7684\u94fe\u63a5\uff0c\u4e86\u89e3<em>\u5982\u4f55\u89e3\u51b3\u65e0\u7a77\u5927\u4e4b\u95f4\u7684\u65e0\u9650\u4e0d\u786e\u5b9a\u6027\u3002<\/em><\/u><\/p>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u83b7\u5f97\u4e86\u4e24\u4e2a\u4e0d\u540c\u7684\u65e0\u7a77\u8fdc\u6781\u9650\u503c\u3002\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u6709\u4e24\u4e2a\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff1ay=3 \u662f\u53f3\u4fa7\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff0c\u53e6\u4e00\u65b9\u9762\uff0cy=-3 \u662f\u5de6\u4fa7\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b\u5206\u6bb5\u5b9a\u4e49\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa168db8e7d068a6d331e40401a90da6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\left\\{ \\begin{array}{lcl}\\displaystyle\\frac{3x-1}{x^2}&amp; \\text{si} &amp; x<4\\\\[4ex]\\displaystyle\\frac{x^3-2x+5}{2x^3-9} &amp; \\text{si} &amp; x\\geq 4 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"262\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u8ba1\u7b97\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff0c\u6ca1\u6709\u516c\u5f0f\uff0c\u4f46\u5fc5\u987b\u8ba1\u7b97\u6b63\u8d1f\u65e0\u7a77\u5927\u7684\u6781\u9650\u3002<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4e3a\u4e86\u627e\u5230\u81f3\u5c11\u65e0\u9650\u7684\u6781\u9650\uff0c\u6211\u4eec\u91c7\u7528\u7b2c\u4e00\u90e8\u5206\u4e2d\u5b9a\u4e49\u7684\u51fd\u6570\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50c7440eb78bb31e6b0e2b4663d892bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty}\\frac{3x-1}{x^2}= \\frac{-\\infty}{+\\infty}=\\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"194\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u7ebf y=0 \u662f\u51fd\u6570\u5de6\u4fa7\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\u3002<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u901a\u8fc7\u4f7f\u7528\u7b2c\u4e8c\u90e8\u5206\u4e2d\u5b9a\u4e49\u7684\u51fd\u6570\u6765\u8ba1\u7b97\u6b63\u65e0\u7a77\u5927\u7684\u6781\u9650\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ba01137442f320e04e824b4963a3383b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{x^3-2x+5}{2x^3-9}= \\frac{+\\infty}{+\\infty}=\\mathbf{\\frac{1}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"237\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u7ebf y=1\/2 \u662f\u51fd\u6570\u53f3\u4fa7\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\u4ee5\u53ca\u5b83\u4eec\u7684\u8ba1\u7b97\u65b9\u6cd5\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u627e\u5230\u6b64\u7c7b\u6e10\u8fd1\u7ebf\u7684\u51e0\u4e2a\u793a\u4f8b\uff0c\u4ee5\u5145\u5206\u7406\u89e3\u8be5\u6982 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%b0%b4%e5%b9%b3%e6%b8%90%e8%bf%91%e7%ba%bf\/\"> <span class=\"screen-reader-text\">\u6c34\u5e73\u6e10\u8fd1\u7ebf<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[11],"tags":[],"class_list":["post-368","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized 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