{"id":27899,"date":"2024-08-15T19:51:16","date_gmt":"2024-08-15T19:51:16","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=27899"},"modified":"2024-08-15T19:51:16","modified_gmt":"2024-08-15T19:51:16","slug":"%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e9%97%ae%e9%a2%98%ef%bc%9a%e6%9c%89%e9%99%90%e6%9e%81%e9%99%90","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/zh\/%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e9%97%ae%e9%a2%98%ef%bc%9a%e6%9c%89%e9%99%90%e6%9e%81%e9%99%90\/","title":{"rendered":"\u5df2\u89e3\u51b3\u7684\u95ee\u9898\uff1a\u6709\u9650\u6781\u9650"},"content":{"rendered":"<p><center><\/p>\n<h1>\u5df2\u89e3\u51b3\u7684\u95ee\u9898\uff1a\u6709\u9650\u6781\u9650<\/h1>\n<p><em><strong>\u6458\u8981:<\/strong><br \/>\n\u672c\u8bfe\u7a0b\u63d0\u4f9b\u4e86\u5173\u4e8e\u6709\u9650\u6781\u9650\u8ba1\u7b97\u7684\u5df2\u89e3\u51b3\u95ee\u9898\uff0c\u5e76\u9644\u6709\u89c6\u9891\u6559\u7a0b\u3002\u5b66\u751f\u5c06\u5728\u6307\u5bfc\u4e0b\u89e3\u51b3\u95ee\u9898\uff0c\u5e76\u5c06\u5176\u7ed3\u679c\u4e0e\u63d0\u4f9b\u7684\u89e3\u51b3\u65b9\u6848\u8fdb\u884c\u6bd4\u8f83\u3002\u8bfe\u7a0b\u5f3a\u8c03\u4e86\u6709\u7406\u5316\u548c\u56fe\u8868\u4f7f\u7528\u7b49\u5173\u952e\u6280\u672f\uff0c\u9f13\u52b1\u91c7\u7528\u4e0d\u540c\u7684\u65b9\u6cd5\u6765\u5f97\u51fa\u6b63\u786e\u7684\u7b54\u6848\u3002<\/em><\/p>\n<p><strong>\u5b66\u4e60\u76ee\u6807<\/strong><br \/>\n\u5b8c\u6210\u672c\u8bfe\u7a0b\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a<\/p>\n<ul style=\"text-align:left;\">\n<li><strong>\u8ba1\u7b97<\/strong> \u591a\u9879\u5f0f\u548c\u6709\u7406\u51fd\u6570\u7684\u6709\u9650\u6781\u9650\u3002<\/li>\n<li><strong>\u4f7f\u7528<\/strong> \u6709\u7406\u5316\u6280\u672f\u7b80\u5316\u6781\u9650\u8ba1\u7b97\u3002<\/li>\n<li><strong>\u6bd4\u8f83<\/strong> \u4e0d\u540c\u7684\u89e3\u51b3\u65b9\u6cd5\uff0c\u5e76\u8ba4\u8bc6\u5230\u901a\u5411\u6b63\u786e\u89e3\u7b54\u7684\u591a\u79cd\u9014\u5f84\u3002<\/li>\n<\/ul>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/VY1gr1EUq3o\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><br \/>\n<\/center><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u8fd9\u4e9b\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u5c06\u5e2e\u52a9\u4f60\u638c\u63e1\u6709\u9650\u6781\u9650\u7684\u8ba1\u7b97\u3002\u89e3\u51b3\u65b9\u6848\u5728\u89c6\u9891\u4e2d\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u4e3a\u4e86\u63d0\u5347\u5b66\u4e60\u4f53\u9a8c\uff0c\u6211\u521b\u5efa\u4e86\u8fd9\u4e2a\u5305\u542b\u6709\u9650\u6781\u9650\u8ba1\u7b97\u7684\u5df2\u89e3\u51b3\u7ec3\u4e60\u7684\u89c6\u9891\uff0c\u5c55\u793a\u4e86\u4ece\u4e2d\u53ef\u4ee5\u63a8\u5bfc\u51fa\u7684\u6240\u6709\u7279\u6027\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u5c1d\u8bd5\u81ea\u5df1\u89e3\u51b3\u8fd9\u4e9b\u7ec3\u4e60\uff0c\u7136\u540e\u6bd4\u8f83\u4f60\u7684\u7ed3\u679c\u3002<br \/>\n\u5728\u6bcf\u4e2a\u7ec3\u4e60\u65c1\u8fb9\uff0c\u4f60\u4f1a\u627e\u5230\u4e00\u4e2a\u94fe\u63a5\uff0c\u6307\u5411YouTube\u89c6\u9891\u4e2d\u6267\u884c\u6240\u6709\u8ba1\u7b97\u76f4\u5230\u5f97\u51fa\u89e3\u51b3\u65b9\u6848\u7684\u90e8\u5206\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u6709\u65f6\u4f60\u9700\u8981\u8fdb\u884c\u6709\u7406\u5316\uff0c\u800c\u5176\u4ed6\u65f6\u5019\u4f60\u9700\u8981\u4f9d\u9760\u6781\u9650\u7684\u5b9a\u4e49\u6765\u8bc1\u660e\u7b54\u6848\u3002\u6709\u65f6\u751a\u81f3\u4e00\u5f20\u56fe\u8868\u53ef\u4ee5\u5728\u51b3\u5b9a\u91c7\u53d6\u54ea\u6761\u63a8\u7406\u8def\u5f84\u65f6\u8282\u7701\u5927\u91cf\u5de5\u4f5c\u3002<\/p>\n<h3>\u4e00\u3001\u8ba1\u7b97\u4ee5\u4e0b\u6709\u9650\u6781\u9650\uff1a<\/h3>\n<ol style=\"text-align: justify; color: #000000;\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to -1} (x^3+2x^2 - 3x - 4) <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=35s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">[\u89e3\u51b3\u65b9\u6848]<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 0} \\dfrac{3^x - 3^{-x}}{3^x + 3^{-x}} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=64s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">[\u89e3\u51b3\u65b9\u6848]<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 2} \\dfrac{x-1}{x^2-1} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=91s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">[\u89e3\u51b3\u65b9\u6848]<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 2} \\dfrac{x^2-4}{x^2-5x+6} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=161s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">[\u89e3\u51b3\u65b9\u6848]<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to -1} \\dfrac{x^2+3x+2}{x^2+4x+3} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=351s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">[\u89e3\u51b3\u65b9\u6848]<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 2} \\dfrac{x-2}{\\sqrt{x^2-4}} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=594s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">[\u89e3\u51b3\u65b9\u6848]<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\lim_{x\\to 2} \\dfrac{\\sqrt{x-2}}{x^2-4} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=887s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">[\u89e3\u51b3\u65b9\u6848]<\/span><\/strong><\/a><\/li>\n<\/ol>\n<h3>\u4e8c\u3001\u6c42<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{h\\to 0} \\frac{f(x+h)-f(x)}{h}<\/span><\/span>\u5bf9\u4e8e\u4ee5\u4e0b\u51fd\u6570\uff1a<\/h3>\n<ol style=\"text-align: justify; color: #000000;\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle f(x) = \\dfrac{1}{x-2} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=1088s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">[\u89e3\u51b3\u65b9\u6848]<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle f(x) = \\sqrt{x-4} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=1263s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">[\u89e3\u51b3\u65b9\u6848]<\/span><\/strong><\/a><\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle f(x) = \\dfrac{x}{x+1} <\/span><\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=VY1gr1EUq3o&amp;t=1366s\" rel=\"noopener\" target=\"_blank\"><strong><span style=\"color: #d00000;\">[\u89e3\u51b3\u65b9\u6848]<\/span><\/strong><\/a><\/li>\n<\/ol>\n<p style=\"text-align: justify; color: #000000;\">\u4f60\u81ea\u5df1\u89e3\u51b3\u4e86\u6240\u6709\u95ee\u9898\u5417\uff1f<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u4f60\u7684\u89e3\u6cd5\u548c\u6211\u7684\u6709\u591a\u5927\u4e0d\u540c\uff1f<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u8bb0\u4f4f\uff0c\u89e3\u51b3\u95ee\u9898\u7684\u9014\u5f84\u4e0d\u4e00\u5b9a\u662f\u552f\u4e00\u7684\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5df2\u89e3\u51b3\u7684\u95ee\u9898\uff1a\u6709\u9650\u6781\u9650 \u6458\u8981: \u672c\u8bfe\u7a0b\u63d0\u4f9b\u4e86\u5173\u4e8e\u6709\u9650\u6781\u9650\u8ba1\u7b97\u7684\u5df2\u89e3\u51b3\u95ee\u9898\uff0c\u5e76\u9644\u6709\u89c6\u9891\u6559\u7a0b\u3002\u5b66\u751f\u5c06\u5728\u6307\u5bfc\u4e0b\u89e3\u51b3\u95ee\u9898\uff0c\u5e76\u5c06\u5176\u7ed3\u679c\u4e0e\u63d0\u4f9b\u7684\u89e3\u51b3\u65b9\u6848\u8fdb\u884c\u6bd4\u8f83\u3002\u8bfe\u7a0b\u5f3a\u8c03\u4e86\u6709\u7406\u5316\u548c\u56fe\u8868\u4f7f\u7528\u7b49\u5173\u952e\u6280\u672f\uff0c\u9f13\u52b1\u91c7\u7528\u4e0d\u540c\u7684\u65b9\u6cd5\u6765\u5f97\u51fa\u6b63\u786e\u7684\u7b54\u6848\u3002 \u5b66\u4e60\u76ee\u6807 \u5b8c\u6210\u672c\u8bfe\u7a0b\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a \u8ba1\u7b97 \u591a\u9879\u5f0f\u548c\u6709\u7406\u51fd\u6570\u7684\u6709\u9650\u6781\u9650\u3002 \u4f7f\u7528 \u6709\u7406\u5316\u6280\u672f\u7b80\u5316\u6781\u9650\u8ba1\u7b97\u3002 \u6bd4\u8f83 \u4e0d\u540c\u7684\u89e3\u51b3\u65b9\u6cd5\uff0c\u5e76\u8ba4\u8bc6\u5230\u901a\u5411\u6b63\u786e\u89e3\u7b54\u7684\u591a\u79cd\u9014\u5f84\u3002 \u8fd9\u4e9b\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u5c06\u5e2e\u52a9\u4f60\u638c\u63e1\u6709\u9650\u6781\u9650\u7684\u8ba1\u7b97\u3002\u89e3\u51b3\u65b9\u6848\u5728\u89c6\u9891\u4e2d\u3002 \u4e3a\u4e86\u63d0\u5347\u5b66\u4e60\u4f53\u9a8c\uff0c\u6211\u521b\u5efa\u4e86\u8fd9\u4e2a\u5305\u542b\u6709\u9650\u6781\u9650\u8ba1\u7b97\u7684\u5df2\u89e3\u51b3\u7ec3\u4e60\u7684\u89c6\u9891\uff0c\u5c55\u793a\u4e86\u4ece\u4e2d\u53ef\u4ee5\u63a8\u5bfc\u51fa\u7684\u6240\u6709\u7279\u6027\u3002 \u5c1d\u8bd5\u81ea\u5df1\u89e3\u51b3\u8fd9\u4e9b\u7ec3\u4e60\uff0c\u7136\u540e\u6bd4\u8f83\u4f60\u7684\u7ed3\u679c\u3002 \u5728\u6bcf\u4e2a\u7ec3\u4e60\u65c1\u8fb9\uff0c\u4f60\u4f1a\u627e\u5230\u4e00\u4e2a\u94fe\u63a5\uff0c\u6307\u5411YouTube\u89c6\u9891\u4e2d\u6267\u884c\u6240\u6709\u8ba1\u7b97\u76f4\u5230\u5f97\u51fa\u89e3\u51b3\u65b9\u6848\u7684\u90e8\u5206\u3002 \u6709\u65f6\u4f60\u9700\u8981\u8fdb\u884c\u6709\u7406\u5316\uff0c\u800c\u5176\u4ed6\u65f6\u5019\u4f60\u9700\u8981\u4f9d\u9760\u6781\u9650\u7684\u5b9a\u4e49\u6765\u8bc1\u660e\u7b54\u6848\u3002\u6709\u65f6\u751a\u81f3\u4e00\u5f20\u56fe\u8868\u53ef\u4ee5\u5728\u51b3\u5b9a\u91c7\u53d6\u54ea\u6761\u63a8\u7406\u8def\u5f84\u65f6\u8282\u7701\u5927\u91cf\u5de5\u4f5c\u3002 \u4e00\u3001\u8ba1\u7b97\u4ee5\u4e0b\u6709\u9650\u6781\u9650\uff1a [\u89e3\u51b3\u65b9\u6848] [\u89e3\u51b3\u65b9\u6848] [\u89e3\u51b3\u65b9\u6848] [\u89e3\u51b3\u65b9\u6848] [\u89e3\u51b3\u65b9\u6848] [\u89e3\u51b3\u65b9\u6848] [\u89e3\u51b3\u65b9\u6848] \u4e8c\u3001\u6c42\u5bf9\u4e8e\u4ee5\u4e0b\u51fd\u6570\uff1a [\u89e3\u51b3\u65b9\u6848] [\u89e3\u51b3\u65b9\u6848] [\u89e3\u51b3\u65b9\u6848] \u4f60\u81ea\u5df1\u89e3\u51b3\u4e86\u6240\u6709\u95ee\u9898\u5417\uff1f \u4f60\u7684\u89e3\u6cd5\u548c\u6211\u7684\u6709\u591a\u5927\u4e0d\u540c\uff1f \u8bb0\u4f4f\uff0c\u89e3\u51b3\u95ee\u9898\u7684\u9014\u5f84\u4e0d\u4e00\u5b9a\u662f\u552f\u4e00\u7684\u3002<\/p>\n","protected":false},"author":1,"featured_media":27893,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":9,"footnotes":""},"categories":[858,575],"tags":[],"class_list":["post-27899","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-858","category-575"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u5df2\u89e3\u51b3\u7684\u95ee\u9898\uff1a\u6709\u9650\u6781\u9650 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u901a\u8fc7\u672c\u8bfe\u7a0b\u638c\u63e1\u6709\u9650\u6781\u9650\u7684\u8ba1\u7b97\uff0c\u8bfe\u7a0b\u5305\u62ec\u5df2\u89e3\u51b3\u7684\u95ee\u9898\u3002\u5b66\u4e60\u5173\u952e\u6280\u672f\u5982\u6709\u7406\u5316\" \/>\n<meta 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