{"id":13,"date":"2014-10-04T11:13:55","date_gmt":"2014-10-04T11:13:55","guid":{"rendered":"http:\/\/jdcui.com\/?p=13"},"modified":"2018-10-20T11:10:38","modified_gmt":"2018-10-20T03:10:38","slug":"3d-mathematical-surface","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=13","title":{"rendered":"\u6709\u8da3\u7684\u6570\u5b663D\u66f2\u9762"},"content":{"rendered":"<hr \/>\n<p style=\"text-align: left; padding-left: 30px;\">\u6570\u5b66\u662f\u4e2a\u5f88\u597d\u73a9\u7684\u4e1c\u897f\u3002\u9ad8\u7b49\u6570\u5b66\u4e2d\uff0c\u6211\u4eec\u5b66\u8fc7\u5f88\u591a\u4e8c\u6b21\u66f2\u9762\uff0c\u5b83\u4eec\u90fd\u6709\u5f88\u6f02\u4eae\u76843D\u6548\u679c\uff0c\u5982\u4e0b\u56fe\uff1a<\/p>\n<p style=\"text-align: left; padding-left: 30px;\">1.\u692d\u5706\u9525\u9762 \uff08\u516c\u5f0f\uff1az^2=(x^2)\/(a^2)+(y^2)\/(b^2)\uff09<\/p>\n<figure id=\"attachment_110\" aria-describedby=\"caption-attachment-110\" style=\"width: 490px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-110\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2014\/10\/\u692d\u5706\u9762.jpg\" alt=\"Elliptic Cone [\u692d\u5706\u9525\u9762] \" width=\"490\" height=\"396\" \/><figcaption id=\"caption-attachment-110\" class=\"wp-caption-text\">Elliptic Cone [\u692d\u5706\u9525\u9762]<\/figcaption><\/figure>\n<p style=\"text-align: left; padding-left: 30px;\">2.\u53cc\u66f2\u629b\u7269\u9762\uff08\u4f20\u8bf4\u4e2d\u7684\u9a6c\u978d\u9762\uff09\u771f\u7684\u5f88\u50cf\u9a6c\u978d\uff0c\u54c8\u54c8\u3002\uff08\u516c\u5f0f\uff1az=(x^2)\/(a^2)-(y^2)\/(b^2)\uff09<\/p>\n<figure id=\"attachment_107\" aria-describedby=\"caption-attachment-107\" style=\"width: 490px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-107\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2014\/10\/\u53cc\u66f2\u629b\u7269\u9762.jpg\" alt=\"Hyperbolicp Paraboloid [\u53cc\u66f2\u629b\u7269\u9762]\" width=\"490\" height=\"396\" \/><figcaption id=\"caption-attachment-107\" class=\"wp-caption-text\">Hyperbolicp Paraboloid [\u53cc\u66f2\u629b\u7269\u9762]<\/figcaption><\/figure>\n<p style=\"text-align: left; padding-left: 30px;\">3.\u692d\u5706\u629b\u7269\u9762 \uff08\u516c\u5f0f\uff1az=(x^2)\/(a^2)+(y^2)\/(b^2)\uff09<\/p>\n<figure id=\"attachment_111\" aria-describedby=\"caption-attachment-111\" style=\"width: 490px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2014\/10\/\u692d\u5706\u629b\u7269\u9762.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-111\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2014\/10\/\u692d\u5706\u629b\u7269\u9762.jpg\" alt=\"Paraboloid [\u692d\u5706\u629b\u7269\u9762]\" width=\"490\" height=\"396\" \/><\/a><figcaption id=\"caption-attachment-111\" class=\"wp-caption-text\">Paraboloid [\u692d\u5706\u629b\u7269\u9762]<\/figcaption><\/figure>\n<p style=\"text-align: left; padding-left: 30px;\">4.\u692d\u7403\u9762\uff0c\u6709\u70b9\u50cf\u5916\u661f\u5de8\u86cb\uff0c\u53ef\u7231\uff0c\u54c8\u54c8\u3002\uff08\u516c\u5f0f\uff1a(x^2)\/(a^2)+(y^2)\/(b^2)+(z^2)\/(c^2)=1\uff09<\/p>\n<figure id=\"attachment_109\" aria-describedby=\"caption-attachment-109\" style=\"width: 490px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-109\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2014\/10\/\u692d\u7403\u9762.jpg\" alt=\"Ellipsoid [\u692d\u7403\u9762]\" width=\"490\" height=\"396\" \/><figcaption id=\"caption-attachment-109\" class=\"wp-caption-text\">Ellipsoid [\u692d\u7403\u9762]<\/figcaption><\/figure>\n<p style=\"text-align: left; padding-left: 30px;\">5.\u5355\u53f6\u53cc\u66f2\u9762 \uff08\u516c\u5f0f\uff1a(x^2)\/(a^2)+(y^2)\/(b^2)-(z^2)\/(c^2)=1\uff09<\/p>\n<figure id=\"attachment_106\" aria-describedby=\"caption-attachment-106\" style=\"width: 490px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-106\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2014\/10\/\u5355\u53f6\u53cc\u66f2\u9762.jpg\" alt=\"Uniparted Hyperboloid [\u5355\u53f6\u53cc\u66f2\u9762]\" width=\"490\" height=\"396\" \/><figcaption id=\"caption-attachment-106\" class=\"wp-caption-text\">Uniparted Hyperboloid [\u5355\u53f6\u53cc\u66f2\u9762]<\/figcaption><\/figure>\n<p style=\"text-align: left; padding-left: 30px;\">6.\u53cc\u53f6\u53cc\u66f2\u9762 \uff08\u516c\u5f0f\uff1a(x^2)\/(a^2)-(y^2)\/(b^2)-(z^2)\/(c^2)=1\uff09<\/p>\n<figure id=\"attachment_108\" aria-describedby=\"caption-attachment-108\" style=\"width: 490px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-108\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2014\/10\/\u53cc\u53f6\u53cc\u66f2\u9762.jpg\" alt=\"Hyperboloids of two sheets [\u53cc\u53f6\u53cc\u66f2\u9762]\" width=\"490\" height=\"396\" \/><figcaption id=\"caption-attachment-108\" class=\"wp-caption-text\">Hyperboloids of two sheets [\u53cc\u53f6\u53cc\u66f2\u9762]<\/figcaption><\/figure>\n<p style=\"text-align: left; padding-left: 30px;\">7.\u8fd9\u4e2a\u4e0d\u77e5\u9053\u600e\u4e48\u79f0\u547c\uff0c\u4f46\u662f\u7ecf\u5e38\u89c1\u5230 \uff08\u516c\u5f0f\uff1a(z^2)*sqrt(x^2+y^2)=a*sin(sqrt(x^2+y^2))^2\uff09<\/p>\n<p style=\"text-align: left; padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-104\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2014\/10\/\u5e38\u89c1\u602a\u9762.jpg\" alt=\"\" width=\"490\" height=\"396\" \/><\/p>\n<p style=\"text-align: left; padding-left: 30px;\">8.\u4e0d\u77e5\u9053\u53eb\u4ec0\u4e48\u540d\u79f0\uff0c\u7f51\u4e0a\u627e\u7684\u3002\uff08\u516c\u5f0f\uff1az=a*((Sin(x^2) + Sin(y^2))\/Exp(x^2 + y^2)\uff09<\/p>\n<p style=\"text-align: left; padding-left: 30px;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-105\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2014\/10\/\u5e38\u89c1\u602a\u97622.jpg\" alt=\"\u5e38\u89c1\u602a\u97622\" width=\"490\" height=\"396\" \/><\/p>\n<p style=\"text-align: left; padding-left: 30px;\">9.\u51fd\u6570\u7c7b\u4f3cmatlab\u4e2d\u7684peak\u51fd\u6570\uff0c\u521d\u5b66matlab\u7684\u7ed8\u56fe\u4e00\u822c\u90fd\u8bb2\u8fd9\u4e2a\u51fd\u6570 \uff08\u516c\u5f0f\uff1az=a*x*exp(-(x^2+y^2))\uff09<\/p>\n<figure id=\"attachment_102\" aria-describedby=\"caption-attachment-102\" style=\"width: 490px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-102\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2014\/10\/Peak.jpg\" alt=\"Peak Surface\" width=\"490\" height=\"396\" \/><figcaption id=\"caption-attachment-102\" class=\"wp-caption-text\">Peak Surface<\/figcaption><\/figure>\n<p style=\"text-align: left; padding-left: 30px;\">10.\u7531sin(x)\u548ccos(y)\u7ec4\u6210\u7684\u51fd\u6570\uff0c\u6211\u60f3\u8bf4\u5f88\u50cf\u7ae0\u9c7c\u5c0f\u4e38\u5b50\u3002\u54c8\u54c8\u3002 \uff08\u516c\u5f0f\uff1az=a*cos(x\/b)*sin(y\/c)\uff09<\/p>\n<figure id=\"attachment_103\" aria-describedby=\"caption-attachment-103\" style=\"width: 490px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-103\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2014\/10\/\u6ce2\u6d6a\u5c0f\u4e38\u5b50.jpg\" alt=\"Wave Surface [\u6ce2\u6d6a\u9762]\" width=\"490\" height=\"396\" \/><figcaption id=\"caption-attachment-103\" class=\"wp-caption-text\">Wave Surface [\u6ce2\u6d6a\u9762]<\/figcaption><\/figure>\n<p style=\"text-align: left; padding-left: 30px;\">\u5c0f\u7ed3\uff1a<\/p>\n<p style=\"text-align: left; padding-left: 60px;\">1.\u6570\u5b66\u5f88\u7f8e\u3002<\/p>\n<p style=\"text-align: left; padding-left: 60px;\">2.\u4e0a\u9762\u7684\u66f2\u9762\u53ef\u4ee5\u5f88\u7b80\u5355\u7684\u5728MATLAB\u4e2d\u5b9e\u73b0\uff0c\u5982\u679c\u4f60\u559c\u6b22\uff0c\u4e0d\u59a8\u53bb\u8bd5\u4e00\u8bd5\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6570\u5b66\u662f\u4e2a\u5f88\u597d\u73a9\u7684\u4e1c\u897f\u3002\u9ad8\u7b49\u6570\u5b66\u4e2d\uff0c\u6211\u4eec\u5b66\u8fc7\u5f88\u591a\u4e8c\u6b21\u66f2\u9762\uff0c\u5b83\u4eec\u90fd\u6709\u5f88\u6f02\u4eae\u76843D\u6548\u679c\uff0c\u5982\u4e0b\u56fe\uff1a 1.\u692d\u5706\u9525\u9762 \uff08\u516c\u5f0f\uff1az^2=(x^2)\/(a^2)+(y^2)\/(b^2)\uff09 2.\u53cc\u66f2\u629b\u7269\u9762\uff08\u4f20\u8bf4\u4e2d\u7684\u9a6c\u978d\u9762\uff09\u771f\u7684\u5f88\u50cf\u9a6c\u978d\uff0c\u54c8\u54c8\u3002\uff08\u516c\u5f0f\uff1az=(x^2)\/(a^2)-(y^2)\/(b^2)\uff09 3.\u692d\u5706\u629b\u7269\u9762 \uff08\u516c\u5f0f\uff1az=(x^2)\/(a^2)+(y^2)\/(b^2)\uff09 4.\u692d\u7403\u9762\uff0c\u6709\u70b9\u50cf\u5916\u661f\u5de8\u86cb\uff0c\u53ef\u7231\uff0c\u54c8\u54c8\u3002\uff08\u516c\u5f0f\uff1a(x^2)\/(a^2)+(y^2)\/(b^2)+(z^2)\/(c^2)=1\uff09 5.\u5355\u53f6\u53cc\u66f2\u9762 \uff08\u516c\u5f0f\uff1a(x^2)\/(a^2)+(y^2)\/(b^2)-(z^2)\/(c^2)=1\uff09 6.\u53cc\u53f6\u53cc\u66f2\u9762 \uff08\u516c\u5f0f\uff1a(x^2)\/(a^2)-(y^2)\/(b^2)-(z^2)\/(c^2)=1\uff09 7.\u8fd9\u4e2a\u4e0d\u77e5\u9053\u600e\u4e48\u79f0\u547c\uff0c\u4f46\u662f\u7ecf\u5e38\u89c1\u5230 \uff08\u516c\u5f0f\uff1a(z^2)*sqrt(x^2+y^2)=a*sin(sqrt(x^2+y^2))^2\uff09 8.\u4e0d\u77e5\u9053\u53eb\u4ec0\u4e48\u540d\u79f0\uff0c\u7f51\u4e0a\u627e\u7684\u3002\uff08\u516c\u5f0f\uff1az=a*((Sin(x^2) + Sin(y^2))\/Exp(x^2 + y^2)\uff09 9.\u51fd\u6570\u7c7b\u4f3cmatlab\u4e2d\u7684peak\u51fd\u6570\uff0c\u521d\u5b66matlab\u7684\u7ed8\u56fe\u4e00\u822c\u90fd\u8bb2\u8fd9\u4e2a\u51fd\u6570 \uff08\u516c\u5f0f\uff1az=a*x*exp(-(x^2+y^2))\uff09 10.\u7531sin(x)\u548ccos(y)\u7ec4\u6210\u7684\u51fd\u6570\uff0c\u6211\u60f3\u8bf4\u5f88\u50cf\u7ae0\u9c7c\u5c0f\u4e38\u5b50\u3002\u54c8\u54c8\u3002 \uff08\u516c\u5f0f\uff1az=a*cos(x\/b)*sin(y\/c)\uff09 \u5c0f\u7ed3\uff1a 1.\u6570\u5b66\u5f88\u7f8e\u3002 2.\u4e0a\u9762\u7684\u66f2\u9762\u53ef\u4ee5\u5f88\u7b80\u5355\u7684\u5728MATLAB\u4e2d\u5b9e\u73b0\uff0c\u5982\u679c\u4f60\u559c\u6b22\uff0c\u4e0d\u59a8\u53bb\u8bd5\u4e00\u8bd5\u3002<\/p>\n","protected":false},"author":1,"featured_media":10149,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,21],"tags":[26,23,27,28,29],"class_list":["post-13","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math-geometry","category-programming","tag-3d","tag-math","tag-mathematical-surfaces","tag-matlab","tag-29"],"aioseo_notices":[],"views":5186,"_links":{"self":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/posts\/13","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=13"}],"version-history":[{"count":0,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/posts\/13\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=\/wp\/v2\/media\/10149"}],"wp:attachment":[{"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.jdcui.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}