{"id":1197,"date":"2026-04-16T10:16:01","date_gmt":"2026-04-16T02:16:01","guid":{"rendered":"https:\/\/guagefangzhen.cn\/?p=1197"},"modified":"2026-04-16T10:16:01","modified_gmt":"2026-04-16T02:16:01","slug":"comsol%e5%9d%90%e6%a0%87%e7%b3%bb%e5%85%a8%e8%a7%a3%e6%9e%90%ef%bc%9a%e8%87%aa%e5%b8%a6%e4%b8%8e%e8%87%aa%e5%ae%9a%e4%b9%89%e5%9d%90%e6%a0%87%e7%b3%bb%e5%ae%9e%e6%93%8d%e6%8c%87%e5%8d%97","status":"publish","type":"post","link":"https:\/\/guagefangzhen.cn\/?p=1197","title":{"rendered":"COMSOL\u5750\u6807\u7cfb\u5168\u89e3\u6790\uff1a\u81ea\u5e26\u4e0e\u81ea\u5b9a\u4e49\u5750\u6807\u7cfb\u5b9e\u64cd\u6307\u5357"},"content":{"rendered":"\n<p>\u5728COMSOL Multiphysics\u7684\u4eff\u771f\u5efa\u6a21\u4e2d\uff0c\u5750\u6807\u7cfb\u662f\u8fde\u63a5\u51e0\u4f55\u6a21\u578b\u3001\u7269\u7406\u573a\u8bbe\u7f6e\u4e0e\u6c42\u89e3\u7ed3\u679c\u7684\u6838\u5fc3\u6865\u6881\u3002\u65e0\u8bba\u662f\u7b80\u5355\u7684\u77e9\u5f62\u7ed3\u6784\u4eff\u771f\uff0c\u8fd8\u662f\u590d\u6742\u7684\u65cb\u8f6c\u673a\u68b0\u3001\u7403\u5bf9\u79f0\u573a\u5206\u6790\uff0c\u9009\u62e9\u5408\u9002\u7684\u5750\u6807\u7cfb\u90fd\u80fd\u5927\u5e45\u7b80\u5316\u5efa\u6a21\u6d41\u7a0b\u3001\u63d0\u5347\u6c42\u89e3\u6548\u7387\uff0c\u751a\u81f3\u907f\u514d\u56e0\u5750\u6807\u4e0d\u5339\u914d\u5bfc\u81f4\u7684\u4eff\u771f\u5931\u771f\u3002<\/p>\n\n\n\n<p>COMSOL\u9ed8\u8ba4\u63d0\u4f9b\u4e86\u4fbf\u6377\u7684\u81ea\u5e26\u5750\u6807\u7cfb\uff0c\u540c\u65f6\u652f\u6301\u591a\u79cd\u81ea\u5b9a\u4e49\u5750\u6807\u7cfb\uff0c\u6ee1\u8db3\u4e0d\u540c\u573a\u666f\u7684\u5efa\u6a21\u9700\u6c42\u3002\u4eca\u5929\u5c31\u6765\u5168\u9762\u62c6\u89e3\u8fd9\u4e9b\u5750\u6807\u7cfb\u2014\u2014\u4ece\u6700\u57fa\u7840\u7684\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u3001\u8fb9\u754c\u5750\u6807\u7cfb\uff0c\u5230\u5e38\u7528\u7684\u81ea\u5b9a\u4e49\u65cb\u8f6c\u5750\u6807\u7cfb\u3001\u7403\u5750\u6807\u7cfb\u3001\u67f1\u72b6\u5750\u6807\u7cfb\uff0c\u7ed3\u5408\u5b9e\u64cd\u573a\u666f\u8bb2\u6e05\u7528\u6cd5\u3001\u533a\u522b\u4e0e\u9002\u7528\u573a\u666f\uff0c\u5e2e\u4f60\u5feb\u901f\u4e0a\u624b\uff0c\u5c11\u8d70\u5f2f\u8def\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u3001\u81ea\u5e26\u5750\u6807\u7cfb\uff1aCOMSOL\u7684\u201c\u9ed8\u8ba4\u5de5\u5177\u7bb1\u201d<\/h2>\n\n\n\n<p>COMSOL\u542f\u52a8\u540e\u4f1a\u81ea\u52a8\u52a0\u8f7d\u57fa\u7840\u5750\u6807\u7cfb\uff0c\u65e0\u9700\u624b\u52a8\u521b\u5efa\uff0c\u5f00\u7bb1\u5373\u7528\uff0c\u4e3b\u8981\u5305\u62ec\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u548c\u8fb9\u754c\u5750\u6807\u7cfb\uff0c\u8986\u76d6\u5927\u591a\u6570\u57fa\u7840\u4eff\u771f\u573a\u666f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u7b1b\u5361\u5c14\u5750\u6807\u7cfb\uff08Cartesian Coordinate System\uff09\uff1a\u5168\u5c40\u901a\u7528\u7684\u201c\u6807\u51c6\u57fa\u51c6\u201d<\/h3>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image\"><img decoding=\"async\" data-src=\"https:\/\/secure2.wostatic.cn\/static\/jDR29G5N6A9GqaKJtwp75G\/74212531-7434-4f53-8ce7-36cadd73baf3.png?auth_key=1776303872-fJDe66F9aMM8S8rYMRSEMD-0-ba1d1f786447e6836768631b14a3c14f\" alt=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" \/><\/figure>\n<\/figure>\n\n\n\n<p>\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u662fCOMSOL\u7684\u9ed8\u8ba4\u5168\u5c40\u5750\u6807\u7cfb\uff0c\u4e5f\u662f\u6700\u57fa\u7840\u3001\u6700\u5e38\u7528\u7684\u5750\u6807\u7cfb\uff0c\u51e0\u4e4e\u6240\u6709\u4eff\u771f\u7684\u521d\u59cb\u57fa\u51c6\u90fd\u57fa\u4e8e\u5b83\uff0c\u76f8\u5f53\u4e8e\u5efa\u6a21\u7684\u201c\u5730\u9762\u5750\u6807\u7cfb\u201d\u3002<\/p>\n\n\n\n<p>\u5b83\u4ee5\u4e09\u6761\u76f8\u4e92\u5782\u76f4\u7684\u76f4\u7ebf\uff08X\u8f74\u3001Y\u8f74\u3001Z\u8f74\uff09\u4e3a\u57fa\u51c6\uff0c\u9075\u5faa\u53f3\u624b\u5b9a\u5219\uff0c\u901a\u8fc7\uff08x, y, z\uff09\u4e09\u4e2a\u5750\u6807\u503c\u552f\u4e00\u786e\u5b9a\u7a7a\u95f4\u4e2d\u4efb\u610f\u4e00\u70b9\u7684\u4f4d\u7f6e\u2014\u2014x\u5bf9\u5e94\u6c34\u5e73\u65b9\u5411\uff0cy\u5bf9\u5e94\u5782\u76f4\u65b9\u5411\uff0cz\u5bf9\u5e94\u5782\u76f4\u4e8exy\u5e73\u9762\u7684\u65b9\u5411\uff08\u4e09\u7ef4\u573a\u666f\uff09\u3002\u5728\u4e8c\u7ef4\u573a\u666f\u4e2d\uff0c\u5219\u7b80\u5316\u4e3a\uff08x, y\uff09\u4e8c\u7ef4\u5750\u6807\uff0cz\u8f74\u9ed8\u8ba4\u4e3a\u5782\u76f4\u4e8e\u5e73\u9762\u7684\u65b9\u5411\u3002<\/p>\n\n\n\n<p>\u3010\u6838\u5fc3\u7279\u70b9\u3011\uff1a\u7ed3\u6784\u7b80\u5355\u3001\u76f4\u89c2\u6613\u61c2\uff0c\u5750\u6807\u4e0e\u51e0\u4f55\u6a21\u578b\u7684\u76f4\u89d2\u8fb9\u3001\u5e73\u884c\u8fb9\u754c\u5929\u7136\u5339\u914d\uff0c\u8ba1\u7b97\u6548\u7387\u9ad8\uff0c\u662fCOMSOL\u4e2d\u6240\u6709\u5750\u6807\u7cfb\u7684\u57fa\u7840\u53c2\u8003\u3002COMSOL\u9ed8\u8ba4\u5c06\u5176\u4f5c\u4e3a\u5168\u5c40\u5750\u6807\u7cfb\uff0c\u7528\u4e8e\u6307\u5b9a\u6750\u6599\u5c5e\u6027\u3001\u8f7d\u8377\u548c\u7ea6\u675f\uff0c\u5728\u6d41\u4f53\u57df\u548c\u8fb9\u754c\u6761\u4ef6\u4e2d\uff0c\u5b83\u901a\u5e38\u88ab\u89c6\u4e3a\u7a7a\u95f4\u56fa\u5b9a\u5750\u6807\u7cfb\uff1b\u800c\u5728\u56fa\u4f53\u6750\u6599\u5c5e\u6027\u8bbe\u7f6e\u4e2d\uff0c\u5176\u5750\u6807\u8f74\u4f1a\u56fa\u5b9a\u5728\u6750\u6599\u4e0a\uff0c\u6210\u4e3a\u6750\u6599\u5750\u6807\u7cfb\u3002<\/p>\n\n\n\n<p>\u3010\u9002\u7528\u573a\u666f\u3011\uff1a\u9002\u7528\u4e8e\u51e0\u4f55\u5f62\u72b6\u89c4\u5219\u3001\u8fb9\u754c\u5e73\u884c\u4e8e\u5750\u6807\u8f74\u7684\u6a21\u578b\uff0c\u6bd4\u5982\u77e9\u5f62\u8154\u4f53\u3001\u957f\u65b9\u4f53\u7ed3\u6784\u3001\u5e73\u677f\u6362\u70ed\u5668\u3001\u76f4\u89d2\u7ba1\u9053\u7b49\u3002\u4f8b\u5982\u4eff\u771f\u4e00\u5757\u77e9\u5f62\u91d1\u5c5e\u677f\u7684\u70ed\u4f20\u5bfc\u3001\u4e00\u4e2a\u957f\u65b9\u4f53\u7535\u5bb9\u5668\u7684\u7535\u573a\u5206\u5e03\uff0c\u76f4\u63a5\u4f7f\u7528\u9ed8\u8ba4\u7684\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u5373\u53ef\uff0c\u65e0\u9700\u989d\u5916\u8bbe\u7f6e\uff0c\u5efa\u6a21\u6548\u7387\u6700\u9ad8\u3002<\/p>\n\n\n\n<p>\u3010\u5b9e\u64cd\u5c0f\u8d34\u58eb\u3011\uff1a\u65b0\u5efa\u6a21\u578b\u540e\uff0c\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u4f1a\u81ea\u52a8\u663e\u793a\u5728\u201c\u5b9a\u4e49-\u5750\u6807\u7cfb\u201d\u8282\u70b9\u4e0b\uff0c\u9ed8\u8ba4\u540d\u79f0\u4e3a\u201cCartesian 1\u201d\uff0c\u539f\u70b9\u9ed8\u8ba4\u5728\uff080,0,0\uff09\u3002\u82e5\u9700\u8c03\u6574\u539f\u70b9\u4f4d\u7f6e\u6216\u5750\u6807\u8f74\u65b9\u5411\uff0c\u53ef\u53f3\u952e\u7f16\u8f91\uff0c\u4fee\u6539\u201c\u539f\u70b9\u201d\u548c\u201c\u8f74\u65b9\u5411\u201d\u53c2\u6570\uff0c\u9002\u914d\u975e\u5bf9\u79f0\u6a21\u578b\u7684\u57fa\u51c6\u9700\u6c42\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u8fb9\u754c\u5750\u6807\u7cfb\uff08Boundary Coordinate System\uff09\uff1a\u8d34\u5408\u8fb9\u754c\u7684\u201c\u5c40\u90e8\u52a9\u624b\u201d<\/h3>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image\"><img decoding=\"async\" data-src=\"https:\/\/secure2.wostatic.cn\/static\/wQDzcZnpPLKjxvfCrNfs4R\/e55c18d8-43a0-4390-90bb-f19f3bcd5cf5.png?auth_key=1776303899-q3BXgkkiWrHtgAx7eRqK1f-0-e6ef8521a1dadb06314b0375b6f94457\" alt=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" \/><\/figure>\n<\/figure>\n\n\n\n<p>\u8fb9\u754c\u5750\u6807\u7cfb\u662fCOMSOL\u4e13\u4e3a\u8fb9\u754c\u6761\u4ef6\u8bbe\u7f6e\u8bbe\u8ba1\u7684\u201c\u5c40\u90e8\u5750\u6807\u7cfb\u201d\uff0c\u5b83\u5e76\u975e\u72ec\u7acb\u7684\u5168\u5c40\u5750\u6807\u7cfb\uff0c\u800c\u662f\u4f9d\u9644\u4e8e\u6a21\u578b\u7684\u8fb9\u754c\uff08\u9762\u3001\u7ebf\u3001\u70b9\uff09\u5b58\u5728\uff0c\u968f\u8fb9\u754c\u7684\u5f62\u72b6\u548c\u65b9\u5411\u81ea\u52a8\u9002\u914d\uff0c\u65e0\u9700\u624b\u52a8\u5b9a\u4e49\u5750\u6807\u8f74\u65b9\u5411\u3002<\/p>\n\n\n\n<p>\u5176\u6838\u5fc3\u903b\u8f91\u662f\uff1a\u4ee5\u8fb9\u754c\u7684\u6cd5\u5411\u3001\u5207\u5411\u4e3a\u5750\u6807\u8f74\u2014\u2014\u5bf9\u4e8e\u4e8c\u7ef4\u8fb9\u754c\uff08\u7ebf\uff09\uff0c\u8fb9\u754c\u5750\u6807\u7cfb\u7684\u4e00\u4e2a\u8f74\u6cbf\u8fb9\u754c\u5207\u5411\uff0c\u53e6\u4e00\u4e2a\u8f74\u6cbf\u8fb9\u754c\u6cd5\u5411\uff1b\u5bf9\u4e8e\u4e09\u7ef4\u8fb9\u754c\uff08\u9762\uff09\uff0c\u5219\u4f1a\u751f\u6210\u4e24\u4e2a\u5207\u5411\u8f74\u548c\u4e00\u4e2a\u6cd5\u5411\u8f74\uff0c\u7cbe\u51c6\u8d34\u5408\u8fb9\u754c\u7684\u51e0\u4f55\u59ff\u6001\u3002COMSOL\u4f1a\u81ea\u52a8\u751f\u6210\u8fb9\u754c\u5750\u6807\u7cfb\u76f8\u5173\u7684\u5185\u7f6e\u53d8\u91cf\uff0c\u65b9\u4fbf\u7528\u6237\u8c03\u7528\u3002<\/p>\n\n\n\n<p>\u3010\u6838\u5fc3\u7279\u70b9\u3011\uff1a\u4e0e\u8fb9\u754c\u201c\u7ed1\u5b9a\u201d\uff0c\u5750\u6807\u8f74\u65b9\u5411\u968f\u8fb9\u754c\u5f62\u72b6\u53d8\u5316\uff08\u5982\u66f2\u9762\u8fb9\u754c\u7684\u6cd5\u5411\u4f1a\u968f\u66f2\u9762\u66f2\u7387\u53d8\u5316\uff09\uff0c\u65e0\u9700\u624b\u52a8\u8ba1\u7b97\u65b9\u5411\u5411\u91cf\uff0c\u80fd\u6781\u5927\u7b80\u5316\u8fb9\u754c\u6761\u4ef6\u7684\u8bbe\u7f6e\u3002\u5c24\u5176\u5728\u5904\u7406\u659c\u5207\u9762\u3001\u66f2\u9762\u8fb9\u754c\u65f6\uff0c\u53ef\u907f\u514d\u590d\u6742\u7684\u77e2\u91cf\u5206\u89e3\u64cd\u4f5c\u3002<\/p>\n\n\n\n<p>\u3010\u9002\u7528\u573a\u666f\u3011\uff1a\u4e3b\u8981\u7528\u4e8e\u8fb9\u754c\u6761\u4ef6\u7684\u7cbe\u51c6\u65bd\u52a0\uff0c\u5c24\u5176\u662f\u9700\u8981\u6cbf\u8fb9\u754c\u6cd5\u5411\u3001\u5207\u5411\u65bd\u52a0\u8f7d\u8377\u3001\u7ea6\u675f\u6216\u7269\u7406\u573a\u7684\u573a\u666f\u3002\u6bd4\u5982\uff1a\u7ed9\u503e\u659c\u7684\u5e73\u9762\u65bd\u52a0\u6cd5\u5411\u538b\u529b\u3001\u7ed9\u66f2\u9762\u8fb9\u754c\u65bd\u52a0\u5207\u5411\u4f4d\u79fb\u3001\u5728\u5f2f\u66f2\u7ba1\u9053\u5185\u58c1\u65bd\u52a0\u5207\u5411\u6d41\u901f\u7b49\u3002<\/p>\n\n\n\n<p>\u3010\u5b9e\u64cd\u5c0f\u8d34\u58eb\u3011\uff1a\u65e0\u9700\u624b\u52a8\u521b\u5efa\u8fb9\u754c\u5750\u6807\u7cfb\uff0c\u5f53\u4f60\u5728\u67d0\u4e2a\u8fb9\u754c\u4e0a\u8bbe\u7f6e\u7269\u7406\u6761\u4ef6\uff08\u5982\u8f7d\u8377\u3001\u7ea6\u675f\uff09\u65f6\uff0cCOMSOL\u4f1a\u81ea\u52a8\u8bc6\u522b\u8be5\u8fb9\u754c\u7684\u5750\u6807\u7cfb\u3002\u5728\u8fb9\u754c\u6761\u4ef6\u8bbe\u7f6e\u9762\u677f\u4e2d\uff0c\u53ef\u901a\u8fc7\u201c\u5750\u6807\u7cfb\u201d\u4e0b\u62c9\u6846\u9009\u62e9\u201c\u8fb9\u754c\u5750\u6807\u7cfb\u201d\uff0c\u5373\u53ef\u76f4\u63a5\u6cbf\u8fb9\u754c\u7684\u6cd5\u5411\u3001\u5207\u5411\u8bbe\u7f6e\u53c2\u6570\uff0c\u65e0\u9700\u5206\u89e3\u5230\u5168\u5c40\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u7684\u5750\u6807\u8f74\u4e0a\uff0c\u5927\u5e45\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001\u81ea\u5b9a\u4e49\u5750\u6807\u7cfb\uff1a\u5e94\u5bf9\u590d\u6742\u573a\u666f\u7684\u201c\u7075\u6d3b\u6b66\u5668\u201d<\/h2>\n\n\n\n<p>\u5f53\u81ea\u5e26\u5750\u6807\u7cfb\u65e0\u6cd5\u6ee1\u8db3\u590d\u6742\u6a21\u578b\u9700\u6c42\uff08\u5982\u65cb\u8f6c\u7ed3\u6784\u3001\u5bf9\u79f0\u7ed3\u6784\u3001\u975e\u6b63\u4ea4\u8fb9\u754c\uff09\u65f6\uff0cCOMSOL\u652f\u6301\u624b\u52a8\u521b\u5efa\u591a\u79cd\u81ea\u5b9a\u4e49\u5750\u6807\u7cfb\uff0c\u5176\u4e2d\u6700\u5e38\u7528\u7684\u5305\u62ec\u65cb\u8f6c\u5750\u6807\u7cfb\u3001\u7403\u5750\u6807\u7cfb\u3001\u67f1\u72b6\u5750\u6807\u7cfb\uff08\u5706\u67f1\u5750\u6807\u7cfb\uff09\uff0c\u6b64\u5916\u8fd8\u6709\u57fa\u77e2\u5750\u6807\u7cfb\u3001\u7ec4\u5408\u5750\u6807\u7cfb\u3001\u6620\u5c04\u5750\u6807\u7cfb\u3001\u7f29\u653e\u5750\u6807\u7cfb\u3001\u590d\u5408\u7cfb\u7edf\u7b49\uff0c\u53ef\u9002\u914d\u66f4\u7ec6\u5206\u7684\u590d\u6742\u5efa\u6a21\u573a\u666f\u3002\u81ea\u5b9a\u4e49\u5750\u6807\u7cfb\u7684\u6838\u5fc3\u4f18\u52bf\u662f\u201c\u9002\u914d\u6a21\u578b\u51e0\u4f55\u201d\uff0c\u8ba9\u7269\u7406\u573a\u8bbe\u7f6e\u66f4\u8d34\u5408\u5b9e\u9645\u573a\u666f\uff0c\u540c\u65f6\u63d0\u5347\u6c42\u89e3\u6536\u655b\u6027\u3002<\/p>\n\n\n\n<p>\u5f53\u81ea\u5e26\u5750\u6807\u7cfb\u65e0\u6cd5\u6ee1\u8db3\u590d\u6742\u6a21\u578b\u9700\u6c42\uff08\u5982\u65cb\u8f6c\u7ed3\u6784\u3001\u5bf9\u79f0\u7ed3\u6784\u3001\u975e\u6b63\u4ea4\u8fb9\u754c\uff09\u65f6\uff0cCOMSOL\u652f\u6301\u624b\u52a8\u521b\u5efa\u591a\u79cd\u81ea\u5b9a\u4e49\u5750\u6807\u7cfb\uff0c\u5176\u4e2d\u6700\u5e38\u7528\u7684\u5c31\u662f\u65cb\u8f6c\u5750\u6807\u7cfb\u3001\u7403\u5750\u6807\u7cfb\u548c\u67f1\u72b6\u5750\u6807\u7cfb\uff08\u5706\u67f1\u5750\u6807\u7cfb\uff09\u3002\u81ea\u5b9a\u4e49\u5750\u6807\u7cfb\u7684\u6838\u5fc3\u4f18\u52bf\u7684\u662f\u201c\u9002\u914d\u6a21\u578b\u51e0\u4f55\u201d\uff0c\u8ba9\u7269\u7406\u573a\u8bbe\u7f6e\u66f4\u8d34\u5408\u5b9e\u9645\u573a\u666f\uff0c\u540c\u65f6\u63d0\u5347\u6c42\u89e3\u6536\u655b\u6027\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u65cb\u8f6c\u5750\u6807\u7cfb\uff08Rotated Coordinate System\uff09\uff1a\u9002\u914d\u65cb\u8f6c\u4e0e\u503e\u659c\u573a\u666f<\/h3>\n\n\n\n<p>\u65cb\u8f6c\u5750\u6807\u7cfb\u662f\u901a\u8fc7\u5c06\u5168\u5c40\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u7ed5\u67d0\u4e00\u8f74\u65cb\u8f6c\u4e00\u5b9a\u89d2\u5ea6\u5f97\u5230\u7684\u81ea\u5b9a\u4e49\u5750\u6807\u7cfb\uff0c\u5750\u6807\u8f74\u4f9d\u7136\u4fdd\u6301\u76f8\u4e92\u5782\u76f4\uff0c\u53ea\u662f\u65b9\u5411\u53d1\u751f\u4e86\u65cb\u8f6c\uff0c\u76f8\u5f53\u4e8e\u201c\u628a\u5168\u5c40\u5750\u6807\u7cfb\u63b0\u5230\u9700\u8981\u7684\u89d2\u5ea6\u201d\uff0c\u662f\u6700\u5e38\u7528\u7684\u81ea\u5b9a\u4e49\u5750\u6807\u7cfb\u4e4b\u4e00\u3002<\/p>\n\n\n\n<p>\u5728COMSOL\u4e2d\u521b\u5efa\u65cb\u8f6c\u5750\u6807\u7cfb\u65f6\uff0c\u9700\u6307\u5b9a\u201c\u65cb\u8f6c\u8f74\u201d\uff08\u5982X\u8f74\u3001Y\u8f74\u3001Z\u8f74\uff0c\u6216\u81ea\u5b9a\u4e49\u8f74\uff09\u548c\u201c\u65cb\u8f6c\u89d2\u5ea6\u201d\uff08\u5355\u4f4d\u4e3a\u5f27\u5ea6\u6216\u5ea6\uff09\uff1b\u5728\u4e09\u7ef4\u6a21\u578b\u4e2d\uff0c\u8fd8\u53ef\u901a\u8fc7\u6b27\u62c9\u89d2\uff08z-x-z\u7ea6\u5b9a\uff09\u5b9e\u73b0\u66f4\u590d\u6742\u7684\u7a7a\u95f4\u65cb\u8f6c\uff0c\u7cbe\u51c6\u8c03\u6574\u5750\u6807\u7cfb\u7684\u7a7a\u95f4\u59ff\u6001\u3002<\/p>\n\n\n\n<p>\u3010\u6838\u5fc3\u7279\u70b9\u3011\uff1a\u5750\u6807\u8f74\u4fdd\u6301\u6b63\u4ea4\uff0c\u4e0e\u5168\u5c40\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u540c\u5c5e\u76f4\u89d2\u5750\u6807\u7cfb\uff0c\u53ea\u662f\u65b9\u5411\u4e0d\u540c\uff0c\u53ef\u5b8c\u7f8e\u9002\u914d\u503e\u659c\u3001\u65cb\u8f6c\u7684\u51e0\u4f55\u7ed3\u6784\uff0c\u65e0\u9700\u5bf9\u7269\u7406\u573a\u53c2\u6570\u8fdb\u884c\u590d\u6742\u7684\u77e2\u91cf\u5206\u89e3\u3002\u5b83\u5c5e\u4e8e\u76f8\u5bf9\u5750\u6807\u7cfb\uff0c\u5176\u5750\u6807\u8f74\u65b9\u5411\u4f1a\u968f\u5168\u5c40\u5750\u6807\u7cfb\u6216\u6307\u5b9a\u53c2\u8003\u7cfb\u53d8\u5316\uff0c\u4e0a\u4e0b\u6587\u4f9d\u8d56\u6027\u4e0e\u5168\u5c40\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u4e00\u81f4\u3002<\/p>\n\n\n\n<p>\u3010\u9002\u7528\u573a\u666f\u3011\uff1a\u9002\u7528\u4e8e\u51e0\u4f55\u7ed3\u6784\u503e\u659c\u3001\u9700\u8981\u6cbf\u7279\u5b9a\u65b9\u5411\u65bd\u52a0\u7269\u7406\u6761\u4ef6\uff0c\u6216\u6a21\u578b\u5b58\u5728\u65cb\u8f6c\u8fd0\u52a8\u7684\u573a\u666f\u3002\u6bd4\u5982\uff1a\u503e\u659c\u7684\u6881\u7ed3\u6784\u3001\u4e0e\u5168\u5c40\u5750\u6807\u8f74\u6210\u4e00\u5b9a\u89d2\u5ea6\u7684\u7ba1\u9053\u3001\u65cb\u8f6c\u7684\u53f6\u8f6e\uff08\u9700\u6a21\u62df\u65cb\u8f6c\u8fd0\u52a8\u65f6\uff09\u3001\u659c\u9762\u4e0a\u7684\u4f4d\u79fb\u65bd\u52a0\u7b49\u3002<\/p>\n\n\n\n<p>\u3010\u5b9e\u64cd\u6848\u4f8b\u3011\uff1a\u82e5\u9700\u5728\u4e00\u4e2a\u4e0eX\u8f74\u621030\u00b0\u89d2\u7684\u659c\u9762\u4e0a\u65bd\u52a0\u6cbf\u659c\u9762\u65b9\u5411\u7684\u4f4d\u79fb\uff0c\u65e0\u9700\u5c06\u4f4d\u79fb\u5206\u89e3\u4e3aX\u3001Y\u65b9\u5411\u7684\u5206\u91cf\uff0c\u53ef\u76f4\u63a5\u521b\u5efa\u4e00\u4e2a\u7ed5Z\u8f74\u65cb\u8f6c30\u00b0\u7684\u65cb\u8f6c\u5750\u6807\u7cfb\uff0c\u7136\u540e\u5728\u8be5\u5750\u6807\u7cfb\u4e0b\uff0c\u6cbf\u65b0\u7684X\u8f74\uff08\u8d34\u5408\u659c\u9762\u65b9\u5411\uff09\u8bbe\u7f6e\u4f4d\u79fb\uff0c\u64cd\u4f5c\u66f4\u7b80\u6d01\u3001\u4e0d\u6613\u51fa\u9519\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u67f1\u72b6\u5750\u6807\u7cfb\uff08Cylindrical Coordinate System\uff09\uff1a\u65cb\u8f6c\u5bf9\u79f0\u6a21\u578b\u7684\u201c\u6700\u4f18\u89e3\u201d<\/h3>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image\"><img decoding=\"async\" data-src=\"https:\/\/secure2.wostatic.cn\/static\/vWYsXiEyFFtNZG3LpHaXcm\/9f626e12-bdc0-4eee-8644-89db96563580.png?auth_key=1776303939-hs4jjsRHBMA6v1jbEV3GFM-0-f1271c589822ff6bbc177418897ac811\" alt=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" \/><\/figure>\n<\/figure>\n\n\n\n<p>\u67f1\u72b6\u5750\u6807\u7cfb\uff08\u53c8\u79f0\u5706\u67f1\u5750\u6807\u7cfb\uff09\u662f\u9488\u5bf9\u65cb\u8f6c\u5bf9\u79f0\u7ed3\u6784\u8bbe\u8ba1\u7684\u5750\u6807\u7cfb\uff0c\u6838\u5fc3\u662f\u201c\u4ee5\u4e00\u6761\u4e2d\u5fc3\u8f74\u4e3a\u57fa\u51c6\u201d\uff0c\u7528\u4e09\u4e2a\u53c2\u6570\uff08r, \u03b8, z\uff09\u63cf\u8ff0\u7a7a\u95f4\u70b9\u7684\u4f4d\u7f6e\uff0c\u5bf9\u5e94\u201c\u5f84\u5411\u3001\u5468\u5411\u3001\u8f74\u5411\u201d\u4e09\u4e2a\u65b9\u5411\uff0c\u5b8c\u7f8e\u9002\u914d\u5706\u67f1\u7c7b\u7ed3\u6784\u3002<\/p>\n\n\n\n<p>\u5404\u53c2\u6570\u7684\u542b\u4e49\u7684\u662f\uff1ar\uff08\u5f84\u5411\uff09\u2014\u2014\u70b9\u5230\u4e2d\u5fc3\u8f74\u7684\u5782\u76f4\u8ddd\u79bb\uff1b\u03b8\uff08\u5468\u5411\uff09\u2014\u2014\u70b9\u5728\u5782\u76f4\u4e8e\u4e2d\u5fc3\u8f74\u7684\u5e73\u9762\u5185\uff0c\u4e0e\u53c2\u8003\u65b9\u5411\u7684\u5939\u89d2\uff1bz\uff08\u8f74\u5411\uff09\u2014\u2014\u70b9\u6cbf\u4e2d\u5fc3\u8f74\u7684\u8ddd\u79bb\uff0c\u4e0e\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u7684Z\u8f74\u65b9\u5411\u4e00\u81f4\u3002\u5176\u4e0e\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u7684\u8f6c\u6362\u5173\u7cfb\u4e3a\uff1ax = r cos\u03b8\uff0cy = r sin\u03b8\uff0cz = z\uff0c\u53c2\u6570\u8303\u56f4\u4e3ar\u2208(0,+\u221e)\u3001\u03b8\u2208(0,2\u03c0)\u3001z\u2208\u211d\u3002<\/p>\n\n\n\n<p>\u3010\u6838\u5fc3\u7279\u70b9\u3011\uff1a\u5929\u751f\u9002\u914d\u65cb\u8f6c\u5bf9\u79f0\u7ed3\u6784\uff0c\u53ef\u5c06\u4e09\u7ef4\u95ee\u9898\u7b80\u5316\u4e3a\u4e8c\u7ef4\u95ee\u9898\uff08\u5f53\u7269\u7406\u573a\u6cbf\u5468\u5411\u5747\u5300\u5206\u5e03\u65f6\uff0c\u03b8\u65b9\u5411\u65e0\u53d8\u5316\uff0c\u53ef\u5ffd\u7565\u03b8\u7ef4\u5ea6\uff09\uff0c\u5927\u5e45\u51cf\u5c11\u8ba1\u7b97\u91cf\uff0c\u63d0\u5347\u6c42\u89e3\u6548\u7387\u3002\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u5728\u4e8c\u7ef4\u8f74\u5bf9\u79f0\u51e0\u4f55\u4e2d\uff0cCOMSOL\u4f1a\u9ed8\u8ba4\u4f7f\u7528\u67f1\u72b6\u5750\u6807\u7cfb\uff0c\u65e0\u9700\u624b\u52a8\u521b\u5efa\u3002<\/p>\n\n\n\n<p>\u3010\u9002\u7528\u573a\u666f\u3011\uff1a\u6240\u6709\u65cb\u8f6c\u5bf9\u79f0\u7684\u6a21\u578b\uff0c\u6bd4\u5982\uff1a\u5706\u67f1\u5f62\u5bb9\u5668\u3001\u7ba1\u9053\u3001\u8f74\u7c7b\u96f6\u4ef6\u3001\u65cb\u8f6c\u7535\u673a\u3001\u5929\u7ebf\u8f90\u5c04\u573a\u3001\u957f\u76f4\u5bfc\u7ebf\u7684\u7535\u78c1\u4eff\u771f\u7b49\u3002\u4f8b\u5982\u4eff\u771f\u5706\u67f1\u7ba1\u9053\u5185\u7684\u6d41\u4f53\u6d41\u52a8\uff0c\u4f7f\u7528\u67f1\u72b6\u5750\u6807\u7cfb\u65f6\uff0c\u53ef\u76f4\u63a5\u8bbe\u7f6e\u5f84\u5411\u6d41\u901f\u3001\u5468\u5411\u6d41\u901f\uff0c\u65e0\u9700\u5206\u89e3\u5230X\u3001Y\u8f74\uff0c\u4e14\u80fd\u5229\u7528\u5bf9\u79f0\u6027\u7b80\u5316\u6a21\u578b\u7ef4\u5ea6\u3002<\/p>\n\n\n\n<p>\u3010\u5b9e\u64cd\u5c0f\u8d34\u58eb\u3011\uff1a\u521b\u5efa\u67f1\u72b6\u5750\u6807\u7cfb\u65f6\uff0c\u9700\u6307\u5b9a\u201c\u4e2d\u5fc3\u8f74\u201d\uff08\u901a\u5e38\u9009\u62e9\u6a21\u578b\u7684\u65cb\u8f6c\u4e2d\u5fc3\u8f74\uff0c\u5982Z\u8f74\uff09\uff0cCOMSOL\u4f1a\u81ea\u52a8\u751f\u6210r\u3001\u03b8\u3001z\u4e09\u4e2a\u5750\u6807\u8f74\u3002\u82e5\u6a21\u578b\u4e3a\u4e8c\u7ef4\u8f74\u5bf9\u79f0\u7ed3\u6784\uff0c\u65e0\u9700\u624b\u52a8\u521b\u5efa\uff0c\u8f6f\u4ef6\u4f1a\u9ed8\u8ba4\u542f\u7528\u67f1\u72b6\u5750\u6807\u7cfb\uff0c\u76f4\u63a5\u5728\u8be5\u5750\u6807\u7cfb\u4e0b\u8bbe\u7f6e\u7269\u7406\u53c2\u6570\u5373\u53ef\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u7403\u5750\u6807\u7cfb\uff08Spherical Coordinate System\uff09\uff1a\u7403\u5bf9\u79f0\u6a21\u578b\u7684\u201c\u4e13\u5c5e\u5de5\u5177\u201d<\/h3>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-4 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image\"><img decoding=\"async\" data-src=\"https:\/\/secure2.wostatic.cn\/static\/rCdAmqDUFbzSCwCeBaSpnr\/af41db1e-1282-42db-bf36-c5c28db2849f.png?auth_key=1776303959-xARJCSaKk9QDoSgUQA7r19-0-7f7a6525f57e65e60848097067899ec4\" alt=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" \/><\/figure>\n<\/figure>\n\n\n\n<p>\u7403\u5750\u6807\u7cfb\u662f\u9488\u5bf9\u7403\u5bf9\u79f0\u7ed3\u6784\u8bbe\u8ba1\u7684\u5750\u6807\u7cfb\uff0c\u4ee5\u4e00\u4e2a\u4e2d\u5fc3\u70b9\uff08\u539f\u70b9\uff09\u4e3a\u57fa\u51c6\uff0c\u7528\u4e09\u4e2a\u53c2\u6570\uff08r, \u03b8, \u03c6\uff09\u63cf\u8ff0\u7a7a\u95f4\u70b9\u7684\u4f4d\u7f6e\uff0c\u5bf9\u5e94\u201c\u5f84\u5411\u3001\u65b9\u4f4d\u89d2\u3001\u6781\u89d2\u201d\u4e09\u4e2a\u65b9\u5411\uff0c\u9002\u914d\u7403\u4f53\u3001\u7403\u9762\u7c7b\u7ed3\u6784\u3002<\/p>\n\n\n\n<p>\u5404\u53c2\u6570\u7684\u542b\u4e49\u7684\u662f\uff1ar\uff08\u5f84\u5411\uff09\u2014\u2014\u70b9\u5230\u539f\u70b9\u7684\u76f4\u7ebf\u8ddd\u79bb\uff1b\u03b8\uff08\u65b9\u4f4d\u89d2\uff09\u2014\u2014\u70b9\u5728xy\u5e73\u9762\u5185\u7684\u6295\u5f71\u4e0eX\u8f74\u7684\u5939\u89d2\uff1b\u03c6\uff08\u6781\u89d2\uff09\u2014\u2014\u70b9\u4e0e\u539f\u70b9\u7684\u8fde\u7ebf\u4e0eZ\u8f74\u7684\u5939\u89d2\u3002\u5176\u4e0e\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u7684\u8f6c\u6362\u5173\u7cfb\u4e3a\uff1ax = r sin\u03c6 cos\u03b8\uff0cy = r sin\u03c6 sin\u03b8\uff0cz = r cos\u03c6\uff0c\u53c2\u6570\u8303\u56f4\u4e3ar\u2208(0,+\u221e)\u3001\u03b8\u2208(0,2\u03c0)\u3001\u03c6\u2208(0,\u03c0)\u3002<\/p>\n\n\n\n<p>\u3010\u6838\u5fc3\u7279\u70b9\u3011\uff1a\u9002\u914d\u7403\u5bf9\u79f0\u7ed3\u6784\uff0c\u53ef\u5c06\u4e09\u7ef4\u95ee\u9898\u7b80\u5316\u4e3a\u4e00\u7ef4\u95ee\u9898\uff08\u5f53\u7269\u7406\u573a\u6cbf\u65b9\u4f4d\u89d2\u3001\u6781\u89d2\u5747\u5300\u5206\u5e03\u65f6\uff0c\u4ec5\u9700\u8003\u8651\u5f84\u5411r\u7684\u53d8\u5316\uff09\uff0c\u6c42\u89e3\u6548\u7387\u6781\u9ad8\u3002\u5750\u6807\u9762\u4e3a\u7403\u9762\u3001\u5706\u9525\u9762\u548c\u534a\u5e73\u9762\uff0c\u80fd\u76f4\u89c2\u63cf\u8ff0\u7403\u5bf9\u79f0\u7269\u7406\u573a\u7684\u5206\u5e03\u89c4\u5f8b\u3002<\/p>\n\n\n\n<p>\u3010\u9002\u7528\u573a\u666f\u3011\uff1a\u7403\u5bf9\u79f0\u6216\u8fd1\u4f3c\u7403\u5bf9\u79f0\u7684\u6a21\u578b\uff0c\u6bd4\u5982\uff1a\u7403\u4f53\u7535\u5bb9\u5668\u3001\u7403\u5f62\u50ac\u5316\u5242\u3001\u539f\u5b50\u8f68\u9053\u8ba1\u7b97\u3001\u884c\u661f\u8fd0\u52a8\u8f68\u8ff9\u3001\u70b9\u7535\u8377\u7684\u7535\u573a\u3001\u58f0\u6ce2\u4f20\u64ad\u7b49\u3002\u4f8b\u5982\u4eff\u771f\u7403\u5f62\u7269\u4f53\u7684\u70ed\u8f90\u5c04\uff0c\u4f7f\u7528\u7403\u5750\u6807\u7cfb\u65f6\uff0c\u53ef\u76f4\u63a5\u8bbe\u7f6e\u5f84\u5411\u7684\u70ed\u6d41\u5bc6\u5ea6\uff0c\u65e0\u9700\u8003\u8651\u590d\u6742\u7684\u7a7a\u95f4\u65b9\u5411\u5206\u89e3\uff0c\u4e14\u80fd\u7cbe\u51c6\u53cd\u6620\u7269\u7406\u573a\u6cbf\u5f84\u5411\u7684\u53d8\u5316\u89c4\u5f8b\u3002<\/p>\n\n\n\n<p>\u3010\u5b9e\u64cd\u5c0f\u8d34\u58eb\u3011\uff1a\u521b\u5efa\u7403\u5750\u6807\u7cfb\u65f6\uff0c\u9700\u6307\u5b9a\u201c\u539f\u70b9\u201d\uff08\u901a\u5e38\u9009\u62e9\u7403\u4f53\u7684\u7403\u5fc3\uff09\uff0cCOMSOL\u4f1a\u81ea\u52a8\u751f\u6210r\u3001\u03b8\u3001\u03c6\u4e09\u4e2a\u5750\u6807\u8f74\u3002\u82e5\u7269\u7406\u573a\u6cbf\u03b8\u3001\u03c6\u65b9\u5411\u65e0\u53d8\u5316\uff0c\u53ef\u5728\u6c42\u89e3\u8bbe\u7f6e\u4e2d\u52fe\u9009\u201c\u8f74\u5bf9\u79f0\u201d\u6216\u201c\u7403\u5bf9\u79f0\u201d\uff0c\u8fdb\u4e00\u6b65\u7b80\u5316\u6a21\u578b\uff0c\u51cf\u5c11\u8ba1\u7b97\u91cf\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4. \u57fa\u77e2\u5750\u6807\u7cfb\uff08Basis Coordinate System\uff09\uff1a\u81ea\u5b9a\u4e49\u65b9\u5411\u7684\u201c\u7cbe\u51c6\u57fa\u51c6\u201d<\/h3>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-5 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image\"><img decoding=\"async\" data-src=\"https:\/\/secure2.wostatic.cn\/static\/deedxwf1RLULZCDAyF4Cps\/da0fdc55-746a-4571-84e2-ffbcc53fe11d.png?auth_key=1776303983-nUnDLVvzBQaAZUwQNt1MTn-0-36a4a487cab8159e998f134fec70368f\" alt=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" \/><\/figure>\n<\/figure>\n\n\n\n<p>\u57fa\u77e2\u5750\u6807\u7cfb\u662f\u901a\u8fc7\u81ea\u5b9a\u4e49\u57fa\u77e2\uff08\u5355\u4f4d\u5411\u91cf\uff09\u6765\u786e\u5b9a\u5750\u6807\u8f74\u65b9\u5411\u7684\u5750\u6807\u7cfb\uff0c\u6838\u5fc3\u662f\u201c\u6446\u8131\u9ed8\u8ba4\u6b63\u4ea4\u7ea6\u675f\u201d\uff0c\u53ef\u521b\u5efa\u6b63\u4ea4\u6216\u975e\u6b63\u4ea4\u7684\u5750\u6807\u7cfb\uff0c\u9002\u914d\u975e\u89c4\u5219\u51e0\u4f55\u7ed3\u6784\u7684\u65b9\u5411\u9700\u6c42\uff0c\u662f\u81ea\u5b9a\u4e49\u5750\u6807\u7cfb\u4e2d\u7075\u6d3b\u6027\u8f83\u5f3a\u7684\u4e00\u79cd\u3002<\/p>\n\n\n\n<p>\u5728COMSOL\u4e2d\u521b\u5efa\u57fa\u77e2\u5750\u6807\u7cfb\u65f6\uff0c\u9700\u624b\u52a8\u6307\u5b9a\u4e09\u4e2a\u7ebf\u6027\u65e0\u5173\u7684\u57fa\u77e2\uff08e\u2081\u3001e\u2082\u3001e\u2083\uff09\uff0c\u53ef\u901a\u8fc7\u8f93\u5165\u5411\u91cf\u5750\u6807\u3001\u9009\u62e9\u51e0\u4f55\u8fb9\/\u8f74\u4f5c\u4e3a\u57fa\u77e2\u65b9\u5411\uff0c\u6216\u901a\u8fc7\u51fd\u6570\u5b9a\u4e49\u52a8\u6001\u57fa\u77e2\u3002\u82e5\u57fa\u77e2\u76f8\u4e92\u5782\u76f4\u4e14\u4e3a\u5355\u4f4d\u5411\u91cf\uff0c\u5373\u4e3a\u6b63\u4ea4\u57fa\u77e2\u5750\u6807\u7cfb\uff0c\u4e0e\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u7c7b\u4f3c\uff1b\u82e5\u57fa\u77e2\u975e\u6b63\u4ea4\uff0c\u5219\u4e3a\u975e\u6b63\u4ea4\u57fa\u77e2\u5750\u6807\u7cfb\uff0c\u9002\u7528\u4e8e\u7279\u6b8a\u7269\u7406\u573a\u5206\u6790\u3002<\/p>\n\n\n\n<p>\u3010\u6838\u5fc3\u7279\u70b9\u3011\uff1a\u57fa\u77e2\u53ef\u81ea\u7531\u5b9a\u4e49\uff0c\u652f\u6301\u6b63\u4ea4\u4e0e\u975e\u6b63\u4ea4\u8bbe\u7f6e\uff0c\u80fd\u7cbe\u51c6\u5339\u914d\u590d\u6742\u51e0\u4f55\u7684\u7279\u6b8a\u65b9\u5411\uff0c\u65e0\u9700\u4f9d\u8d56\u5168\u5c40\u5750\u6807\u7cfb\u7684\u5750\u6807\u8f74\uff0c\u53ef\u76f4\u63a5\u6cbf\u81ea\u5b9a\u4e49\u57fa\u77e2\u65b9\u5411\u8bbe\u7f6e\u7269\u7406\u53c2\u6570\uff0c\u51cf\u5c11\u77e2\u91cf\u5206\u89e3\u8bef\u5dee\u3002<\/p>\n\n\n\n<p>\u3010\u9002\u7528\u573a\u666f\u3011\uff1a\u975e\u89c4\u5219\u51e0\u4f55\u3001\u9700\u8981\u6cbf\u7279\u5b9a\u975e\u6b63\u4ea4\u65b9\u5411\u65bd\u52a0\u8f7d\u8377\u6216\u7269\u7406\u573a\u7684\u573a\u666f\uff0c\u6bd4\u5982\uff1a\u659c\u4ea4\u7f51\u683c\u6a21\u578b\u3001\u975e\u6b63\u4ea4\u7ed3\u6784\u7684\u5e94\u529b\u5206\u6790\u3001\u6676\u4f53\u7ed3\u6784\u4eff\u771f\uff08\u8d34\u5408\u6676\u4f53\u6676\u683c\u65b9\u5411\uff09\u3001\u81ea\u5b9a\u4e49\u65b9\u5411\u7684\u6d41\u4f53\u6d41\u52a8\u6a21\u62df\u7b49\u3002<\/p>\n\n\n\n<p>\u3010\u5b9e\u64cd\u5c0f\u8d34\u58eb\u3011\uff1a\u521b\u5efa\u57fa\u77e2\u5750\u6807\u7cfb\u65f6\uff0c\u9700\u786e\u4fdd\u4e09\u4e2a\u57fa\u77e2\u7ebf\u6027\u65e0\u5173\uff08\u4e0d\u53ef\u5171\u9762\uff09\uff0c\u5426\u5219\u65e0\u6cd5\u751f\u6210\u6709\u6548\u5750\u6807\u7cfb\u3002\u82e5\u9700\u521b\u5efa\u6b63\u4ea4\u57fa\u77e2\uff0c\u53ef\u52fe\u9009\u201c\u6b63\u4ea4\u5316\u201d\u9009\u9879\uff0c\u8f6f\u4ef6\u4f1a\u81ea\u52a8\u5c06\u8f93\u5165\u7684\u57fa\u77e2\u5904\u7406\u4e3a\u6b63\u4ea4\u5355\u4f4d\u5411\u91cf\uff0c\u7b80\u5316\u8bbe\u7f6e\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5. \u7ec4\u5408\u5750\u6807\u7cfb\uff08Combined Coordinate 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class=\"wp-block-heading\">6. \u6620\u5c04\u5750\u6807\u7cfb\uff08Mapped Coordinate 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