\u5706\u53f0\u662f\u51e0\u4f55\u56fe\u5f62\u4e2d\uff0c\u6bd4\u8f83\u7279\u6b8a\u7684\u5f62\u72b6\uff0c\u5706\u53f0\u7684\u4e0a\u5e95\u9762\u548c\u4e0b\u5e95\u9762\u662f\u534a\u5f84\u4e0d\u76f8\u540c\u7684\u5706\uff0c\u6bcf\u6761\u4fa7\u68f1\u4e5f\u4e0d\u4e92\u76f8\u5e73\u884c\uff0c\u5706\u53f0\u7684\u6027\u8d28\u6709\u5e73\u884c\u4e8e\u5e95\u9762\u7684\u622a\u9762\u662f\u5706\uff0c\u8fc7\u8f74\u7684\u6240\u6709\u622a\u9762\u662f\u5168\u7b49\u7684\u7b49\u8170\u68af\u5f62\u7b49\u3002<\/p>\n
\u5706\u53f0\u4fa7\u9762\u79ef\u516c\u5f0f<\/p>\n
\u5706\u53f0\u7684\u4fa7\u9762\u79ef\u516c\u5f0fS=\u03c0l\uff08R+r\uff09<\/p>\n
\u5177\u4f53\u63a8\u5bfc\u8fc7\u7a0b\uff1a\u8bbe\u5706\u53f0\u7684\u4e0a\u3001\u4e0b\u5e95\u9762\u534a\u5f84\u5206\u522b\u4e3a\uff1ar\u3001R\uff0c\u5706\u53f0\u7684\u6bcd\u7ebf\u957f\u4e3al\u56e0\u4e3a\u5706\u53f0\u7684\u4fa7\u9762\u5c55\u5f00\u56fe\u662f\u73af\u5f62\u7684\u4e00\u90e8\u5206\u5927\u5f27\u957f\u4e3a\uff1a2\u03c0R\u5c0f\u5f27\u957f\u4e3a\uff1a2\u03c0r\u8bbe\u5c0f\u6247\u5f62\u7684\u534a\u5f84\u4e3aa,\u5219\uff1aR\/r=\uff08a+l\uff09\/a\u6240\u4ee5\uff0ca=rl\/\uff08R-r\uff09\u6240\u4ee5\uff0c\u5706\u53f0\u7684\u4fa7\u9762\u79ef\uff1aS=1\/2*2\u03c0R*\uff08a+l\uff09-1\/2*2\u03c0r*a=\u03c0l\uff08R^2-r^2\uff09\/\uff08R-r\uff09=\u03c0l\uff08R+r\uff09\u3002<\/p>\n
\u5706\u53f0\u7684\u9ad8\u600e\u4e48\u6c42<\/p>\n
\u5706\u53f0\u53ef\u89c6\u4f5c\u4e00\u4e2a\u5e95\u9762\u534a\u5f84\u4e3aR\u7684\u5927\u5706\u690e\u7684\u4e0a\u90e8\u622a\u53bb\u5e95\u9762\u534a\u5f84\u4e3ar\u7684\u5c0f\u5706\u690e\u6240\u7559\u4e0b\u7684\u65cb\u8f6c\u4f53\uff1b\u5176\u9ad8\u5ea6\u4e3ah\u3002<\/p>\n
\u56e0\u6b64\u5176\u4f53\u79efV\u662f\u4e24\u4e2a\u5706\u690e\u4f53\u79ef\u7684\u5dee\uff0c\u800c\u4e24\u4e2a\u5706\u690e\u7684\u4f53\u79ef\u516c\u5f0f\u4e2d\u6d89\u53ca\u5230\u5404\u81ea\u7684\u9ad8\uff0c\u56e0\u6b64\u5e94\u8be5\u5148\u6c42\u4e24\u5706\u9525\u7684\u9ad8\u3002<\/p>\n
\u8bbe\u5c0f\u5706\u690e\u7684\u9ad8\u4e3ad\uff0c\u5219\u5927\u5706\u690e\u7684\u9ad8\u4e3ad+h\uff1b\u4e14\u4e24\u5706\u690e\u8f74\u622a\u9762\u6240\u6210\u7684\u7b49\u8170\u4e09\u89d2\u5f62\u662f\u76f8\u4f3c\u7684\uff0c\u6ee1\u8db3\u5982\u4e0b\u6bd4\u4f8b\u5173\u7cfb\uff1a<\/p>\n
d\uff1ad+h=r\uff1aR<\/p>\n
\u53ef\u89e3\u5f97d=[r\/\uff08R-r\uff09]h<\/p>\n
\u4ece\u800c\u5706\u53f0\u7684\u4f53\u79efV=[\uff08\u03c0R^2\uff09\/3]\uff08d+h\uff09-[\uff08\u03c0r^2\uff09\/3]h\u5c06d=[r\/\uff08R-r\uff09]h\u5e26\u5165\u53ef\u5f97\uff1aV=\uff08\u03c0h\/3\uff09\uff08R^3-r^3\uff09\/\uff08R-r\uff09=\uff08\u03c0\/3\uff09\uff08R^2+Rr+r^2\uff09h<\/p>\n
\u5706\u53f0\u4f53\u79ef\u516c\u5f0f\u662f\u4ec0\u4e48<\/p>\n
\u5706\u53f0\u4f53\u79ef\u7684\u8ba1\u7b97\u516c\u5f0f\u662fV=1\/3\u03c0h\uff08r\u00b2\uff0bR\u00b2\uff0brR\uff09\u3002\u5728\u516c\u5f0f\u4e2d\uff0c\u5706\u53f0\u7684\u4e0a\u3001\u4e0b\u5e95\u9762\u7684\u534a\u5f84\u5206\u522b\u662fr\uff0cR\uff0c\u9ad8\u662fh\u3002<\/p>\n
\u5706\u53f0\u7684\u6027\u8d28\uff1a<\/p>\n
1\u3001\u5e73\u884c\u4e8e\u5e95\u9762\u7684\u622a\u9762\u662f\u5706\u3002<\/p>\n
2\u3001\u8fc7\u8f74\u7684\u622a\u9762\u662f\u7b49\u8170\u68af\u5f62\u3002<\/p>\n
3\u3001\u540c\u522b\u7684\u68f1\u53f0\u4e00\u6837\uff0c\u82e5\u5b83\u662f\u4e00\u4e2a\u5706\u9525\u4f53\u5728\uff1f\u5904\u622a\u65ad\uff0c\u5219\u4e0a\u5e95\u534a\u5f84\u4e5f\u5e94\u4e3a\u4e0b\u5e95\u76841\/2\uff0c\u622a\u4e0b\u9762\u79ef\u662f\u6574\u4e2a\u5706\u9525\u9762\u79ef\u76841\/7\u8fc7\u5706\u53f0\u4fa7\u9762\u4e00\u70b9\u6709\u4e14\u53ea\u6709\u4e00\u6761\u6bcd\u7ebf\u3002<\/p>\n
4\u3001\u5982\u679c\u6cbf\u4e00\u4e2a\u76f4\u89d2\u68af\u5f62\u5782\u76f4\u4e8e\u5e95\u8fb9\u7684\u8170\u65cb\u8f6c\u4e00\u5468\uff0c\u5c06\u5f97\u5230\u4e00\u4e2a\u5706\u53f0\u3002<\/p>\n
5\u3001\u5706\u53f0\u4efb\u610f\u4e24\u6761\u6bcd\u7ebf\u5ef6\u957f\u540e\u4ea4\u4e8e\u4e00\u70b9\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u5706\u53f0\u662f\u51e0\u4f55\u56fe\u5f62\u4e2d\uff0c\u6bd4\u8f83\u7279\u6b8a\u7684\u5f62\u72b6\uff0c\u5706\u53f0\u7684\u4e0a\u5e95\u9762\u548c\u4e0b\u5e95\u9762\u662f\u534a\u5f84\u4e0d\u76f8\u540c\u7684\u5706\uff0c\u6bcf\u6761\u4fa7\u68f1\u4e5f\u4e0d\u4e92\u76f8\u5e73\u884c\uff0c\u5706\u53f0\u7684\u6027\u8d28\u6709\u5e73\u884c … \u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-5248","post","type-post","status-publish","format-standard","hentry","category-shuxue"],"_links":{"self":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts\/5248","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/comments?post=5248"}],"version-history":[{"count":1,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts\/5248\/revisions"}],"predecessor-version":[{"id":5249,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts\/5248\/revisions\/5249"}],"wp:attachment":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/media?parent=5248"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/categories?post=5248"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/tags?post=5248"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}