\u5f88\u591a\u5e74\u524d\u542c\u8fc7\u8fd9\u6837\u4e00\u4e2a\u6545\u4e8b\uff1a\u8bf4\u5927\u9646\u7684\u4e00\u4f4d\u8bbf\u95ee\u5b66\u8005\u4e00\u6b21\u53bb\u4e00\u6240\u7f8e\u56fd\u4e2d\u5b66\u542c\u8bfe\uff0c\u6570\u5b66\u8bfe\u4e0a\u8001\u5e08\u95ee$$\\frac{1}{2}+\\frac{1}{3}$$\u7b49\u4e8e\u591a\u5c11\uff1f\u5b66\u751f\u7b54$$\\frac{2}{5}$$\uff0c\u4e00\u5802\u8bfe\u4e0b\u4e86\u4e5f\u90fd\u6ca1\u6709\u5f02\u8bae…\u4e0b\u8bfe\u540e\u8bbf\u95ee\u5b66\u8005\u8010\u5fc3\u6559\u4e0a\u8bfe\u8001\u5e08\u6b63\u786e\u7684\u65b9\u6cd5…\u51e0\u4e2a\u6708\u540e\u8bbf\u95ee\u5b66\u8005\u6070\u597d\u53c8\u542c\u5230\u90a3\u4f4d\u8001\u5e08\u7684\u8bfe\uff0c\u8bfe\u5802\u4e0a\u8fd8\u662f\u6709\u5b66\u751f\u8bf4$$\\frac{1}{2}+\\frac{1}{3}=\\frac{2}{5}$$\uff0c\u4e0b\u8bfe\u540e\u8bbf\u95ee\u5b66\u8005\u5c31\u95ee\u4e0a\u8bfe\u7684\u8001\u5e08\uff0c\u201c\u6211\u4e0d\u662f\u544a\u8bc9\u8fc7\u4f60\u8fd9\u6837\u8ba1\u7b97\u4e0d\u5bf9\u5417\uff1f\u201d\u8001\u5e08\u5f88\u65e0\u5948\uff0c\u201c\u6211\u77e5\u9053\uff0c\u53ef\u662f\u5927\u5bb6\u90fd\u559c\u6b22\u8fd9\u6837\u8ba1\u7b97\u3002\u201d<\/p>\n
\u8fd9\u539f\u672c\u662f\u201c\u4e13\u5bb6\u201d\u7528\u6765\u8bbd\u523a\u7f8e\u56fd\u8bfe\u5802\u4e0a\u6240\u8c13\u7684\u6c11\u4e3b\uff0c\u4e5f\u53cd\u886c\u6211\u4eec\u201c\u9886\u5148\u56fd\u9645\u201d\u7684\u57fa\u7840\u6559\u80b2…\u4f46\u6362\u4e2a\u89d2\u5ea6\u770b\uff0c\u96be\u9053\u5206\u6570\u7684\u52a0\u6cd5\u4e00\u5b9a\u8981\u901a\u5206\u5417\uff1f\u6211\u5c31\u542c\u8fc7\u8fd9\u6837\u7684\u8303\u4f8b\uff0c\u201c\u8bf4\u4e00\u573a\u6bd4\u8d5b\u4e2d\uff0c\u59da\u660e\u4e0a\u534a\u573a\u7f5a\u7403\u4e24\u7f5a\u4e00\u4e2d\uff08$$\\frac{1}{2}$$\uff09\uff0c\u4e0b\u534a\u573a\u7f5a\u7403\u4e09\u7f5a\u4e00\u4e2d\uff08$$\\frac{1}{3}$$\uff09\uff0c\u6574\u573a\u5c31\u662f\u4e94\u7f5a\u4e24\u4e2d\uff08$$\\frac{2}{5}$$\uff09\u3002\u201d\u4f60\u770b\u8fd9\u4e0d\u5c31\u662f$$\\frac{1}{2}+\\frac{1}{3}=\\frac{1+1}{2+3}=\\frac{2}{5}$$\u5417\uff0c\u770b\u6765\u4eba\u5bb6\u8001\u7f8e\u8bfe\u5802\u662f\u6309\u7167NBA\u7684\u7b97\u6cd5\u3002<\/p>\n
\u6570\u5b66\u4e0a\u5206\u6570\u52a0\u6cd5\u7684\u89c4\u5219\u662f\u5206\u6bcd\u76f8\u540c\u7684\uff0c\u5206\u6bcd\u4e0d\u53d8\u5206\u5b50\u76f8\u52a0\uff0c\u5206\u6bcd\u4e0d\u540c\u7684\u8981\u5148\u901a\u5206\u6bcd\u540e\u518d\u76f8\u52a0\u3002\u800c\u7531$$\\frac{B}{A}+\\frac{C}{A}=\\frac{B+C}{A}$$\u7684\u5f62\u5f0f\uff0c\u6211\u4eec\u60f3\u80fd\u4e0d\u80fd\u6709$$\\frac{B}{A}+\\frac{B}{C}=\\frac{B}{A+C}$$\u7684\u7b49\u5f0f\uff0c\u6216\u662f$$\\frac{B}{A}+\\frac{D}{C}=\\frac{B+D}{A+C}$$\u7684\u8fd0\u7b97\u89c4\u5219\u5462\uff1f\uff08\u5c31\u5982\u7f5a\u7bee\u7684\u4f8b\u5b50\uff09<\/p>\n
\u6216\u8005\u662f\u5426\u53ef\u4ee5\u7ed9\u51fa\u66f4\u4e00\u822c\u5f62\u5f0f\u7684\u5206\u6570\u8fd0\u7b97\u89c4\u5219\uff1a<\/p>\n
1\u3001$$\\frac{B_{1}}{A}+\\frac{B_{2}}{A}+\\frac{B_{3}}{A}+\\cdots=\\frac{\\Sigma{B_{i}}}{A}$$<\/p>\n
2\u3001$$\\frac{B}{A_{1}}+\\frac{B}{A_{2}}+\\frac{B}{A_{3}}+\\cdots=\\frac{B}{\\Sigma{A_{i}}}$$<\/p>\n
3\u3001$$\\frac{B_{1}}{A_{1}}+\\frac{B_{2}}{A_{2}}+\\frac{B_{3}}{A_{3}}+\\cdots=\\frac{\\Sigma{B_{i}}}{\\Sigma{A_{i}}}$$<\/p><\/blockquote>\n
\u5c31\u5982\u77e2\u91cf\u7684\u8fd0\u7b97\u6ee1\u8db3\u5e73\u884c\u56db\u8fb9\u5f62\u6cd5\u5219\u4e00\u6837\uff0c\u5176\u5b9e\u6709\u4e00\u4e9b\u7269\u7406\u91cf\u7684\u8ba1\u7b97\u5c31\u53ef\u4ee5\u6309\u7167\u4e0a\u9762\u7684\u6cdb\u52a0\u6cd5\u89c4\u5219\u8fdb\u884c\uff0c\u6211\u620f\u79f0\u4e4b\u4e3a\u5206\u6570\u52a0\u6cd5\u7684\u81ea\u7136\u6cd5\u5219\u3002\u6bd4\u5982\u7269\u7406\u4e2d\u4e32\u5e76\u8054\u7535\u8def\u7b49\u6548\u7535\u963b\u7684\u8ba1\u7b97\uff0c\u9898\u76ee\u5c3d\u7ba1\u76f8\u5bf9\u5bb9\u6613\uff0c\u800c\u8ba1\u7b97\u7684\u901f\u5ea6\u548c\u51c6\u786e\u7a0b\u5ea6\u5f80\u5f80\u5e76\u4e0d\u7406\u60f3\u3002\u8fd9\u91cc\u6309\u7167\u4e0a\u9762\u7684\u601d\u8def\u7ed9\u51fa\u53e6\u5916\u7684\u4e00\u79cd\u89c6\u89d2\uff0c\u6216\u8bb8\u53ef\u4ee5\u89e3\u51b3\u8fd9\u6837\u7684\u56f0\u60d1\u3002<\/p>\n
\u7535\u963b\u7684\u4e32\u8054\uff0c\u6ee1\u8db3\u89c4\u52191\u3002
\n\u7531\u7535\u963b\u7684\u5b9a\u4e49\u5f0f$$R=\\rho\\frac{L}{S}$$\uff0c\u5047\u5b9a\u4e32\u8054\u7684\u4e24\u4e2a\u7535\u963b\u6750\u6599(\u7535\u963b\u7387$$\\rho$$\u76f8\u540c\uff0c\u6a2a\u622a\u9762\u79efS\u76f8\u540c\uff0c\u7535\u963b\u7684\u533a\u522b\u4ec5\u4ec5\u53cd\u6620\u5728\u7a0b\u5ea6L\u4e0a\u3002$$\\rho\\frac{L_{1}}{S}+\\rho\\frac{L_{2}}{S}=\\rho\\frac{L_{1}+L_{2}}{S}$$\uff0c\u6240\u4ee5\u6709$$R_{1}+R_{2}=R$$\u3002\u66f4\u4e00\u822c\u7684\u60c5\u51b5\u662f\uff0c$$R=\\rho\\frac{\\Sigma{L_{i}}}{S}=\\rho\\frac{L_{1}}{S}+\\rho\\frac{L_{2}}{S}+\\rho\\frac{L_{3}}{S}+\\cdots=\\Sigma{R_{i}}$$\u3002\u800c\u5bf9\u4e8en\u4e2a\u76f8\u540c\u7684\u7535\u963b\u4e32\u8054\uff0c\u7b49\u6548\u7535\u963b$$R_{s}=nR_{0}$$\uff0c\u8fd9\u4e5f\u53ef\u4ee5\u7406\u89e3\u4e3a\u6709\u9650\u7684\u7535\u963b\u503c\u662f\u7531\u65e0\u9650\u7684\u65e0\u9650\u5c0f\u7535\u963b\u4e32\u8054\u7d2f\u52a0\u7684\uff0c\u5c31\u59821\u662f\u75312\u4e2a1\/2\u30013\u4e2a1\/3\u30014\u4e2a1\/4…n\u4e2a1\/n\u4e32\u8054\u7684\u3002<\/p>\n\u4e32\u8054\u7535\u8def\u7b49\u6548\u7535\u963b\u7684\u8ba1\u7b97\u76f8\u5bf9\u5bb9\u6613\uff0c\u6bd4\u5982$$\\frac{1}{2}\\Omega$$\u4e0e$$\\frac{1}{2}\\Omega$$\u4e32\u8054\uff0c$$\\frac{1}{2}+\\frac{5}{2}=\\frac{1+5}{2}=3\\Omega$$\uff0c\u4e5f\u53ef\u4ee5\u8003\u8651\u6210$$\\frac{1}{2}+5\\times\\frac{1}{2}=6\\times\\frac{1}{2}=3\\Omega$$\u3002\u5c31\u662f\u901a\u5e38\u7684\u7684\u5206\u6570\u52a0\u6cd5\u8fd0\u7b97\u3002<\/p>\n
\u7535\u963b\u5e76\u8054\u7684\u8fd0\u7b97\uff0c\u6ee1\u8db3\u89c4\u52192\u3002
\n\u7531\u7535\u963b\u5b9a\u4e49\u516c\u5f0f$$\\frac{1}{R}=\\frac{S}{\\rho{L}}$$\uff0c\u5047\u5b9a\u5e76\u8054\u7684\u4e24\u4e2a\u7535\u963b\u6750\u6599(\u7535\u963b\u7387$$\\rho$$\u76f8\u540c\uff0c\u957f\u5ea6L\u76f8\u540c)\u7535\u963b\u7684\u533a\u522b\u4ec5\u4ec5\u53cd\u6620\u5728\u6a2a\u622a\u9762\u79efS\u76f8\u540c\u3002$$\\frac{S_{1}}{\\rho{L}}+\\frac{S_{2}}{\\rho{L}}=\\frac{S_{1}+S_{2}}{\\rho{L}}$$\u3002\u6240\u4ee5\u6709$$\\frac{1}{R_{1}}+\\frac{1}{R_{2}}=\\frac{1}{R}$$\u3002\u66f4\u4e00\u822c\u7684\u60c5\u51b5\u662f\uff0c$$\\frac{1}{R}=\\frac{S_{1}}{\\rho{L}}+\\frac{S_{2}}{\\rho{L}}+\\frac{S_{3}}{\\rho{L}}+\\cdots=\\frac{\\Sigma{S_{i}}}{\\rho{L}}=\\Sigma{\\frac{1}{R_{i}}}$$\u3002<\/p>\n\u800c\u5bf9\u4e8en\u4e2a\u76f8\u540c\u7684\u7535\u963b\u5e76\u8054\uff0c\u7b49\u6548\u7535\u963b$$R_{p}=\\frac{1}{n}R_{0}$$\uff0c\u8fd9\u6837\u6709\u9650\u7684\u7535\u963b\u53ef\u4ee5\u770b\u6210\u662f\u65e0\u9650\u591a\u4e2a\u65e0\u9650\u5927\u5e76\u8054\u800c\u6210\u3002\u6bd4\u59821\u662f\u67092\u4e2a2\u30013\u4e2a3…n\u4e2an\u5e76\u8054\u3002<\/p>\n
\u6bd4\u5982\u8ba1\u7b97$$\\frac{1}{2}\\Omega$$\u4e0e$$\\frac{1}{3}\\Omega$$\u5e76\u8054\u7b49\u6548\u7535\u963b\uff0c\u65b9\u6cd5\u4e3a$$\\frac{1}{2}+\\frac{1}{3}=\\frac{1}{5}\\Omega$$\u3002\u518d\u59823\u548c6\u4e24\u4e2a\u7535\u963b\u5e76\u8054\uff0c$$\\frac{6}{2}+\\frac{6}{1}=\\frac{6}{2+1}=2\\Omega$$\uff08\u5e76\u8054\u4e2d3\u76f8\u5f53\u4e8e2\u4e2a6\uff09\u3002\u7531\u6b64\u6211\u4eec\u53ef\u4ee5\u7ed9\u51fa\u8fd9\u6837\u7684\u7535\u963b\u5e76\u8054\u516c\u5f0f$$\\frac{R}{n}+\\frac{R}{m}=\\frac{R}{n+m}$$\uff1b$$\\frac{R}{n_{1}}+\\frac{R}{n_{2}}+\\frac{R}{n_{3}}+\\cdots=\\frac{R}{\\Sigma{n_{i}}}$$<\/p>\n
\u5728\u4e32\u8054\u7535\u8def\u4e2d6\u7b49\u4e8e2\u4e2a3\uff0c3\u4e0e6\u4e32\u8054\u662f\uff082+1\uff09\u4e2a3\u4e3a9\uff1b\u800c\u5e76\u8054\u7535\u8def\u4e2d\uff0c3\u76f8\u5f53\u4e8e2\u4e2a6\uff0c3\u4e0e3\u5e76\u8054\uff0c\uff081+2\uff09\u4e2a6\u5e76\u8054\u4e3a2\u3002\u4e5f\u5c31\u662f\u8bf4\u7535\u963b\u4e32\u8054\u9700\u8981\u5206\u6bcd\u901a\u5206\uff0c\u7535\u963b\u5e76\u8054\u9700\u8981\u7684\u662f\u5206\u5b50\u901a\u5206\u3002\u7535\u8def\u4e2d1\u662f\u7531\u65e0\u7a77\u591a\u4e2a\u65e0\u7a77\u5c0f\u7535\u963b\u4e32\u8054\uff0c1\u4e5f\u662f\u7531\u65e0\u7a77\u591a\u4e2a\u65e0\u7a77\u5927\u7535\u963b\u5e76\u8054\u3002\u4e00\u4e2a1\u5305\u542b\u65e0\u7a77\u591a\u4e2a\u65e0\u7a77\u5c0f\uff0c\u53ef\u4ee5\u770b\u6210\u65e0\u7a77\u591a\u4e2a\u65e0\u7a77\u5927…\u5f88\u54f2\u5b66\u5440\u3002<\/p>\n
\u5bf9\u4e8e\u89c4\u52192\uff0c\u4e0d\u4ec5\u7535\u963b\u7684\u5e76\u8054\uff0c\u7b49\u989d\u5b9a\u7535\u538b\u7535\u5668\u4e32\u8054\u540e\u603b\u7535\u529f\u7387\u7684\u8fd0\u7b97\u548c\u52a0\u70ed\u65f6\u95f4\u7684\u8fd0\u7b97\u7b49\u90fd\u6ee1\u8db3\u3002\u6bd4\u5982\uff08220V\uff0c120W\uff09\u7684\u706f\u4e0e(220V,60W)\u7684\u706f\u4e32\u8054\u5728220V\u7684\u7535\u8def\u4e2d\uff0c\u603b\u529f\u7387\u7684\u8ba1\u7b97\u5c31\u6ee1\u8db3$$\\frac{120}{1}+\\frac{120}{2}=\\frac{120}{3}=40W$$\uff0c\u518d\u5982\u67d0\u70ed\u6c34\u5668\u5355\u72ec\u70e7\u6c34\u4e00\u58f6\u6c34\u7684\u65f6\u95f4\u4e3a30\u5206\u949f\uff0c\u53e6\u4e00\u70ed\u6c34\u5668\u5355\u72ec\u70e7\u5f00\u540c\u4e00\u58f6\u6c34\u7684\u65f6\u95f4\u4e3a15\u5206\u949f\uff0c\u5e76\u8054\u4e24\u70ed\u6c34\u5668\u540e\u5171\u540c\u70e7\u6c34\u7684\u65f6\u95f4\u8ba1\u7b97\u53ef\u4ee5\u6309\u7167$$\\frac{30}{1}+\\frac{30}{2}=\\frac{30}{3}=10$$\u5206\u949f\u3002\u5177\u4f53\u7684\u53ef\u4ee5\u53c2\u8003\u4ee5\u524d\u7684\u4e00\u7bc7\u7535\u529f\u7387\u8ba1\u7b97\u7684\u4e00\u79cd\u65b9\u6cd5<\/a>\u3002<\/p>\n
\u90a3\u4ec0\u4e48\u7269\u7406\u91cf\u7684\u8fd0\u7b97\u4f1a\u6ee1\u8db3\u89c4\u52193\u5462\uff1f\u60f3\u6765\u5e73\u5747\u901f\u5ea6\u7684\u8fd0\u7b97\u548c\u5e73\u5747\u5bc6\u5ea6\u7684\u8fd0\u7b97\u5c31\u6ee1\u8db3\u3002<\/p>\n
$$\\overline{V}=\\frac{X}{t}=\\frac{\\Sigma{X_{i}}}{\\Sigma{t_{i}}}$$<\/p>\n
$$\\frac{X_{1}}{t_{1}}+\\frac{X_{2}}{t_{2}}=\\frac{X_{1}+{X_{2}}}{t_{1}+t_{2}}$$\uff1b$$\\frac{X_{1}}{t_{1}}+\\frac{X_{2}}{t_{2}}+\\frac{X_{3}}{t_{3}}+\\cdots=\\frac{\\Sigma{X_{i}}}{\\Sigma{t_{i}}}$$<\/p>\n
$$\\overline{\\rho}=\\frac{M}{V}=\\frac{\\Sigma{M_{i}}}{\\Sigma{V_{i}}}$$<\/p>\n
$$\\frac{M_{1}}{V_{1}}+\\frac{M_{2}}{V_{2}}=\\frac{M_{1}+{M_{2}}}{V_{1}+V_{2}}$$\uff1b$$\\frac{M_{1}}{V_{1}}+\\frac{M_{2}}{V_{2}}+\\frac{M_{3}}{V_{3}}+\\cdots=\\frac{\\Sigma{M_{i}}}{\\Sigma{V_{i}}}$$<\/p><\/blockquote>\n
\u4ee5\u4e0a\u7684\u65b9\u6cd5\u8010\u5fc3\u4f53\u4f1a\u8054\u7cfb\uff0c\u5982\u679c\u4f7f\u7528\u6070\u5f53\u53ef\u4ee5\u5927\u5927\u63d0\u9ad8\u8ba1\u7b97\u7684\u901f\u5ea6\uff0c\u4e0d\u8fc7\u7b49\u5f0f\u4ec5\u4ec5\u662f\u7269\u7406\u7ed3\u679c\u4e0a\u7684\u7b49\uff0c\u8003\u8bd5\u7684\u8ba1\u7b97\u8fc7\u7a0b\u8bfe\u4e0d\u8981\u76f4\u63a5\u7528\u5440\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u5f88\u591a\u5e74\u524d\u542c\u8fc7\u8fd9\u6837\u4e00\u4e2a\u6545\u4e8b\uff1a\u8bf4\u5927\u9646\u7684\u4e00\u4f4d\u8bbf\u95ee\u5b66\u8005\u4e00\u6b21\u53bb\u4e00\u6240\u7f8e\u56fd\u4e2d\u5b66\u542c\u8bfe\uff0c\u6570\u5b66\u8bfe\u4e0a\u8001\u5e08\u95ee$$\\frac{1}{2} … \u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[4,6],"tags":[265,247,263],"class_list":["post-1781","post","type-post","status-publish","format-standard","hentry","category-collect","category-mpo","tag-maths","tag-physics","tag-teach"],"_links":{"self":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/1781","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1781"}],"version-history":[{"count":0,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/1781\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1781"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1781"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}