{"id":1661,"date":"2021-07-09T13:40:02","date_gmt":"2021-07-09T13:40:02","guid":{"rendered":"http:\/\/81.70.49.155\/?p=1661"},"modified":"2021-07-09T13:45:43","modified_gmt":"2021-07-09T13:45:43","slug":"%e4%b8%89%e7%bb%b4%e7%b2%be%e5%ad%90%e5%bb%ba%e6%a8%a1%e4%b8%ad%e7%9a%84%e7%a9%ba%e9%97%b4%e5%87%a0%e4%bd%95%e9%97%ae%e9%a2%98","status":"publish","type":"post","link":"http:\/\/81.70.49.155\/?p=1661","title":{"rendered":"\u4e09\u7ef4\u7cbe\u5b50\u5efa\u6a21\u4e2d\u7684\u7a7a\u95f4\u51e0\u4f55\u95ee\u9898"},"content":{"rendered":"

\n\t\u4e00\u3001\u4e0d\u5171\u7ebf\u7684\u4e09\u70b9\u786e\u5b9a\u4e00\u4e2a\u5e73\u9762\u7684\u65b9\u6cd5<\/span><\/strong>\n<\/p>\n

\n\t\u5728\u7a7a\u95f4\u5750\u6807\u7cfb\u5185\uff0c\u5e73\u9762\u7684\u65b9\u7a0b\u5747\u53ef\u7528\u4e09\u5143\u4e00\u6b21\u65b9\u7a0bAx+By+Cz+D=0\u6765\u8868\u793a\u3002\u5c06\u5df2\u77e5\u4e09\u4e2a\u70b9\u7684\u5750\u6807\u5206\u522b\u7528P1(x1,y1,z1)\uff0cP2(x2,y2,z2)\uff0cP3(x3,y3,z3)\u8868\u793a\u3002\uff08P1\uff0cP2\uff0cP3\u4e0d\u5728\u540c\u4e00\u6761\u76f4\u7ebf\u4e0a\u3002\uff09\u3002\u8bbe\u901a\u8fc7P1\uff0cP2\uff0cP3\u4e09\u70b9\u7684\u5e73\u9762\u65b9\u7a0b\u4e3aA(x - x1) + B(y - y1) + C(z - z1) = 0 \u3002\u5316\u7b80\u4e3a\u4e00\u822c\u5f0f\uff1aAx + By + Cz + D = 0\u3002\u5c06P1(x1,y1,z1)\u70b9\u6570\u503c\u4ee3\u5165\u65b9\u7a0bAx + By + Cz + D = 0\u3002\u5373\u53ef\u5f97\u5230\uff1aAx1 + By 1+ Cz1 + D = 0\u3002\u5316\u7b80\u5f97D = -(A * x1 + B * y1 + C * z1)\u3002\u5219\u53ef\u4ee5\u6839\u636eP1(x1,y1,z1)\uff0cP2(x2,y2,z2)\uff0cP3(x3,y3,z3)\u4e09\u70b9\u5750\u6807\u5206\u522b\u6c42\u5f97A\u3001B\u3001C\u3001D\u7684\u503c\uff0c\u5982\u4e0b\uff1a
\n A = (y3 - y1)*(z3 - z1) - (z2 -z1)*(y3 - y1);
\n B = (x3 - x1)*(z2 - z1) - (x2 - x1)*(z3 - z1);
\n C = (x2 - x1)*(y3 - y1) - (x3 - x1)*(y2 - y1);
\n D = -(A * x1 + B * y1 + C * z1)\u3002\n<\/p>\n

\n\t\n<\/p>\n

\n\t\u4e8c\u3001\u4e24\u5e73\u9762\u7684\u5939\u89d2\u8ba1\u7b97\u65b9\u6cd5 <\/span><\/strong>\n<\/p>\n

\n\t\u5b9a\u4e49 \u4e24\u5f20\u5e73\u9762\u7684\u6cd5\u5411\u91cf\u7684\u5939\u89d2\uff08\u901a\u5e38\u6307\u9510\u89d2\uff09\u79f0\u4e3a\u4e24\u5e73\u9762\u7684\u5939\u89d2\u3002\u8bbe\u5e73\u9762plane1\u548cplane2\u4e3a\uff1a
\nPlane1\uff1aA1x + B1y + C1z + D1 = 0
\nPlane2\uff1aA2x + B2y + C2z + D2 = 0
\n\u5b83\u4eec\u7684\u6cd5\u5411\u91cf\u4f9d\u6b21\u4e3a\uff1an1={A1,B1,C1}, n2={A2,B2,C2}
\n\u8bb0\u5e73\u97621\u548c2\u7684\u5939\u89d2\u4e3aceta \uff0c\u7531\u89c4\u5b9aceta\u5e94\u662f\u9510\u89d2\uff0c\u56e0\u6b64\u5176\u4f59\u5f26\u503c\u975e\u8d1f\u3002\n<\/p>\n

\n\t\u6545\u6709Cos(ceta)=|A1A2+B1B2+C1C2|\/sqrt(A1**2+ B1**2+ C1**2)\/sqrt(A2**2+ B2**2+ C2**2)<\/p>\n","protected":false},"excerpt":{"rendered":"