八年级勾股定理题目。
\u516b\u5e74\u7ea7\u4e0b\u52fe\u80a1\u5b9a\u7406\u7c7b\u578b\u9898\uff0c\u5e26\u7b54\u6848\u52fe\u80a1\u5b9a\u7406\u662f\u6bd4\u8f83\u7b80\u5355\u7684\u77e5\u8bc6\u70b9\u4e86\uff0c\u5173\u952e\u662f\u8981\u7075\u6d3b\u5229\u7528a2+b2=c2\u3002\u4ee5\u4e0b\u662f\u6211\u7c98\u8fc7\u6765\u7684\uff0c\u5e0c\u671b\u5bf9\u4f60\u6709\u6240\u5e2e\u52a9\u5427\u3002http://www.fhsx.cn/Html/Article/19205/
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6.\u52fe\u80a1\u6570
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9.\u52fe\u80a1\u5b9a\u7406\u53ca\u5176\u9006\u5b9a\u7406\u7684\u5e94\u7528
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10\u3001\u4e92\u9006\u547d\u9898\u7684\u6982\u5ff5
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\u2475
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\u89e3\u6790\uff1a\u8fd9\u662f\u4e00\u9053\u5927\u5bb6\u719f\u77e5\u7684\u5178\u578b\u7684\u201c\u77e5\u4e8c\u6c42\u4e00\u201d\u7684\u9898\u3002\u628a\u5b9e\u7269\u6a21\u578b\u8f6c\u5316\u4e3a\u6570\u5b66\u6a21\u578b\u540e\uff0c.\u5df2\u77e5\u659c\u8fb9\u957f\u548c\u4e00\u6761\u76f4\u89d2\u8fb9\u957f\uff0c\u6c42\u53e6\u5916\u4e00\u6761\u76f4\u89d2\u8fb9\u7684\u957f\u5ea6\uff0c\u53ef\u4ee5\u76f4\u63a5\u5229\u7528\u52fe\u80a1\u5b9a\u7406\uff01
\u6839\u636e\u52fe\u80a1\u5b9a\u7406AC2+BC2=AB2, \u5373AC2+92=152,\u6240\u4ee5AC2=144,\u6240\u4ee5AC=12.
\u4f8b\u98982 \u5982\u56fe\uff088\uff09\uff0c\u6c34\u6c60\u4e2d\u79bb\u5cb8\u8fb9D\u70b91.5\u7c73\u7684C\u5904\uff0c\u76f4\u7acb\u957f\u7740\u4e00\u6839\u82a6\u82c7\uff0c\u51fa\u6c34\u90e8\u5206BC\u7684\u957f\u662f0.5\u7c73\uff0c\u628a\u82a6\u82c7\u62c9\u5230\u5cb8\u8fb9\uff0c\u5b83\u7684\u9876\u7aefB\u6070\u597d\u843d\u5230D\u70b9\uff0c\u5e76\u6c42\u6c34\u6c60\u7684\u6df1\u5ea6AC.
\u89e3\u6790\uff1a\u540c\u4f8b\u98981\u4e00\u6837\uff0c\u5148\u5c06\u5b9e\u7269\u6a21\u578b\u8f6c\u5316\u4e3a\u6570\u5b66\u6a21\u578b\uff0c\u5982\u56fe2. \u7531\u9898\u610f\u53ef\u77e5\u25b3ACD\u4e2d,\u2220ACD=90?SPAN>,\u5728Rt\u25b3ACD\u4e2d\uff0c\u53ea\u77e5\u9053CD=1.5\uff0c\u8fd9\u662f\u5178\u578b\u7684\u5229\u7528\u52fe\u80a1\u5b9a\u7406\u201c\u77e5\u4e8c\u6c42\u4e00\u201d\u7684\u7c7b\u578b\u3002
\u6807\u51c6\u89e3\u9898\u6b65\u9aa4\u5982\u4e0b\uff08\u4ec5\u4f9b\u53c2\u8003\uff09\uff1a
\u89e3\uff1a\u5982\u56fe2\uff0c\u6839\u636e\u52fe\u80a1\u5b9a\u7406\uff0cAC2+CD2=AD2
\u8bbe\u6c34\u6df1AC= x\u7c73\uff0c\u90a3\u4e48AD=AB=AC+CB=x+0.5
x2+1.52=\uff08 x+0.5\uff092
\u89e3\u4e4b\u5f97x=2.
\u6545\u6c34\u6df1\u4e3a2\u7c73.
\u9898\u578b\u4e09\uff1a\u52fe\u80a1\u5b9a\u7406\u548c\u9006\u5b9a\u7406\u5e76\u7528\u2014\u2014
\u4f8b\u98983 \u5982\u56fe3\uff0c\u6b63\u65b9\u5f62ABCD\u4e2d\uff0cE\u662fBC\u8fb9\u4e0a\u7684\u4e2d\u70b9\uff0cF\u662fAB\u4e0a\u4e00\u70b9\uff0c\u4e14\u90a3\u4e48\u25b3DEF\u662f\u76f4\u89d2\u4e09\u89d2\u5f62\u5417\uff1f\u4e3a\u4ec0\u4e48\uff1f
\u89e3\u6790\uff1a\u8fd9\u9053\u9898\u628a\u5f88\u591a\u6761\u4ef6\u90fd\u9690\u85cf\u4e86\uff0c\u4e4d\u4e00\u770b\u6709\u70b9\u6478\u4e0d\u7740\u5934\u8111\u3002\u4ed4\u7ec6\u8bfb\u9898\u4f1a\u610f\u53ef\u4ee5\u53d1\u73b0\u89c4\u5f8b\uff0c\u6ca1\u6709\u4efb\u4f55\u6761\u4ef6\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u5f00\u521b\u6761\u4ef6\uff0c\u7531\u53ef\u4ee5\u8bbeAB=4a\uff0c\u90a3\u4e48BE=CE=2 a,AF=3 a,BF= a,\u90a3\u4e48\u5728Rt\u25b3AFD \u3001Rt\u25b3BEF\u548c
Rt\u25b3CDE\u4e2d\uff0c\u5206\u522b\u5229\u7528\u52fe\u80a1\u5b9a\u7406\u6c42\u51faDF,EF\u548cDE\u7684\u957f\uff0c\u53cd\u8fc7\u6765\u518d\u5229\u7528\u52fe\u80a1\u5b9a\u7406\u9006\u5b9a\u7406\u53bb\u5224\u65ad\u25b3DEF\u662f\u5426\u662f\u76f4\u89d2\u4e09\u89d2\u5f62\u3002
\u8be6\u7ec6\u89e3\u9898\u6b65\u9aa4\u5982\u4e0b\uff1a
\u89e3\uff1a\u8bbe\u6b63\u65b9\u5f62ABCD\u7684\u8fb9\u957f\u4e3a4a,\u5219BE=CE=2 a,AF=3 a,BF= a
\u5728Rt\u25b3CDE\u4e2d\uff0cDE2=CD2+CE2=(4a)2+(2 a)2=20 a2
\u540c\u7406EF2=5a2, DF2=25a2
\u5728\u25b3DEF\u4e2d\uff0cEF2+ DE2=5a2+
20a2=25a2=DF2
\u2234\u25b3DEF\u662f\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u4e14\u2220DEF=90?SPAN>.
\u6ce8\uff1a\u672c\u9898\u5229\u7528\u4e86\u56db\u6b21\u52fe\u80a1\u5b9a\u7406\uff0c\u662f\u638c\u63e1\u52fe\u80a1\u5b9a\u7406\u7684\u5fc5\u7ec3\u4e60\u9898\u3002
\u9898\u578b\u56db\uff1a\u5229\u7528\u52fe\u80a1\u5b9a\u7406\u6c42\u7ebf\u6bb5\u957f\u5ea6\u2014\u2014
\u4f8b\u98984 \u5982\u56fe4\uff0c\u5df2\u77e5\u957f\u65b9\u5f62ABCD\u4e2dAB=8cm,BC=10cm,\u5728\u8fb9CD\u4e0a\u53d6\u4e00\u70b9E\uff0c\u5c06\u25b3ADE\u6298\u53e0\u4f7f\u70b9D\u6070\u597d\u843d\u5728BC\u8fb9\u4e0a\u7684\u70b9F\uff0c\u6c42CE\u7684\u957f.
\u89e3\u6790\uff1a\u89e3\u9898\u4e4b\u524d\u5148\u5f04\u6e05\u695a\u6298\u53e0\u4e2d\u7684\u4e0d\u53d8\u91cf\u3002\u5408\u7406\u8bbe\u5143\u662f\u5173\u952e\u3002
\u8be6\u7ec6\u89e3\u9898\u8fc7\u7a0b\u5982\u4e0b\uff1a
\u89e3\uff1a\u6839\u636e\u9898\u610f\u5f97Rt\u25b3ADE\u224cRt\u25b3AEF
\u2234\u2220AFE=90?SPAN>, AF=10cm, EF=DE
\u8bbeCE=xcm\uff0c
\u5219DE=EF=CD\uff0dCE=8\uff0dx
\u5728Rt\u25b3ABF\u4e2d\u7531\u52fe\u80a1\u5b9a\u7406\u5f97\uff1a
AB2+BF2=AF2\uff0c\u537382+BF2=102\uff0c
\u2234BF=6cm
\u2234CF=BC\uff0dBF=10\uff0d6=4(cm)
\u5728Rt\u25b3ECF\u4e2d\u7531\u52fe\u80a1\u5b9a\u7406\u53ef\u5f97\uff1a
EF2=CE2+CF2\uff0c\u5373(8\uff0dx) 2=x2+42
\u223464\uff0d16x+x2=2+16
\u2234x=3(cm),\u5373CE=3 cm
\u6ce8\uff1a\u672c\u9898\u63a5\u4e0b\u6765\u8fd8\u53ef\u4ee5\u6298\u75d5\u7684\u957f\u5ea6\u548c\u6c42\u91cd\u53e0\u90e8\u5206\u7684\u9762\u79ef\u3002
\u9898\u578b\u4e94\uff1a\u5229\u7528\u52fe\u80a1\u5b9a\u7406\u9006\u5b9a\u7406\u5224\u65ad\u5782\u76f4\u2014\u2014
\u4f8b\u98985 \u5982\u56fe5\uff0c\u738b\u5e08\u5085\u60f3\u8981\u68c0\u6d4b\u684c\u5b50\u7684\u8868\u9762AD\u8fb9\u662f\u5426\u5782\u76f4\u4e0eAB\u8fb9\u548cCD\u8fb9\uff0c\u4ed6\u6d4b\u5f97AD=80cm\uff0cAB=60cm\uff0cBD=100cm\uff0cAD\u8fb9\u4e0eAB\u8fb9\u5782\u76f4\u5417\uff1f\u600e\u6837\u53bb\u9a8c\u8bc1AD\u8fb9\u4e0eCD\u8fb9\u662f\u5426\u5782\u76f4\uff1f
\u89e3\u6790\uff1a\u7531\u4e8e\u5b9e\u7269\u4e00\u822c\u6bd4\u8f83\u5927\uff0c\u957f\u5ea6\u4e0d\u5bb9\u6613\u7528\u76f4\u5c3a\u6765\u65b9\u4fbf\u6d4b\u91cf\u3002\u6211\u4eec\u901a\u5e38\u622a\u53d6\u90e8\u5206\u957f\u5ea6\u6765\u9a8c\u8bc1\u3002\u5982\u56fe4\uff0c\u77e9\u5f62ABCD\u8868\u793a\u684c\u9762\u5f62\u72b6\uff0c\u5728AB\u4e0a\u622a\u53d6AM=12cm,\u5728AD\u4e0a\u622a\u53d6AN=9cm(\u60f3\u60f3\u4e3a\u4ec0\u4e48\u8981\u8bbe\u4e3a\u8fd9\u4e24\u4e2a\u957f\u5ea6\uff1f)\uff0c\u8fde\u7ed3MN\uff0c\u6d4b\u91cfMN\u7684\u957f\u5ea6\u3002
\u2460\u5982\u679cMN=15,\u5219AM2+AN2=MN2,\u6240\u4ee5AD\u8fb9\u4e0eAB\u8fb9\u5782\u76f4\uff1b
\u2461\u5982\u679cMN=a\u226015,\u521992+122=81+144=225, a2\u2260225,\u537392+122\u2260
a2\uff0c\u6240\u4ee5\u2220A\u4e0d\u662f\u76f4\u89d2\u3002\u5229\u7528\u52fe\u80a1\u5b9a\u7406\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\u2014\u2014
\u4f8b\u98986 \u6709\u4e00\u4e2a\u4f20\u611f\u5668\u63a7\u5236\u7684\u706f\uff0c\u5b89\u88c5\u5728\u95e8\u4e0a\u65b9\uff0c\u79bb\u5730\u9ad84.5\u7c73\u7684\u5899\u4e0a\uff0c\u4efb\u4f55\u4e1c\u897f\u53ea\u8981\u79fb\u81f35\u7c73\u4ee5\u5185\uff0c\u706f\u5c31\u81ea\u52a8\u6253\u5f00\uff0c\u4e00\u4e2a\u8eab\u9ad81.5\u7c73\u7684\u5b66\u751f\uff0c\u8981\u8d70\u5230\u79bb\u95e8\u591a\u8fdc\u7684\u5730\u65b9\u706f\u521a\u597d\u6253\u5f00\uff1f
\u89e3\u6790\uff1a\u9996\u5148\u8981\u5f04\u6e05\u695a\u4eba\u8d70\u8fc7\u53bb\uff0c\u662f\u5934\u5148\u8ddd\u79bb\u706f5\u7c73\u8fd8\u662f\u811a\u5148\u8ddd\u79bb\u706f5\u7c73\uff0c\u53ef\u60f3\u800c\u77e5\u5e94\u8be5\u662f\u5934\u5148\u8ddd\u79bb\u706f5\u7c73\u3002\u8f6c\u5316\u4e3a\u6570\u5b66\u6a21\u578b\uff0c\u5982\u56fe6 \u6240\u793a\uff0cA\u70b9\u8868\u793a\u63a7\u5236\u706f\uff0cBM\u8868\u793a\u4eba\u7684\u9ad8\u5ea6\uff0cBC\u2225MN,BC\u22a5AN\u5f53\u5934\uff08B\u70b9\uff09\u8ddd\u79bbA\u67095\u7c73\u65f6\uff0c\u6c42BC\u7684\u957f\u5ea6\u3002\u5df2\u77e5AN=4.5\u7c73,\u6240\u4ee5AC=3\u7c73\uff0c\u7531\u52fe\u80a1\u5b9a\u7406\uff0c\u53ef\u8ba1\u7b97BC=4\u7c73.\u5373\u4f7f\u8981\u8d70\u5230\u79bb\u95e84\u7c73\u7684\u65f6\u5019\u706f\u521a\u597d\u6253\u5f00\u3002
\u9898\u578b\u516d\uff1a\u65cb\u8f6c\u95ee\u9898\uff1a
\u4f8b1\u3001\u5982\u56fe\uff0c\u25b3ABC\u662f\u76f4\u89d2\u4e09\u89d2\u5f62\uff0cBC\u662f\u659c\u8fb9\uff0c\u5c06\u25b3ABP\u7ed5\u70b9A\u9006\u65f6\u9488\u65cb\u8f6c\u540e\uff0c\u80fd\u4e0e\u25b3ACP\u2032\u91cd\u5408\uff0c\u82e5AP=3\uff0c\u6c42PP\u2032\u7684\u957f\u3002
\u53d8\u5f0f1\uff1a\u5982\u56fe\uff0cP\u662f\u7b49\u8fb9\u4e09\u89d2\u5f62ABC\u5185\u4e00\u70b9\uff0cPA=2,PB=,PC=4,\u6c42\u25b3ABC\u7684\u8fb9\u957f.
\u5206\u6790\uff1a\u5229\u7528\u65cb\u8f6c\u53d8\u6362\uff0c\u5c06\u25b3BPA\u7ed5\u70b9B\u9006\u65f6\u9488\u9009\u62e960\u57c3\u8df8\u53e8\u6e2d\u68b0\u9175\u6853\u92c8\u5207\u6c83\u6821?/SPAN>
\u6839\u636e\u5b83\u4eec\u7684\u6570\u91cf\u5173\u7cfb\uff0c\u7531\u52fe\u80a1\u5b9a\u7406\u53ef\u77e5\u8fd9\u662f\u4e00\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62.
\u53d8\u5f0f2\u3001\u5982\u56fe\uff0c\u25b3ABC\u4e3a\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u2220BAC=90\u57c3?SPAN>E\u3001F\u662fBC\u4e0a\u7684\u70b9\uff0c\u4e14\u2220EAF=45\u57c3?/SPAN>
\u8bd5\u63a2\u7a76\u95f4\u7684\u5173\u7cfb\uff0c\u5e76\u8bf4\u660e\u7406\u7531.
\u9898\u578b\u4e03\uff1a\u5173\u4e8e\u7ffb\u6298\u95ee\u9898
\u4f8b1\u3001\u5982\u56fe\uff0c\u77e9\u5f62\u7eb8\u7247ABCD\u7684\u8fb9AB=10cm\uff0cBC=6cm\uff0cE\u4e3aBC\u4e0a\u4e00\u70b9\uff0c\u5c06\u77e9\u5f62\u7eb8\u7247\u6cbfAE\u6298\u53e0\uff0c\u70b9B\u6070\u597d\u843d\u5728CD\u8fb9\u4e0a\u7684\u70b9G\u5904\uff0c\u6c42BE\u7684\u957f.
\u53d8\u5f0f\uff1a\u5982\u56fe\uff0cAD\u662f\u25b3ABC\u7684\u4e2d\u7ebf\uff0c\u2220ADC=45\u57c3\u9009?/SPAN>ADC\u6cbf\u76f4\u7ebfAD\u7ffb\u6298\uff0c\u70b9C\u843d\u5728\u70b9C\u2019\u7684\u4f4d\u7f6e\uff0cBC=4,\u6c42BC\u2019\u7684\u957f.
\u9898\u578b\u516b\uff1a\u5173\u4e8e\u52fe\u80a1\u5b9a\u7406\u5728\u5b9e\u9645\u4e2d\u7684\u5e94\u7528\uff1a
\u4f8b1\u3001\u5982\u56fe\uff0c\u516c\u8defMN\u548c\u516c\u8defPQ\u5728P\u70b9\u5904\u4ea4\u6c47\uff0c\u70b9A\u5904\u6709\u4e00\u6240\u4e2d\u5b66\uff0cAP=160\u7c73\uff0c\u70b9A\u5230\u516c\u8defMN\u7684\u8ddd\u79bb\u4e3a80\u7c73\uff0c\u5047\u4f7f\u62d6\u62c9\u673a\u884c\u9a76\u65f6\uff0c\u5468\u56f4100\u7c73\u4ee5\u5185\u4f1a\u53d7\u5230\u566a\u97f3\u5f71\u54cd\uff0c\u90a3\u4e48\u62d6\u62c9\u673a\u5728\u516c\u8defMN\u4e0a\u6cbfPN\u65b9\u5411\u884c\u9a76\u65f6\uff0c\u5b66\u6821\u662f\u5426\u4f1a\u53d7\u5230\u5f71\u54cd\uff0c\u8bf7\u8bf4\u660e\u7406\u7531\uff1b\u5982\u679c\u53d7\u5230\u5f71\u54cd\uff0c\u5df2\u77e5\u62d6\u62c9\u673a\u7684\u901f\u5ea6\u662f18\u5343\u7c73/\u5c0f\u65f6\uff0c\u90a3\u4e48\u5b66\u6821\u53d7\u5230\u5f71\u54cd\u7684\u65f6\u95f4\u4e3a\u591a\u5c11\uff1f
\u9898\u578b\u4e5d\uff1a\u5173\u4e8e\u6700\u77ed\u6027\u95ee\u9898
\u4f8b5\u3001\u5982\u53f3\u56fe1\uff0d19\uff0c\u58c1\u864e\u5728\u4e00\u5ea7\u5e95\u9762\u534a\u5f84\u4e3a2\u7c73\uff0c\u9ad8\u4e3a4\u7c73\u7684\u6cb9\u7f50\u7684\u4e0b\u5e95\u8fb9\u6cbfA\u5904\uff0c\u5b83\u53d1\u73b0\u5728\u81ea\u5df1\u7684\u6b63\u4e0a\u65b9\u6cb9\u7f50\u4e0a\u8fb9\u7f18\u7684B\u5904\u6709\u4e00\u53ea\u5bb3\u866b\uff0c\u4fbf\u51b3\u5b9a\u6355\u6349\u8fd9\u53ea\u5bb3\u866b\uff0c\u4e3a\u4e86\u4e0d\u5f15\u8d77\u5bb3\u866b\u7684\u6ce8\u610f\uff0c\u5b83\u6545\u610f\u4e0d\u8d70\u76f4\u7ebf\uff0c\u800c\u662f\u7ed5\u7740\u6cb9\u7f50\uff0c\u6cbf\u4e00\u6761\u87ba\u65cb\u8def\u7ebf\uff0c\u4ece\u80cc\u540e\u5bf9\u5bb3\u866b\u8fdb\u884c\u7a81\u7136\u88ad\u51fb\uff0e\u7ed3\u679c\uff0c\u58c1\u864e\u7684\u5077\u88ad\u5f97\u5230\u6210\u529f\uff0c\u83b7\u5f97\u4e86\u4e00\u987f\u7f8e\u9910\uff0e\u8bf7\u95ee\u58c1\u864e\u81f3\u5c11\u8981\u722c\u884c\u591a\u5c11\u8def\u7a0b\u624d\u80fd\u6355\u5230\u5bb3\u866b?\uff08\u03c0\u53d63.14\uff0c\u7ed3\u679c\u4fdd\u75591\u4f4d\u5c0f\u6570\uff0c\u53ef\u4ee5\u7528\u8ba1\u7b97\u5668\u8ba1\u7b97\uff09\u53d8\u5f0f\uff1a\u5982\u56fe\u4e3a\u4e00\u68f1\u957f\u4e3a3cm\u7684\u6b63\u65b9\u4f53\uff0c\u628a\u6240\u6709\u9762\u90fd\u5206\u4e3a9\u4e2a\u5c0f\u6b63\u65b9\u5f62\uff0c\u5176\u8fb9\u957f\u90fd\u662f1cm\uff0c\u5047\u8bbe\u4e00\u53ea\u8682\u8681\u6bcf\u79d2\u722c\u884c2cm\uff0c\u5219\u5b83\u4ece\u4e0b\u5730\u9762A\u70b9\u6cbf\u8868\u9762\u722c\u884c\u81f3\u53f3\u4fa7\u9762\u7684B\u70b9\uff0c\u6700\u5c11\u8981\u82b1\u51e0\u79d2\u949f\uff1f
\u4e09\u3001\u8bfe\u540e\u8bad\u7ec3\uff1a
\u4e00\u3001\u586b\u7a7a\u9898
1\uff0e\u5982\u56fe(1)\uff0c\u5728\u9ad82\u7c73\uff0c\u5761\u89d2\u4e3a30\u6697\u7a46\u30cc\u837c\u783b\u5aeb\u75f0\u9765\u6d77\u9765\u65f1\u67d0\u3076\u8fbd\u50a9?/SPAN>________\u7c73\uff0e
\u56fe(1)
2\uff0e\u79cd\u76db\u996e\u6599\u7684\u5706\u67f1\u5f62\u676f\uff08\u5982\u56fe\uff09\uff0c\u6d4b\u5f97\u5185\u90e8\u5e95\u9762\u534a\u5f84\u4e3a2.5\u339d\uff0c\u9ad8\u4e3a12\u339d\uff0c\u5438\u7ba1\u653e\u8fdb\u676f\u91cc\uff0c\u676f\u53e3\u5916\u9762\u81f3\u5c11\u8981\u9732\u51fa4.6\u339d\uff0c\u95ee\u5438\u7ba1\u8981\u505a\u339d\u3002
3\uff0e\u5df2\u77e5\uff1a\u5982\u56fe\uff0c\u25b3ABC\u4e2d\uff0c\u2220C = 90?/SPAN>\uff0c\u70b9O\u4e3a\u25b3ABC\u7684\u4e09\u6761\u89d2\u5e73\u5206\u7ebf\u7684\u4ea4\u70b9\uff0cOD\u22a5BC\uff0cOE\u22a5AC\uff0cOF\u22a5AB\uff0c\u70b9D\u3001E\u3001F\u5206\u522b\u662f\u5782\u8db3\uff0c\u4e14BC = 8cm\uff0cCA = 6cm\uff0c\u5219\u70b9O\u5230\u4e09\u8fb9AB\uff0cAC\u548cBC\u7684\u8ddd\u79bb\u5206\u522b\u7b49\u4e8ecm
4\uff0e\u5728\u4e00\u68f5\u6811\u768410\u7c73\u9ad8\u5904\u6709\u4e24\u53ea\u7334\u5b50\uff0c\u4e00\u53ea\u7334\u5b50\u722c\u4e0b\u6811\u8d70\u5230\u79bb\u681120\u7c73\u5904\u7684\u6c60\u5858\u7684A\u5904\u3002\u53e6\u4e00\u53ea\u722c\u5230\u6811\u9876D\u540e\u76f4\u63a5\u8dc3\u5230A\u5904\uff0c\u8ddd\u79bb\u4ee5\u76f4\u7ebf\u8ba1\u7b97\uff0c\u5982\u679c\u4e24\u53ea\u7334\u5b50\u6240\u7ecf\u8fc7\u7684\u8ddd\u79bb\u76f8\u7b49\uff0c\u5219\u8fd9\u68f5\u6811\u9ad8_____________________\u7c73\u3002
5.\u5982\u56fe\u662f\u4e00\u4e2a\u4e09\u7ea7\u53f0\u9636\uff0c\u5b83\u7684\u6bcf\u4e00\u7ea7\u7684\u957f\u5bbd\u548c\u9ad8\u5206\u522b\u4e3a20dm\u30013dm\u3001
2dm\uff0cA\u548cB\u662f\u8fd9\u4e2a\u53f0\u9636\u4e24\u4e2a\u76f8\u5bf9\u7684\u7aef\u70b9\uff0cA\u70b9\u6709\u4e00\u53ea\u8682\u8681\uff0c\u60f3\u5230B
\u70b9\u53bb\u5403\u53ef\u53e3\u7684\u98df\u7269\uff0c\u5219\u8682\u8681\u6cbf\u7740\u53f0\u9636\u9762\u722c\u5230B\u70b9\u6700\u77ed\u8def\u7a0b\u662f_____________.
\u4e8c\u3001\u9009\u62e9\u9898
1\uff0e\u5df2\u77e5\u4e00\u4e2aRt\u25b3\u7684\u4e24\u8fb9\u957f\u5206\u522b\u4e3a3\u548c4\uff0c\u5219\u7b2c\u4e09\u8fb9\u957f\u7684\u5e73\u65b9\u662f\uff08\u3000\u3000\uff09
A\u300125 B\u300114 C\u30017 D\u30017\u621625
2\uff0eRt\u25b3\u4e00\u76f4\u89d2\u8fb9\u7684\u957f\u4e3a11\uff0c\u53e6\u4e24\u8fb9\u4e3a\u81ea\u7136\u6570\uff0c\u5219Rt\u25b3\u7684\u5468\u957f\u4e3a\uff08\u3000\u3000\uff09
A\u3001121 B\u3001120 C\u3001132 D\u3001\u4e0d\u80fd\u786e\u5b9a
3\uff0e\u5982\u679cRt\u25b3\u4e24\u76f4\u89d2\u8fb9\u7684\u6bd4\u4e3a5\u223612\uff0c\u5219\u659c\u8fb9\u4e0a\u7684\u9ad8\u4e0e\u659c\u8fb9\u7684\u6bd4\u4e3a\uff08\u3000\u3000\uff09
A\u300160\u223613 B\u30015\u223612 C\u300112\u223613 D\u300160\u2236169
4\uff0e\u5df2\u77e5Rt\u25b3ABC\u4e2d\uff0c\u2220C=90\u57c3?SPAN>a+b=14cm\uff0cc=10cm\uff0c\u5219Rt\u25b3ABC\u7684\u9762\u79ef\u662f\uff08\u3000\u3000\uff09
A\u300124cm2 B\u300136cm2 C\u300148cm2 D\u300160cm2
5\uff0e\u7b49\u8170\u4e09\u89d2\u5f62\u5e95\u8fb9\u4e0a\u7684\u9ad8\u4e3a8\uff0c\u5468\u957f\u4e3a32\uff0c\u5219\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u4e3a\uff08\u3000\u3000\uff09
A\u300156 B\u300148 C\u300140 D\u300132
6\uff0e\u67d0\u5e02\u5728\u65e7\u57ce\u6539\u9020\u4e2d\uff0c\u8ba1\u5212\u5728\u5e02\u5185\u4e00\u5757\u5982\u56fe\u6240\u793a\u7684\u4e09\u89d2\u5f62\u7a7a\u5730\u4e0a\u79cd\u690d\u8349\u76ae\u4ee5\u7f8e\u5316\u73af\u5883\uff0c\u5df2\u77e5\u8fd9\u79cd\u8349\u76ae\u6bcf\u5e73\u65b9\u7c73\u552e\u4ef7a\u5143\uff0c\u5219\u8d2d\u4e70\u8fd9\u79cd\u8349\u76ae\u81f3\u5c11\u9700\u8981\uff08\u3000\u3000\uff09
A\u3001450a\u5143 B\u3001225a \u5143 C\u3001150a\u5143 D\u3001300a\u5143
7\uff0e\u5df2\u77e5\uff0c\u5982\u56fe\u957f\u65b9\u5f62ABCD\u4e2d\uff0cAB=3cm\uff0cAD=9cm\uff0c\u5c06\u6b64\u957f\u65b9\u5f62\u6298\u53e0\uff0c\u4f7f\u70b9B\u4e0e\u70b9D\u91cd\u5408\uff0c\u6298\u75d5\u4e3aEF\uff0c\u5219\u25b3ABE\u7684\u9762\u79ef\u4e3a\uff08\u3000\u3000\uff09 A\u30016cm2 B\u30018cm2 C\u300110cm2 D\u300112cm28\uff0e\u5728\u25b3ABC\u4e2d\uff0cAB=15\uff0cAC=13\uff0c\u9ad8AD=12\uff0c\u5219\u25b3ABC\u7684\u5468\u957f\u4e3aA\uff0e42\u3000 B\uff0e32\u3000 C\uff0e42\u621632 D\uff0e37\u6216339. \u5982\u56fe\uff0c\u6b63\u65b9\u5f62\u7f51\u683c\u4e2d\u7684\u25b3ABC\uff0c\u82e5\u5c0f\u65b9\u683c\u8fb9\u957f\u4e3a1\uff0c\u5219\u25b3ABC\u662f
\uff08 \uff09\uff08A\uff09\u76f4\u89d2\u4e09\u89d2\u5f62
(B)\u9510\u89d2\u4e09\u89d2\u5f62 (C)\u949d\u89d2\u4e09\u89d2\u5f62(D)\u4ee5\u4e0a\u7b54\u6848\u90fd\u4e0d\u5bf9\u4e09\u3001\u8ba1\u7b971\u3001\u5982\u56fe\uff0cA\u3001B\u662f\u7b14\u76f4\u516c\u8defl\u540c\u4fa7\u7684\u4e24\u4e2a\u6751\u5e84\uff0c\u4e14\u4e24\u4e2a\u6751\u5e84\u5230\u76f4\u8def\u7684\u8ddd\u79bb\u5206\u522b\u662f300m\u548c500m\uff0c\u4e24\u6751\u5e84\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e3ad(\u5df2\u77e5d2=400000m2)\uff0c\u73b0\u8981\u5728\u516c\u8def\u4e0a\u5efa\u4e00\u6c7d\u8f66\u505c\u9760\u7ad9\uff0c\u4f7f\u4e24\u6751\u5230\u505c\u9760\u7ad9\u7684\u8ddd\u79bb\u4e4b\u548c\u6700\u5c0f\u3002\u95ee\u6700\u5c0f\u662f\u591a\u5c11\uff1f2\u3001\u5982\u56fe1-3-11\uff0c\u6709\u4e00\u5757\u5851\u6599\u77e9\u5f62\u6a21\u677fABCD\uff0c\u957f\u4e3a10cm\uff0c\u5bbd\u4e3a4cm\uff0c\u5c06\u4f60\u624b\u4e2d\u8db3\u591f\u5927\u7684\u76f4\u89d2\u4e09\u89d2\u677f
PHF
\u7684\u76f4\u89d2\u9876\u70b9P\u843d\u5728AD\u8fb9\u4e0a\uff08\u4e0d\u4e0eA\u3001D\u91cd\u5408\uff09\uff0c\u5728AD\u4e0a\u9002\u5f53\u79fb\u52a8\u4e09\u89d2\u677f\u9876\u70b9P\uff1a\u2460\u80fd\u5426\u4f7f\u4f60\u7684\u4e09\u89d2\u677f\u4e24\u76f4\u89d2\u8fb9\u5206\u522b\u901a\u8fc7\u70b9B\u4e0e\u70b9C\uff1f\u82e5\u80fd\uff0c\u8bf7\u4f60\u6c42\u51fa\u8fd9\u65f6
AP \u7684\u957f\uff1b\u82e5\u4e0d\u80fd\uff0c\u8bf7\u8bf4\u660e\u7406\u7531.\u2461\u518d\u6b21\u79fb\u52a8\u4e09\u89d2\u677f\u4f4d\u7f6e\uff0c\u4f7f\u4e09\u89d2\u677f\u9876\u70b9P\u5728AD\u4e0a\u79fb\u52a8\uff0c\u76f4\u89d2\u8fb9PH
\u59cb\u7ec8\u901a\u8fc7\u70b9B\uff0c\u53e6\u4e00\u76f4\u89d2\u8fb9PF\u4e0eDC\u7684\u5ef6\u957f\u7ebf\u4ea4\u4e8e\u70b9Q\uff0c\u4e0eBC\u4ea4\u4e8e\u70b9E\uff0c\u80fd\u5426\u4f7fCE=2cm\uff1f\u82e5\u80fd\uff0c\u8bf7\u4f60\u6c42\u51fa\u8fd9\u65f6AP\u7684\u957f\uff1b\u82e5\u4e0d\u80fd\uff0c\u8bf7\u4f60\u8bf4\u660e\u7406\u7531.
\u56db\u3001\u601d\u7ef4\u8bad\u7ec3\uff1a1\u3001\u5982\u56fe\u6240\u793a\u662f\u4ece\u957f\u4e3a40cm\u3001\u5bbd\u4e3a30cm\u7684\u77e9\u5f62\u94a2\u677f\u7684\u5de6\u4e0a\u89d2\u622a\u53d6\u4e00\u5757\u957f\u4e3a20cm\uff0c\u5bbd\u4e3a10cm\u7684\u77e9\u5f62\u540e\uff0c\u5269\u4e0b\u7684\u4e00\u5757\u4e0b\u811a\u6599\u3002\u5de5\u4eba\u5e08\u5085\u8981\u5c06\u5b83\u505a\u9002\u5f53\u7684\u5207\u5272\uff0c\u91cd\u65b0\u62fc\u63a5\u540e\u710a\u6210\u4e00\u4e2a\u9762\u79ef\u4e0e\u539f\u4e0b\u811a\u6599\u7684\u9762\u79ef\u76f8\u7b49\uff0c\u63a5\u7f1d\u5c3d\u53ef\u80fd\u77ed\u7684\u6b63\u65b9\u5f62\u5de5\u4ef6\uff0c\u8bf7\u6839\u636e\u4e0a\u8ff0\u8981\u6c42\uff0c\u8bbe\u8ba1\u51fa\u5c06\u8fd9\u5757\u4e0b\u811a\u6599\u9002\u5f53\u5206\u5272\u6210\u4e09\u5757\u6216\u4e09\u5757\u4ee5\u4e0a\u7684\u4e24\u79cd\u4e0d\u540c\u7684\u62fc\u63a5\u65b9\u6848\uff08\u5728\u56fe2\uff0c3\u4e2d\u5206\u522b\u753b\u51fa\u5207\u5272\u65f6\u6240\u6cbf\u7684\u865a\u7ebf\uff0c\u4ee5\u53ca\u62fc\u63a5\u540e\u6240\u5f97\u5230\u7684\u6b63\u65b9\u5f62\uff0c\u4fdd\u7559\u62fc\u63a5\u7684\u75d5\u8ff9\uff09\u3002 2\u3001\u845b\u85e4\u662f\u4e00\u79cd\u5201\u94bb\u7684\u690d\u7269\uff0c\u5b83\u81ea\u5df1\u8170\u6746\u4e0d\u786c\uff0c\u4e3a\u4e86\u4e89\u593a\u96e8\u9732\u9633\u5149\uff0c\u5e38\u5e38\u9976\u7740\u6811\u5e72\u76d8\u65cb\u800c\u4e0a\uff0c\u5b83\u8fd8\u6709\u4e00\u624b\u7edd\u62db\uff0c\u5c31\u662f\u5b83\u7ed5\u6811\u76d8\u5347\u7684\u8def\u7ebf\uff0c\u603b\u662f\u6cbf\u7740\u77ed\u8def\u7ebf\u2014\u76d8\u65cb\u524d\u8fdb\u7684\u3002\u96be\u9053\u690d\u7269\u4e5f\u61c2\u5f97\u6570\u5b66\u5417\uff1f\u5982\u679c\u9605\u8bfb\u4ee5\u4e0a\u4fe1\u606f\uff0c\u4f60\u80fd\u8bbe\u8ba1\u4e00\u79cd\u65b9\u6cd5\u89e3\u51b3\u4e0b\u5217\u95ee\u9898\u5417\uff1f\u5982\u679c\u6811\u7684\u5468\u957f\u4e3a3 cm\uff0c\u7ed5\u4e00\u5708\u5347\u9ad84cm\uff0c\u5219\u5b83\u722c\u884c\u8def\u7a0b\u662f\u591a\u5c11\u5398\u7c73\uff1f\u5982\u679c\u6811\u7684\u5468\u957f\u4e3a8 cm\uff0c\u7ed5\u4e00\u5708\u722c\u884c10cm\uff0c\u5219\u722c\u884c\u4e00\u5708\u5347\u9ad8\u591a\u5c11\u5398\u7c73\uff1f\u5982\u679c\u722c\u884c10\u5708\u5230\u8fbe\u6811\u9876\uff0c\u5219\u6811\u5e72\u9ad8\u591a\u5c11\u5398\u7c73\uff1f3\u3001\u5728\uff0c\u25b3ABC\u4e2d\uff0c\u2220ACB=90\u57c3?/SPAN>CD\u22a5AB\u4e8eD,\u6c42\u8bc1\uff1a\u3002
(1),30\u5206\u540e\u5c0f\u660e\u8d7039\u00d730=1170\u7c73\uff0c\u5c0f\u534e\u8d7052\u00d730=1560\u7c73
\u4e8c\u4eba\u8ddd\u79bb\u5373\u4e3a\u4fe1\u53f7\u534a\u5f84=\uff081170²+1560²\uff09½=1950\u7c73
\uff082\uff0939\u00d730\uff1a52\u00d730=3\uff1a4
\u5219\u534a\u5f84r\uff1a52\u00d730=5\uff1a4
r=52/4\u00d75\u00d730=1950
根据勾股定理得BC=√(50²-30²)=40m
小汽车的速度为(40/1000)/(2/3600)=72km/h>70km/h
所以超速了
AC=30m ，AB=50m
则BC=40m
V=40÷2=20m/s=72km/s＞70km/m
所以超速
BC=√AB²-AC²=40m
40÷2=20m/s=72km/h
超速啦超速啦！！
(2)通过计算,你能找到题中数据与勾股数3,4,5的联系吗 试从中寻找求解决问题的简便算法. (1),30分后小明走39×30=1170米，小华走52×30=1560
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