勾股定理的应用题 初二数学勾股定理难一点的应用题，要有答案。谢谢。
\u6570\u5b66\u52fe\u80a1\u5b9a\u7406\u5e94\u7528\u989823\uff0e\u6c42\u4e0b\u5217\u5404\u5f0f\u4e2dx\u7684\u503c\uff0e
\uff081\uff0916x2\ufe6381=0\uff1b \uff082\uff09\ufe63\uff08x\ufe632\uff093\ufe6364=0\uff0e
24\uff0e\u8bbe2+\u7684\u6574\u6570\u90e8\u5206\u548c\u5c0f\u6570\u90e8\u5206\u5206\u522b\u662fx\u3001y\uff0c\u8bd5\u6c42x\u3001y\u7684\u503c\u4e0ex\ufe631\u7684\u7b97\u672f\u5e73\u65b9\u6839\uff0e
25\uff0e\u5c06\u4e00\u4e2a\u4f53\u79ef\u4e3a216cm3\u7684\u6b63\u65b9\u4f53\u5206\u6210\u7b49\u5927\u76848\u4e2a\u5c0f\u6b63\u65b9\u4f53\uff0c\u6c42\u6bcf\u4e2a\u5c0f\u6b63\u65b9\u4f53\u7684\u8868\u9762\u79ef\uff0e
26\uff0e\u5982\u56fe\uff0c\u4e00\u4e2a\u957f\u4e3a5m\u7684\u68af\u5b50\u659c\u9760\u5728\u5899\u4e0a\uff0c\u68af\u5b50\u7684\u5e95\u7aef\u8ddd\u58994m\uff0e
\uff081\uff09\u6c42\u68af\u5b50\u7684\u9876\u7aef\u8ddd\u5730\u9762\u7684\u5782\u76f4\u8ddd\u79bb\uff1b
\uff082\uff09\u82e5\u5c06\u68af\u5b50\u7684\u5e95\u7aef\u5411\u5899\u63a8\u8fdb1m\uff0c\u6c42\u68af\u5b50\u7684\u9876\u7aef\u5347\u9ad8\u4e86\u591a\u5c11\u7c73\uff1b
\uff083\uff09\u82e5\u4f7f\u68af\u5b50\u7684\u9876\u7aef\u8ddd\u5730\u97624.8m\uff0c\u6b64\u65f6\u5e94\u5c06\u68af\u5b50\u518d\u5411\u5899\u63a8\u8fdb\u591a\u5c11\u7c73\uff1f
27\uff0e\u5728\u4e00\u5e73\u76f4\u6cb3\u5cb8l\u7684\u540c\u4fa7\u6709A\uff0cB\u4e24\u4e2a\u6751\u5e84\uff0cA\uff0cB\u5230l\u7684\u8ddd\u79bbAM\uff0cBN\u5206\u522b\u662f3km\uff0c2km\uff0c\u4e14MN\u4e3a3km\uff0e\u73b0\u8ba1\u5212\u5728\u6cb3\u5cb8\u4e0a\u5efa\u4e00\u62bd\u6c34\u7ad9P\uff0c\u7528\u8f93\u6c34\u7ba1\u5411\u4e24\u4e2a\u6751\u5e84A\uff0cB\u4f9b\u6c34\uff0c\u6c42\u6c34\u7ba1\u957f\u5ea6\u6700\u5c11\u4e3a\u591a\u5c11\uff0e\uff08\u7cbe\u786e\u52300.1km)
23\uff0e\u6c42\u4e0b\u5217\u5404\u5f0f\u4e2dx\u7684\u503c\uff0e
\uff081\uff0916x2\ufe6381=0\uff1b
\uff082\uff09\ufe63\uff08x\ufe632\uff093\ufe6364=0\uff0e
\u3010\u8003\u70b9\u3011\u7acb\u65b9\u6839\uff1b\u5e73\u65b9\u6839\uff0e
\u3010\u4e13\u9898\u3011\u8ba1\u7b97\u9898\uff0e
\u3010\u5206\u6790\u3011\uff081\uff09\u65b9\u7a0b\u6574\u7406\u540e\uff0c\u5229\u7528\u5e73\u65b9\u6839\u5b9a\u4e49\u5f00\u65b9\u5373\u53ef\u6c42\u51fax\u7684\u503c\uff1b
\uff082\uff09\u65b9\u7a0b\u6574\u7406\u540e\uff0c\u5229\u7528\u7acb\u65b9\u6839\u5b9a\u4e49\u5f00\u7acb\u65b9\u5373\u53ef\u6c42\u51fax\u7684\u503c\uff0e
\u3010\u89e3\u7b54\u3011\u89e3\uff1a\uff081\uff09\u65b9\u7a0b\u6574\u7406\u5f97\uff1ax2=\uff0c
\u5f00\u65b9\u5f97\uff1ax=\u00b1\uff0c
\u89e3\u5f97\uff1ax1=\uff0cx2=\ufe63\uff1b
\uff082\uff09\u65b9\u7a0b\u6574\u7406\u5f97\uff1a\uff08x\ufe632\uff093=\ufe6364\uff0c
\u5f00\u7acb\u65b9\u5f97\uff1ax\ufe632=\ufe634\uff0c
\u89e3\u5f97\uff1ax=\ufe632\uff0e
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24\uff0e\u8bbe2+\u7684\u6574\u6570\u90e8\u5206\u548c\u5c0f\u6570\u90e8\u5206\u5206\u522b\u662fx\u3001y\uff0c\u8bd5\u6c42x\u3001y\u7684\u503c\u4e0ex\ufe631\u7684\u7b97\u672f\u5e73\u65b9\u6839\uff0e
\u3010\u8003\u70b9\u3011\u4f30\u7b97\u65e0\u7406\u6570\u7684\u5927\u5c0f\uff1b\u7b97\u672f\u5e73\u65b9\u6839\uff0e
\u3010\u5206\u6790\u3011\u5148\u627e\u5230\u4ecb\u4e8e\u54ea\u4e24\u4e2a\u6574\u6570\u4e4b\u95f4\uff0c\u4ece\u800c\u627e\u5230\u6574\u6570\u90e8\u5206\uff0c\u5c0f\u6570\u90e8\u5206\u8ba9\u539f\u6570\u51cf\u53bb\u6574\u6570\u90e8\u5206\uff0c\u7136\u540e\u4ee3\u5165\u6c42\u503c\u5373\u53ef\uff0e
\u3010\u89e3\u7b54\u3011\u89e3\uff1a\u56e0\u4e3a4\uff1c6\uff1c9\uff0c\u6240\u4ee52\uff1c\uff1c3\uff0c
\u5373\u7684\u6574\u6570\u90e8\u5206\u662f2\uff0c
\u6240\u4ee52+\u7684\u6574\u6570\u90e8\u5206\u662f4\uff0c\u5c0f\u6570\u90e8\u5206\u662f2+\ufe634=\ufe632\uff0c
\u5373x=4\uff0cy=\ufe632\uff0c\u6240\u4ee5==\uff0e
\u3010\u70b9\u8bc4\u3011\u6b64\u9898\u4e3b\u8981\u8003\u67e5\u4e86\u65e0\u7406\u6570\u7684\u4f30\u7b97\u80fd\u529b\uff0c\u89e3\u9898\u5173\u952e\u662f\u4f30\u7b97\u51fa\u6574\u6570\u90e8\u5206\u540e\uff0c\u7136\u540e\u5373\u53ef\u5f97\u5230\u5c0f\u6570\u90e8\u5206\uff0e
25\uff0e\u5c06\u4e00\u4e2a\u4f53\u79ef\u4e3a216cm3\u7684\u6b63\u65b9\u4f53\u5206\u6210\u7b49\u5927\u76848\u4e2a\u5c0f\u6b63\u65b9\u4f53\uff0c\u6c42\u6bcf\u4e2a\u5c0f\u6b63\u65b9\u4f53\u7684\u8868\u9762\u79ef\uff0e
\u3010\u8003\u70b9\u3011\u7acb\u65b9\u6839\uff0e
\u3010\u4e13\u9898\u3011\u8ba1\u7b97\u9898\uff0e
\u3010\u5206\u6790\u3011\u6839\u636e\u9898\u610f\u5217\u51fa\u7b97\u5f0f\uff0c\u8ba1\u7b97\u5373\u53ef\u5f97\u5230\u7ed3\u679c\uff0e
\u3010\u89e3\u7b54\u3011\u89e3\uff1a\u6839\u636e\u9898\u610f\u5f97\uff1a6\u00d7\uff08\uff092=54\uff08cm2\uff09\uff0c
\u5219\u6bcf\u4e2a\u5c0f\u6b63\u65b9\u4f53\u7684\u8868\u9762\u79ef\u4e3a54cm2\uff0e
\u3010\u70b9\u8bc4\u3011\u6b64\u9898\u8003\u67e5\u4e86\u7acb\u65b9\u6839\uff0c\u719f\u7ec3\u638c\u63e1\u7acb\u65b9\u6839\u7684\u5b9a\u4e49\u662f\u89e3\u672c\u9898\u7684\u5173\u952e\uff0e
26\uff0e\u5982\u56fe\uff0c\u4e00\u4e2a\u957f\u4e3a5m\u7684\u68af\u5b50\u659c\u9760\u5728\u5899\u4e0a\uff0c\u68af\u5b50\u7684\u5e95\u7aef\u8ddd\u58994m\uff0e
\uff081\uff09\u6c42\u68af\u5b50\u7684\u9876\u7aef\u8ddd\u5730\u9762\u7684\u5782\u76f4\u8ddd\u79bb\uff1b
\uff082\uff09\u82e5\u5c06\u68af\u5b50\u7684\u5e95\u7aef\u5411\u5899\u63a8\u8fdb1m\uff0c\u6c42\u68af\u5b50\u7684\u9876\u7aef\u5347\u9ad8\u4e86\u591a\u5c11\u7c73\uff1b
\uff083\uff09\u82e5\u4f7f\u68af\u5b50\u7684\u9876\u7aef\u8ddd\u5730\u97624.8m\uff0c\u6b64\u65f6\u5e94\u5c06\u68af\u5b50\u518d\u5411\u5899\u63a8\u8fdb\u591a\u5c11\u7c73\uff1f
\u3010\u8003\u70b9\u3011\u52fe\u80a1\u5b9a\u7406\u7684\u5e94\u7528\uff0e
\u3010\u5206\u6790\u3011\uff081\uff09\u5728\u76f4\u89d2\u4e09\u89d2\u5f62ECF\u4e2d\uff0c\u5229\u7528\u52fe\u80a1\u5b9a\u7406AC\u5373\u53ef\uff1b
\uff082\uff09\u5728\u76f4\u89d2\u4e09\u89d2\u5f62BC\u4e2d\uff0c\u5229\u7528\u52fe\u80a1\u5b9a\u7406\u8ba1\u7b97\u51faAC\u957f\u5373\u53ef\uff1b
\uff083\uff09\u9996\u5148\u8ba1\u7b97\u51faAC=4.8m\u65f6BC\u7684\u957f\u5ea6\uff0c\u7136\u540e\u518d\u6839\u636e\u9898\u610f\u5f97\u5230\u5e94\u5c06\u68af\u5b50\u518d\u5411\u5899\u63a8\u8fdb\u7684\u8ddd\u79bb\uff0e
\u3010\u89e3\u7b54\u3011\u89e3\uff1a\uff081\uff09\u7531\u9898\u610f\u5f97\uff1aEF=5m\uff0cCF=4m\uff0c
\u5219EC===3\uff08m\uff09\uff0e
\u7b54\uff1a\u68af\u5b50\u7684\u9876\u7aef\u8ddd\u5730\u9762\u7684\u5782\u76f4\u8ddd\u79bb\u662f3m\uff1b
\uff082\uff09\u7531\u9898\u610f\u5f97\uff1aBF=1m\uff0c\u5219CB=4\ufe631=3\uff08m\uff09\uff0c
AC===4\uff08m\uff09\uff0c
\u5219AE=AC\ufe63EC=1m\uff0e
\u7b54\uff1a\u68af\u5b50\u7684\u9876\u7aef\u5347\u9ad8\u4e861m\uff1b
\uff083\uff09\u82e5AC=4.8m\uff0c\u5219BC===1.4\uff08m\uff09\uff0c
\u5e94\u5c06\u68af\u5b50\u518d\u5411\u5899\u63a8\u8fdb3\ufe631.4=1.6\uff08m\uff09\uff0e
\u7b54\uff1a\u5e94\u5c06\u68af\u5b50\u518d\u5411\u5899\u63a8\u8fdb1.6m\uff0e
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27\uff0e\u5728\u4e00\u5e73\u76f4\u6cb3\u5cb8l\u7684\u540c\u4fa7\u6709A\uff0cB\u4e24\u4e2a\u6751\u5e84\uff0cA\uff0cB\u5230l\u7684\u8ddd\u79bbAM\uff0cBN\u5206\u522b\u662f3km\uff0c2km\uff0c\u4e14MN\u4e3a3km\uff0e\u73b0\u8ba1\u5212\u5728\u6cb3\u5cb8\u4e0a\u5efa\u4e00\u62bd\u6c34\u7ad9P\uff0c\u7528\u8f93\u6c34\u7ba1\u5411\u4e24\u4e2a\u6751\u5e84A\uff0cB\u4f9b\u6c34\uff0c\u6c42\u6c34\u7ba1\u957f\u5ea6\u6700\u5c11\u4e3a\u591a\u5c11\uff0e\uff08\u7cbe\u786e\u52300.1km\uff09
\u3010\u8003\u70b9\u3011\u8f74\u5bf9\u79f0-\u6700\u77ed\u8def\u7ebf\u95ee\u9898\uff0e
\u3010\u5206\u6790\u3011\u6839\u636e\u8f74\u5bf9\u79f0\u7684\u6027\u8d28\uff1a\u627e\u51fa\u70b9A\u5173\u4e8e\u76f4\u7ebfl\u7684\u5bf9\u79f0\u70b9A\u2032\uff0c\u8fde\u63a5A\u2032B\u4ea4\u76f4\u7ebfMN\u4e8e\u70b9P\uff0c\u7ed3\u5408\u56fe\u5f62\u5229\u7528\u52fe\u80a1\u5b9a\u7406\u5373\u53ef\u5f97\u51fa\u7b54\u6848\uff0e
\u3010\u89e3\u7b54\u3011\u89e3\uff1a\u5982\u56fe\uff0c
\u5ef6\u957fAM\u5230A\u2032\uff0c\u4f7fMA\u2032=AM\uff0c\u8fde\u63a5A\u2032B\u4ea4l\u4e8eP\uff0c\u8fc7A\u2032\u4f5cA\u2032C\u5782\u76f4\u4e8eBN\u7684\u5ef6\u957f\u7ebf\u4e8e\u70b9C\uff0c
\u2235AM\u22a5l\uff0c
\u2234PB=PA\u2032\uff0c
\u2235A\u2032M\u22a5l\uff0cCN\u22a5l\uff0cA\u2032C\u22a5BC\uff0c
\u2234\u56db\u8fb9\u5f62MA\u2032CN\u662f\u77e9\u5f62\uff0c
\u2234CN=A\u2032M=3km\uff0cA\u2032C=MN=3km\uff0c
\u2234BC=3+2=5km\uff0c
\u2234AP+BP=A\u2032P+PB=A\u2032B=\u22485.8km\uff0e
\u7b54\uff1a\u6c34\u7ba1\u957f\u5ea6\u6700\u5c11\u4e3a5.8km\uff0e
\u3010\u70b9\u8bc4\u3011\u6b64\u9898\u8003\u67e5\u8f74\u5bf9\u79f0\ufe63\u6700\u77ed\u8def\u7ebf\u95ee\u9898\uff0c\u638c\u63e1\u8f74\u5bf9\u79f0\u7684\u6027\u8d28\uff0c\u52fe\u80a1\u5b9a\u7406\uff0c\u77e9\u5f62\u7684\u5224\u5b9a\u4e0e\u6027\u8d28\u662f\u89e3\u51b3\u95ee\u9898\u7684\u5173\u952e\uff0e
则
x*y=48
x²+y²=10²
所以 （x+y）²=x²+y²+2x*y=196
得 x+y=16
周长=2（x+y）=32（米）
分析：48分解质因数=2*2*2*2*3
由6^2+8^2=10^2可知，矩形的边长分别是6和8，因此矩形的周长是2*6+2*8=28m。
3 4 5 "6 8 10"
6*2+8*2=28
首先，跟据题意画出矩形（长方形），然后连接两对角线，跟据勾股定律列出方程。我的手机没有作图的功能，所以无法给出过程，我也是一个初二的学生。
a×b=48
a²＋b²=10²
a=8
b=6
绛旓細璁炬爲楂樹负x绫.鍒欎袱鍙尨瀛愯捣濮嬩綅缃窛鏍戦《锛坸-10锛夌背.鍥犱负涓ゅ彧鐚村瓙缁忚繃鐨勮窛绂婚兘涓10+20=30绫,鎵浠ユ爲椤惰窛A澶勭殑璺濈涓30-锛坸-10锛=40-x绫 鐢鍕捐偂瀹氱悊鍙緱锛歺*x+20*20=锛40-x锛*锛40-x锛夊鏄撹В寰楋細x=15绫 绛旓細姝ゆ爲楂樹负15绫.
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绛旓細鍕捐偂:浠婃湁姹犳柟涓涓堬紝钁敓鍏朵腑澶紝鍑烘按涓灏恒傚紩钁荡宀革紝閫備笌宀搁綈銆傞棶姘存繁銆佽懎闀垮悇鍑犱綍锛熺瓟鏇帮細姘存繁涓涓堜簩灏猴紱钁暱涓涓堜笁灏恒傛湳鏇帮細鍗婃睜鏂硅嚜涔橈紝浠ュ嚭姘翠竴灏鸿嚜涔橈紝鍑忎箣锛岄锛屽嶅嚭姘撮櫎涔嬶紝鍗冲緱姘存繁銆傚姞鍑烘按鏁帮紝寰楄懎闀裤鍕捐偂瀹氱悊锛氭湁涓涓竴涓堝ぇ灏忕殑姹犲瓙锛屼腑澶暱鏈夎姦鑻囷紝楂樺嚭姘撮潰涓灏洪暱銆傛妸鑺﹁媷鎷...
绛旓細30cm鍜40cm鎴490/7cm鍜370/7cm銆傝В绛斿涓嬶細璁句竴杈归暱涓簒锛屽垯浠や竴杈归暱涓70-x锛岀敱鍕捐偂瀹氱悊鏈夛細1銆佽嫢50涓虹洿瑙掕竟锛屽垯50骞虫柟+x骞虫柟=(70-x)骞虫柟锛2銆佽嫢50涓烘枩杈癸紝鍒檟骞虫柟+(70-x)骞虫柟=50骞虫柟銆傚垎鍒В鏂圭▼灏辫浜嗐
绛旓細1銆佷綑寮﹀畾鐞嗭細c^2=a^2+b^2-2abcosC 锛坈涓轰竴杈癸紝C涓篶杈瑰鐨勮锛宑os涓篶鐨勪綑寮︼級鎵浠ワ紝鍕捐偂瀹氱悊涓紝鍥犱负褰撲笁瑙掑舰涓虹洿瑙掓椂锛孋=90搴︼紝cos90搴=0锛屾墍浠ュ緱鍒帮細2銆佸嬀鑲″畾鐞嗭紙浣欏鸡瀹氱悊鐗逛緥锛塩^2=a^2+b^2 锛坈涓烘枩杈癸級3銆搴旂敤杩欎釜瀹氱悊锛屽彲浠ヨ鏈煡鏁帮紝涔熷氨鍙互鐩存帴杩愮敤銆備緥濡傝鐢绘牴鍙20锛屼綘鍏...
绛旓細30cm鍜40cm鎴490/7cm鍜370/7cm銆傝В绛斿涓嬶細璁句竴杈归暱涓簒锛屽垯浠や竴杈归暱涓70-x锛岀敱鍕捐偂瀹氱悊鏈夛細1銆佽嫢50涓虹洿瑙掕竟锛屽垯50骞虫柟+x骞虫柟=(70-x)骞虫柟锛2銆佽嫢50涓烘枩杈癸紝鍒檟骞虫柟+(70-x)骞虫柟=50骞虫柟銆傚垎鍒В鏂圭▼灏辫浜嗐
绛旓細浣犲ソ锛屽涔犳暟瀛﹁閲嶇偣鎺屾彙姒傚康銆佸畾涔夈佸畾鐞嗭紝姣斿浣犱滑姝ｈ鐨勨鍕捐偂瀹氱悊鈥濇蹇垫槸锛氬繀椤绘槸鐩磋涓夎褰紝锛堝叾涓湁涓涓唴瑙掓槸90搴︼紝鎴栬呰鏈変袱鏉¤竟鐩镐簰鍨傜洿锛夐偅涔堝湪鐩磋涓夎褰腑锛屼袱涓洿瑙掕竟鐨勫钩鏂瑰拰绛変簬鏂滆竟鐨勫钩鏂癸紝杩欏氨鏄嬀鑲″畾鐞嗭紝涓涓洿瑙掕竟绉颁负鈥滃嬀鈥濓紝鍙︿竴涓洿瑙掕竟绉颁负鈥滆偂鈥濓紝鏂滆竟绉颁负鈥滅巹鈥濓紝鍗...
绛旓細銆愯冪偣銆鍕捐偂瀹氱悊鐨勫簲鐢锛庛愬垎鏋愩戯紙1锛夊湪鐩磋涓夎褰CF涓紝鍒╃敤鍕捐偂瀹氱悊AC鍗冲彲锛涳紙2锛夊湪鐩磋涓夎褰C涓紝鍒╃敤鍕捐偂瀹氱悊璁＄畻鍑篈C闀垮嵆鍙紱锛3锛夐鍏堣绠楀嚭AC=4.8m鏃禕C鐨勯暱搴︼紝鐒跺悗鍐嶆牴鎹鎰忓緱鍒板簲灏嗘瀛愬啀鍚戝鎺ㄨ繘鐨勮窛绂伙紟銆愯В绛斻戣В锛氾紙1锛夌敱棰樻剰寰楋細EF=5m锛孋F=4m锛屽垯EC===3锛坢锛夛紟绛旓細姊瓙...
绛旓細杩嘋鐐逛綔CD鈯B浜嶥锛屽垯CD=240锛孉D=180锛屽洜涓240<250锛屾墍浠ュ湪D涓よ竟鍒嗗埆瀛樺湪涓鐐癸紝杩欎袱鐐瑰埌C鐨勮窛绂婚兘涓250锛岃杩欎袱鐐瑰垎鍒负E銆丗锛屽嵆CE=CF=250锛屼笖DE=DF锛岀敱鍕捐偂瀹氱悊鐭ワ細DE^2=CE^2-CD^2 鎵浠E=DF=70锛屽嵆浠庣A鐐110绫冲埌250绫宠繖涓娈佃灏侀棴锛屽皝闂暱搴︿负EF=140绫炽 鍥剧墖鎻掍簡澶氭涔熸湭鑳芥彃涓...
绛旓細棰樿褰撶粨璁哄嵆鍙紟鍘熷懡棰樺彲鍙樹负锛氬鏋滀竴涓笁瑙掑舰鏄洿瑙掍笁瑙掑舰锛岄偅涔堝畠鐨勪袱鐩磋杈圭殑骞虫柟鍜岀瓑浜庢枩杈圭殑骞虫柟锛庢垜浠妸棰樿鍜岀粨璁哄彉鎹綅缃嵆鍙細濡傛灉涓涓笁瑙掑舰鐨勪袱杈圭殑骞虫柟鍜岀瓑浜庣涓夎竟鐨勫钩鏂癸紝閭ｄ箞杩欎釜涓夎褰负鐩磋涓夎褰紟鐐硅瘎锛氭湰棰樺睘浜庡熀纭搴旂敤棰锛屽彧闇瀛︾敓鐔熺粌鎺屾彙鍘熷懡棰樹笌閫嗗懡棰樼殑鍏崇郴锛屽嵆鍙畬鎴愶紟
