圆台的外接球圆心怎么找 高中数学：在立体几何图形中找外接圆圆心和内接圆圆心有哪些方法...
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1 \u957f\u65b9\u4f53\u7684\u5916\u63a5\u7403
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\u4f8b1 \uff082017\u5e74\u5168\u56fd\u2161\u5377\u658715\uff09\u957f\u65b9\u4f53\u7684\u957f\u3001\u5bbd\u3001\u9ad8\u5206\u522b\u4e3a3\uff0c2\uff0c1\uff0c\u5176\u9876\u70b9\u90fd\u5728\u7403O\u7684\u7403\u9762\u4e0a\uff0c\u5219\u7403O\u7684\u8868\u9762\u79ef.
\u7b80\u89e3 \u8bbe\u7403O\u7684\u534a\u5f84R\uff0c\u5219R=32+22+122=142\uff0c\u6545\u7403O\u7684\u8868\u9762\u79efS=4\u03c0R2=14\u03c0.
\u70b9\u8bc4 \u957f\u65b9\u4f53\u662f\u91cd\u8981\u7684\u7acb\u4f53\u51e0\u4f55\u6a21\u578b\uff0c\u5728\u8ba4\u8bc6\u7a7a\u95f4\u7ed3\u6784\u7279\u5f81\u3001\u57f9\u517b\u76f4\u89c2\u60f3\u8c61\u7d20\u517b\u4e2d\u53d1\u6325\u7740\u57fa\u7840\u7684\u4f5c\u7528.\u5728\u89e3\u51b3\u7a7a\u95f4\u51e0\u4f55\u4f53\u7684\u5916\u63a5\u7403\u95ee\u9898\u65f6\uff0c\u8981\u5145\u5206\u501f\u52a9\u957f\u65b9\u4f53\u6a21\u578b\u7684\u51e0\u4f55\u7279\u5f81\uff0c\u7b80\u5316\u6c42\u89e3\u8fc7\u7a0b.
\u4f8b2 \uff082010\u5e74\u8fbd\u5b81\u5377\u658711\u6539\u7f16\uff09\u5df2\u77e5S\uff0cA\uff0cB\uff0cC\u662f\u7403O\u8868\u9762\u4e0a\u7684\u70b9\uff0cSA\u22a5\u5e73\u9762ABC\uff0cAB\u22a5AC\uff0cSA=AB=1\uff0cAC=2\uff0c\u5219\u7403O\u8868\u9762\u79ef\u7b49\u4e8e.
\u7b80\u89e3 \u5c06\u56fe1\u4e2d\u7684\u4e09\u68f1\u9525S-ABC\u8865\u5f62\u6210\u56fe2\u4e2d\u7684\u957f\u65b9\u4f53\uff0c\u663e\u7136\u4e09\u68f1\u9525S-ABC\u7684\u5916\u63a5\u7403O\u4e0e\u957f\u65b9\u4f53\u7684\u5916\u63a5\u7403\u4e3a\u540c\u4e00\u4e2a\u7403.\u56e0\u4e3a\u957f\u65b9\u4f53\u7684\u957f\u3001\u5bbd\u3001\u9ad8\u5206\u522b\u4e3a2\uff0c1\uff0c1\uff0c\u6545\u5916\u63a5\u7403O\u7684\u534a\u5f84R=2+1+12=1\uff0c\u5176\u8868\u9762\u79efS=4\u03c0R2=4\u03c0.
\u70b9\u8bc4 \u5f53\u4e09\u68f1\u9525\u67d0\u4e00\u9876\u70b9\u5904\u7684\u4e09\u6761\u68f1\u4e24\u4e24\u5782\u76f4\u65f6\uff0c\u53ef\u5c06\u6b64\u4e09\u68f1\u9525\u89c6\u4e3a\u957f\u65b9\u4f53\u7684\u4e00\u89d2\uff0c\u8fdb\u800c\u501f\u52a9\u957f\u65b9\u4f53\u7684\u5916\u63a5\u7403\u6a21\u578b\u6765\u5b9e\u73b0\u6c42\u89e3.
\u4f8b3\uff082008\u5e74\u6d59\u6c5f\u5377\u740614\uff0c\u658715\uff09\u5982\u56fe3\uff0c\u5df2\u77e5\u7403O\u7684\u9762\u4e0a\u56db\u70b9A\uff0cB\uff0cC\uff0cD\uff0cDA\u22a5\u5e73\u9762ABC\uff0cAB\u22a5BC\uff0cDA=AB=BC=3\uff0c\u5219\u7403O\u7684\u4f53\u79ef\u7b49\u4e8e.
\u7b80\u89e3 \u5982\u56fe4\uff0c\u5c06\u539f\u4e09\u68f1\u9525\u8865\u5f62\u6210\u6b63\u65b9\u4f53\uff0c\u5176\u68f1\u957f\u4e3a3\uff0c\u6545\u7403O\u7684\u534a\u5f84R=3+3+32=32\uff0c\u5176\u4f53\u79efV=43\u03c0R3=92\u03c0.
\u70b9\u8bc4\u672c\u9898\u4e2d\uff0c\u4e09\u68f1\u9525D-ABC\u7684\u5e95\u9762\u0394ABC\u4e3a\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u8fc7\u9510\u89d2\u9876\u70b9A\u7684\u4fa7\u68f1\u4e0e\u5e95\u9762\u5782\u76f4\uff0c\u5177\u5907\u6b64\u51e0\u4f55\u7279\u5f81\u7684\u4e09\u68f1\u9525\uff08\u56db\u4e2a\u9762\u5747\u4e3a\u76f4\u89d2\u4e09\u89d2\u5f62\uff09\u5373\u53ef\u8865\u5f62\u6210\u957f\u65b9\u4f53.\u82e5\u8fc7\u5e95\u9762\u4e09\u89d2\u5f62\u7684\u76f4\u89d2\u9876\u70b9B\u7684\u4fa7\u68f1\u5782\u76f4\u4e8e\u5e95\u9762\uff0c\u5219\u6b64\u6a21\u578b\u5373\u4e3a\u4f8b1\u4e0e\u4f8b2\u4e2d\u7684\u4e09\u68f1\u9525.
\u4f8b4 \uff082013\u5e74\u8fbd\u5b81\u740610\uff0c\u658710\uff09\u5df2\u77e5\u76f4\u4e09\u68f1\u67f1ABC-A1B1C1\u76846\u4e2a\u9876\u70b9\u90fd\u5728\u7403O\u7684\u7403\u9762\u4e0a.\u82e5AB=3\uff0cAC=4\uff0cAB\u22a5AC\uff0cAA1=12\uff0c\u5219\u7403O\u7684\u534a\u5f84\u4e3a\uff08 \uff09.
A.3172 B.210 C.132 D.310
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提交时间：2022年11月27日22:33:21。
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绛旓細鍦嗗彴渚ч潰绉 S=1/2(c+c')l=pi(R+r)l 鐞冪殑琛ㄩ潰绉 S=4pi*r2 鍦嗘煴渚ч潰绉 S=c*h=2pi*h 鍦嗛敟渚ч潰绉 S=1/2*c*l=pi*r*l 寮ч暱鍏紡 l=a*r a鏄鍦嗗績瑙掔殑寮у害鏁皉 >0 鎵囧舰闈㈢Н鍏紡 s=1/2*l*r 閿ヤ綋浣撶Н鍏紡 V=1/3*S*H 鍦嗛敟浣撲綋绉叕寮 V=1/3*pi*r2h 鏂滄１鏌变綋绉 V=S'L 娉:鍏朵腑,S'...
绛旓細鍦嗗彴渚ч潰绉 S=1/2(c+c')l=pi(R+r)l 鐞冪殑琛ㄩ潰绉 S=4pi*r2 鍦嗘煴渚ч潰绉 S=c*h=2pi*h 鍦嗛敟渚ч潰绉 S=1/2*c*l=pi*r*l 寮ч暱鍏紡 l=a*r a鏄鍦嗗績瑙掔殑寮у害鏁皉 >0 鎵囧舰闈㈢Н鍏紡 s=1/2*l*r 閿ヤ綋浣撶Н鍏紡 V=1/3*S*H 鍦嗛敟浣撲綋绉叕寮 V=1/3*pi*r2h 鏂滄１鏌变綋绉 V=S'L 娉:鍏朵腑,S'...
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绛旓細鍦嗗彴渚ч潰绉 S=1/2(c+c')l=pi(R+r)l 鐞冪殑琛ㄩ潰绉 S=4pi*r2 鍦嗘煴渚ч潰绉 S=c*h=2pi*h 鍦嗛敟渚ч潰绉 S=1/2*c*l=pi*r*l 寮ч暱鍏紡 l=a*r a鏄鍦嗗績瑙掔殑寮у害鏁皉 >0 鎵囧舰闈㈢Н鍏紡 s=1/2*l*r 閿ヤ綋浣撶Н鍏紡 V=1/3*S*H 鍦嗛敟浣撲綋绉叕寮 V=1/3*pi*r2h 鏂滄１鏌变綋绉 V=S'L 娉:鍏朵腑,S'...
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绛旓細鍦嗗彴渚ч潰绉 S=1/2(c+c')l=pi(R+r)l 鐞冪殑琛ㄩ潰绉 S=4pi*r2 鍦嗘煴渚ч潰绉 S=c*h=2pi*h 鍦嗛敟渚ч潰绉 S=1/2*c*l=pi*r*l 寮ч暱鍏紡 l=a*r a鏄鍦嗗績瑙掔殑寮у害鏁皉 >0 鎵囧舰闈㈢Н鍏紡 s=1/2*l*r 閿ヤ綋浣撶Н鍏紡 V=1/3*S*H 鍦嗛敟浣撲綋绉叕寮 V=1/3*pi*r2h � 鏂滄１鏌变綋绉 V=S'L 娉:...
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绛旓細鍦嗗彴渚ч潰绉 S=1/2(c+c')l=pi(R+r)l 鐞冪殑琛ㄩ潰绉 S=4pi*r2 鍦嗘煴渚ч潰绉 S=c*h=2pi*h 鍦嗛敟渚ч潰绉 S=1/2*c*l=pi*r*l 寮ч暱鍏紡 l=a*r a鏄鍦嗗績瑙掔殑寮у害鏁皉 >0 鎵囧舰闈㈢Н鍏紡 s=1/2*l*r 閿ヤ綋浣撶Н鍏紡 V=1/3*S*H 鍦嗛敟浣撲綋绉叕寮 V=1/3*pi*r2h 鏂滄１鏌变綋绉 V=S'L 娉:鍏朵腑,S'...
