【难题】一道初中的奥数题求解
\u51e0\u9053\u6709\u70b9\u56f0\u96be\u521d\u4e2d\u7684\u6570\u5b66\u9898\uff0c\u5e2e\u5fd9\u89e3\u51b3\u4e00\u4e0b1.14+13+12+\u2026\u2026+2+1\uff09+\uff082010+2010*2+2010*3+\u2026\u20262010*14\uff09=105+2010*105=211155
2.\u4e00\u517149\u4e2a\u5faa\u73af\uff0c\u5177\u4f53\u770b\u4e0d\u61c2
3.\u7b2c\u4e00\u9879\u548c\u6700\u540e\u4e00\u9879\u76f8\u52a0\u7b49\u4e8e1\uff0c\u4e00\u5171\u662f4\u4e2a1\uff0c\u7b54\u6848\u662f4
4.350
5.\u7b2c\u4e00\u9879\u548c\u6700\u540e\u4e00\u9879\u76f8\u52a0\u9664\u4ee57\u4f59\u6570\u4e3a0\uff0c20031/11=1821\uff0c\u4e5f\u662f\u5c31\u4e00\u51711821\u9879\uff0c\u9996\u5c3e1820\u9879\u7684\u548c\u9664\u4ee57\u90fd\u4f590\uff0c\u4e2d\u95f4\u7b2c911\u9879\u662f10021\uff0c\u9664\u4ee57\u4f59\u65704\uff0c\u7b54\u6848\u5c31\u662f4
6.3a+2=6b+5=8c+7,\u770ba\u548cc\uff0c\u82e5c=1\uff0c\u4e0d\u5b58\u5728a\uff0cc=2\uff0ca=7\uff0cc=3\uff0ca\u4e0d\u5b58\u5728\uff0cc\u518d\u5927\u7684\u8bdd\uff0ca\u80af\u5b9a\u5927\u4e8e10\u4e86\uff0c\u6240\u4ee5a=7,b=3,c=2\u7b54\u6848\u662f5
7.1/455+2/455+\u2026\u2026454/455=1/455\uff081+2+\u2026\u2026454\uff09=227\uff0c\u4e5f\u53ef\u4ee5\u9996\u5c3e\u76f8\u52a0
8.\uff082010+2009\uff09/\uff082010-2009\uff09=4019
\u8bbe\u5c0f\u674e\u7684\u901f\u5ea6\u4e3ax\u5343\u7c73/\u5c0f\u65f6\uff0c\u6bd4\u8d5b\u5168\u7a0b\u4e3ay\u5343\u7c73
\u5219\uff1a\u5c0f\u738b\u7684\u901f\u5ea6\u4e3a(x+1)\u5343\u7c73/\u5c0f\u65f6\uff0c\u5c0f\u5f20\u7684\u901f\u5ea6\u4e3a(x+1+5)\u5343\u7c73/\u5c0f\u65f6
y/(x+1)-y/(x+1+5)=12/60
y/x-y/(x+1)=3/60
\u89e3\u5f97\uff1ax=24
y=30
\u7b54\uff1a\u4ed6\u4eec\u4e09\u4eba\u8fdb\u884c\u81ea\u884c\u8f66\u6bd4\u8d5b\u7684\u8def\u7a0b\u4e3a30\u5343\u7c73\u3002
汽车与人会和3次，
当时人走了1-8/11*8/11*8/11=819/11^3
时间为819*3/121*5
汽车又开了8^3/11^3*33/55
答案不重要，重要的是分析他们的运动
120分之187
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绛旓細鍒欑涓鍧楁湁 10x-mx+my閾 绗簩鍧楁湁 15y-my+mx閾 (10x-mx+my)/10=(15y-my+mx)/15 30x-3mx+3my=30y-2my+2mx 30x-30y=5mx-5my 30(x-y)=5m(x-y)鎵浠=6
绛旓細绗竴娆¤繍閫佸苟鎺ョ浜屾壒锛氶渶瑕佹椂闂磘1=2*33/锛55+5锛=1.1 h 姝ゆ椂绂诲嚭鍙戠偣璺濈s1=t1*5=5.5 km 绗簩娆¤繍閫佸苟鎺ョ涓夋壒锛氶渶瑕佹椂闂磘2=2*(33-5.5)/(55+5)=11/12 h 姝ゆ椂绂诲嚭鍙戠偣s2=s1+t2*5=121/12 km 绗笁娆¤繍閫佸苟鎺ョ鍥涙壒锛氶渶瑕佹椂闂磘3=2*(33-s2)/(55+5)=55/72 h ...
绛旓細鐮旂┒琛岀▼鍙彂鐜帮紝杞︿笌浜虹殑鐩搁亣鐐规绘槸浠栦滑鍓嶄竴娆″垎寮鐨2/11 姹借溅涓庝汉浼氬拰3娆★紝褰撴椂浜鸿蛋浜1-8/11*8/11*8/11=819/11^3 鏃堕棿涓819*3/121*5 姹借溅鍙堝紑浜8^3/11^3*33/55 绛旀涓嶉噸瑕侊紝閲嶈鐨勬槸鍒嗘瀽浠栦滑鐨勮繍鍔
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绛旓細1.瑙ｏ細璁惧悇瑁呮补x鍗冨厠銆傚垯 [(1-25%)x-8]/[(1-40%)x+8]=13/14 x=80 2.瑙ｏ細璁炬昏矾绋嬩负x km銆傚垯 40%x-25%x=3 x=20 (1-40%-25%)x=7 3.瑙ｏ細鐢遍鎰忕殑 S鐢诧細S涔=4锛3 T鐢诧細T涔=3锛4 鎵浠 V鐢诧細V涔=16锛9 鍥犱负鐢茶蛋1080m 鎵浠涔=607.5 4.瑙ｏ細璁句箼姣忓ぉ鍋歺涓...
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