两道比较有意思的数学题

两道比较有意思的数学题 比较有意思的数学题 1、探险家在一次探险中发现了一个原始部落的遗迹，根据发现的结果明，这个部落所用算术中的符号“+”、“-”、“×”、“?”、“( )”、“=”与我们所学算术中的符号用法相同，也是十进制(虽然每个数与我们的写法相同，但表示的实际值却不同，下面有几个原始部落的算式:8×8×8=8;9×9×9=5;9×3=3;(93+8)×7=837(请你按这个原始部落的算术计算89×57的结果应为( ) A(5073 B(1020 C(8393 D(无法确定 考点:方程思想(换位思想。 分析:首先设8=a，9=b，5=c，3=d，7=e，然后根据已知条件得到方程a3=a，b3=c，2d=d，(20+1)e=100+e，解方程即可求出8，9，5，3，7别表示1，2，8，0，5，然后即可求解( 解答:解:设8=a，9=b，5=c，3=d，7=e， 则:a3=a， ?a=1; ?b3=c， ?b=2，c=8 ?2d=d， ?d=0 ?(20+1)e=100+e， ?e=5 即:8，9，5，3，7别表示1，2，8，0，5 anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership ?89×57可表示为12×85=1020 而1020按原始部落的算术规则可表示为8393( 故选C( 点评:此题主要考查了整数的十进制表示法，解题的关键是读懂题意，准确把握题目隐含的数量关系，然后利用数量关系列出方程解决问题( 探险家在一次探险中发现了一个原始部落的遗迹，根据发现的结果表明，这个部落所用算术中的符号“+”、“-”、“×”、“?”、“( )”、“=”与我们所学算术中的符号用法相同，也是十进制(虽然每个数与我们的写法相同，但表示的实际值却不同，下面有几个原始部落的算式:8×8×8=8;9×9×9=5;9×3=3;(93+8)×7=837(请你按这个原始部落的算术规则计算89×57的结果应为( ) A(5073 B(1020 C(8393 D(无法确定 考点:整数的十进制表示法(专题:计算题;方程思想(分析:首先设8=a，9=b，5=c，3=d，7=e，然后根据已知条件得到方程a3=a，b3=c，2d=d，(20+1)e=100+e，解方程即可求出8，9，5，3，7别表示1，2，8，0，5，然后即可求解(解答:解:设8=a，9=b，5=c，3=d，7=e， 3则:a=a， ?a=1; anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership 3?b=c， ?b=2，c=8 ?2d=d， ?d=0 ?(20+1)e=100+e， ?e=5 即:8，9，5，3，7别表示1，2，8，0，5 ?89×57可表示为12×85=1020 而1020按原始部落的算术规则可表示为8393( 故选C(点评:此题主要考查了整数的十进制表示法，解题的关键是读懂题意，准确把握题目隐含的数量关系，然后利用数量关系列出方程解决问题( 如图，算式中每个汉字代表0，l，2，…，9中的一个数字，不同的汉字代表不同的数字(那么其中的“新”字代表( ) A(9 B(8 C(2 D(1 客到新大新 × 新 新大新到客 分析:“新×新”得到积的个位是客，所以“客“是一个平方数的尾数(再利用五位数乘一位数结果还是五位数，且客*新=新，得到“客”的值为1( anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership 解答:解:客*新=新，所以客=1?“客”是平方数的尾数。? 所以“新”=9( 故选A( 点评:解答汉字代表不同的数字乘法问题时，要以数字的乘法为基础，进行推理得到( 五位数乘一位数数得的结果还是五位数，没有进位。 客*新=新，所以客=1， ?“客”是平方数的尾数?只有9的平方数的尾数是1，所以新是9. 这个数是10989*9=98901 这道题要是考“到”表示多少，还有较大意思，必须算出全部数字，考“新”表示多少，两步就可算出。 如果新是9，客*新=新，说明 到*新不进位，到只有等于0，才能保证不进位。 假设新=1，则客=1，与条件不符。 假设新=2，则客=4，客*新=8，不等新，与条件不符。 假设新=3，则客=9,3*9=27，发生进位，与条件不符。 假设新=4，则客=6，4*6=24，发生进位，与条件不符。 假设新=5，则客=5，与条件不符。 假设新=6，则客=6，与条件不符。 假设新=7，则客=9.7*9=63，发生进位，与条件不符。 anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership 假设新=8，则客=4,8*4=32，发生进位，与条件不符。 假设新=9，则客=1，要保证不进位，到只有=0，数字为10989. anti-Japanese patriotism. Under the influence of the party, Zhu, Wang, acting in strict discipline, political, military quality and combat effectiveness has improved. As well as youth service corps, women's service and young pioneers, countryside-Japanese performance, posting anti-Japanese slogans, operate private schools, literacy classes, founder of the iron, and the tongue and the sound, sparks and other anti-Japanese mimeographed tabloid, actively promote anti-Japanese. Hanchang recovery after the party, that is, "Jiangnan anti-Japanese guerrilla people save," Shen Yingjie, Xu Azhen to participate in development of the Chinese Communist Party, in October and set up a water party group in Hong Kong, Han chang long party group. Meanwhile, Xu on cleaning two wannan, demanding new army deployed cadres, and have sent many new progressive youth to receive training. On November 9, sheng, Wu Xing, Nanxun, jiaxing, Tongxiang, Zonta, Hangzhou, wukang strongholds such as Elves, nearly all men, together with the aircraft, boats, Zhu Xi Lu, pouncing on troop locations. 10th, the enemies have invaded yan Tomb, Xin Cheng, Wuzhen. 11th, Zhu Xi army pier at Bell House was surrounded by the enemy, break, casualties will be great, CPC party member Xu, Xu Quansheng, really so magnificent and head of three Wang Yulin, also died in the battle. Zhu Xi withdrew the remnants of more than 400 people back to Xiao Feng integration. Jie Xu with the new cadres, Communist party Mr CHOW (Zhou kangyu) came from southern Anhui. Zhu Xi Wei CHOY for staff officers. The end of unified leadership