南非世界杯足球賽正在進(jìn)行,假設(shè)A、B、C三個(gè)足球隊(duì)進(jìn)行比賽,每?jī)申?duì)賽一場(chǎng).按規(guī)則每勝一場(chǎng)得3分,平一場(chǎng)得1分,負(fù)一場(chǎng)得0人,現(xiàn)已知:
(1)B隊(duì)一球未進(jìn),結(jié)果得1分.
(2)A、C兩隊(duì)各勝一場(chǎng),且C隊(duì)結(jié)果得3分,求A隊(duì)結(jié)果得幾分,并簡(jiǎn)單說(shuō)明理由.
分析:A、B、C三個(gè)足球隊(duì)進(jìn)行比賽,每?jī)申?duì)賽一場(chǎng),則每個(gè)隊(duì)都要與其它隊(duì)賽一場(chǎng),每隊(duì)共賽兩場(chǎng),由于每勝一場(chǎng)得3分,平一場(chǎng)得1分,負(fù)一場(chǎng)得0分,已知B隊(duì)一球未進(jìn),結(jié)果得1分,即B隊(duì)一負(fù)一平,且平局為0:0;C隊(duì)勝一場(chǎng),共得3分,則C隊(duì)一勝一負(fù);已知A隊(duì)已勝一局,則另一局和B隊(duì)0:0戰(zhàn)平,即一勝一平得3+1=4分.
解答:解:由題意可知,每隊(duì)都要進(jìn)行兩場(chǎng)比賽,
已知每勝一場(chǎng)得3分,平一場(chǎng)得1分,負(fù)一場(chǎng)得0分.
由于B隊(duì)一球未進(jìn),結(jié)果得1分,所以B隊(duì)一負(fù)一平,且平局為0:0;
C隊(duì)勝一場(chǎng),共得3分,則C隊(duì)一勝一負(fù);
已知A隊(duì)已勝一局,則另一局和B隊(duì)0:0戰(zhàn)平,
即一勝一平得3+1=4分.
點(diǎn)評(píng):根據(jù)每隊(duì)賽的場(chǎng)數(shù)及所得分?jǐn)?shù)之間的邏輯關(guān)系進(jìn)行推理是完成本題的關(guān)鍵.
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