電大離散數(shù)學(xué)作業(yè)3答案資料小抄(集合論部分)-在線瀏覽
2025-08-09 03:33本頁面
【正文】 4 6 5 7 8 關(guān)系 R 的哈斯圖 ★ 形成性考核 作業(yè) ★ 4 反之，若 x∈ (A?B) ? (A?C)，則 x∈ A?B 且 x∈ A?C， 即 x∈ A 或 x∈ B 且 x∈ A 或 x∈ C， 即 x∈ A 或 x∈ B?C， 即 x∈ A? (B?C)， 所以 (A?B) ? (A?C)? A? (B?C)． 因此． A? (B?C)=(A?B) ? (A?C)． 2．試證明集合等 式 A? (B?C)=(A?B) ? (A?C)． 證明：設(shè) S=A∩ (B∪ C)， T=(A∩ B)∪ (A∩ C)， 若 x∈ S，則 x∈ A 且 x∈ B∪ C，即 x∈ A 且 x∈ B 或 x∈ A 且 x∈ C， 也即 x∈ A∩ B 或 x∈ A∩ C ，即 x∈ T，所以 S?T． 反之，若 x∈ T，則 x∈ A∩ B 或 x∈ A∩ C， 即 x∈ A 且 x∈ B 或 x∈ A 且 x∈ C 也即 x∈ A 且 x∈ B∪ C，即 x∈ S， 所以 T?S． 因此 T=S． 3． 對任意三個集合 A, B 和 C，試證 明： 若 A? B = A? C，且 A? ? ，則 B = C． 證明 ： 設(shè) x?A， y?B，則 x， y?A?B， 因為 A?B = A?C，故 x， y? A?C，則有 y?C， 所以 B ? C． 設(shè) x?A， z?C，則 x， z? A?C， 因為 A?B = A?C，故 x， z?A?B，則有 z?B，所以 C?B． 故得 A=B． 4． 試證明：若 R 與 S 是集合 A 上的自反關(guān)系，則 R∩S 也是集合 A 上的自反關(guān)系 ． R1和 R2是自反的 ， ?x ?A， x, x ? R1， x, x ?R2， 則 x, x ? R1∩R2， 所以 R1∩R2是自反的 ． ★ 形成性考核 作業(yè) ★ 5 請您刪除一下內(nèi)容 ， O(∩ _∩ )O謝謝 ?。?！ 【 China39。s animation outpouring that are not to be missed. Let39。 violence, and lack of suitability for children39。s real name was Nasreddin. He was wise and witty and, more importantly, he had the courage to resist the exploitation of noblemen. He was also full of passion and tried his best to help poor people. Adventure of Shuke and Beita【舒克與貝塔】 Adventure of Shuke and Beita (Chinese: 舒克和貝塔 ) is a classic animation by Zheng Yuanjie, who is known as King of Fairy Tales in China. Shuke and Beita are two mice who don39。s contents on the stone wall of a white cloud cave in the mountains. He was then punished with guarding the book for life by the jade emperor for breaking heaven39。s natural scenery. Pleasant Goat and Big Big Wolf【喜洋洋與灰太狼】 Pleasant Goat and Big Big Wolf (Chinese:喜羊羊與灰 太狼 ) is a Chinese animated television series. The show is about a group of goats living on the Green Pasture, and the story revolves around a clumsy wolf who wants to eat them. It is a popular domestic animation series and has been adapted into movies. Nezha Conquers the Dragon King（ Chinese: 哪吒鬧海） is an outstanding animation issued by the Ministry of Culture in 1979 and is based on an episode from the Chinese mythological novel Fengshen Yanyi. A mother gave birth to a
試題試卷相關(guān)推薦
鄂ICP備17016276號-1