【正文】 關(guān)系 R， R={〈 1， 1〉，〈 1， 4〉，〈 2， 2〉，〈 2， 3〉，〈 3， 2〉，〈 3， 3〉，〈 4， 1〉，〈 4， 4〉 }，說明 R 是 A上的等價(jià)關(guān)系。 7． 已知 A、 B、 C 是三個(gè)集合，證明 A(B∪ C)=(AB)∩ (AC) 證明 ∵ x? A（ B∪ C） ? x? A∧ x?（ B∪ C） ? x? A∧（ x?B∧ x?C） ? （ x? A∧ x?B）∧（ x? A∧ x?C） ? x?（ AB）∧ x?（ AC） ? x?（ AB）∩（ AC）∴ A（ B∪ C） =（ AB）∩（ AC） 8．（ 15 分）設(shè) A， *是半群，對(duì) A 中任意元 a 和 b，如 a≠ b 必有 a*b≠ b*a，證明： (1)對(duì) A 中每個(gè)元 a，有 a*a＝ a。 證明：把邊長為 1 的正方形分成四個(gè)全等的小正方形，則至少有一個(gè)小正方形內(nèi)有三個(gè)點(diǎn)，它們組成 的三角形（可能是退化的）面積不超過小正方形的一半，即 1/8。s education. Proponents of the show claim that it is merely for entertainment. Effendi Effendi, meaning sir and teacher in Turkish, is the respectful name for people who own wisdom and knowledge. The hero39。s trip to the West to take the Buddhistic sutra. They met a white bone evil, and the evil transformed human appearances three times to seduce the monk. Twice Monkey King recognized it and brought it down. The monk was unable to recognize the monster and expelled Sun Wukong. Xuan Zang was then captured by the monster. Fortunately Bajie, another apprentice of Xuan Zang, escaped and persuaded the Monkey King to e rescue the monk. Finally, Sun kills the evil and saves Xuan Zang. The outstanding animation has received a variety of awards, including the 6th Hundred Flowers Festival Award and the Chicago International Children39。s law. In order to pass this holy book to human beings, he would have to get by the antagonist fox. The whole animation is characterized by charming Chinese painting, including pavilions, ancient architecture, rippling streams and crowded markets, which fully demonstrate the unique beauty of China39。s 10 mustsee animations】 The Chinese animation industry has seen considerable growth in the last several years. It went through a golden age in the late 1970s and 1980s when successively brilliant animation work was produced. Here are 10 mustsee classics from China39。 (1)由 (a*a)*a＝ a*(a*a)，所以 a*a＝ a。 因有 2,3與 3,4屬于 R，但 2,4不屬于 R，所以 R 在 A 上不是傳遞的。 2．命題公式（ P→ Q） ? P的主合取范式為 )()( QPQP ???? 。 1 / 11 電大 離散數(shù)學(xué)（ 本 ） 期末復(fù)習(xí)資料小抄 一、單項(xiàng)選擇題 1．設(shè) P： a 是偶數(shù)， Q： b 是偶數(shù)。 3．設(shè)集合 A={? ， {a}}，則 P（ A） = }}}{,{}},{{},{,{ aa ??? 。 14．求 P?Q?R 的析取范式，合取范式、 主析取范式，主合取范式． P→（ R∨ Q） ?┐ P∨ (R∨ Q) ? ┐ P∨ Q∨ R （析取、合取、主合取范式） ?(┐ P∧┐ Q∧┐ R)∨ (┐ P∧┐ Q∧ R) ∨ (┐ P∧ Q∧ R) ∨ (P∧┐ Q∧┐ R) ∨ (P∧┐ Q∧ R) ∨ (P∧ Q∧┐ R) ∨ (P∧ Q∧ R) （主析取范式） 15．設(shè)圖 G=V， E， V={ v1， v2， v3， v4， v5}， E={ (v1, v2)， (v1, v3)， (v2, v3)， (v2, v4)， (v3, v4)， (v3, v5)， (v4, v5) }，試 (1) 畫出 G 的圖形表示； (2) 寫出其鄰接矩陣； (3) 求出每個(gè)結(jié)點(diǎn)的度數(shù)； (4) 畫出圖 G 的補(bǔ)圖的圖形． （ 1）關(guān)系圖 （ 2）鄰接矩陣 ????????????????0110010110110110110100110 （ 3） deg(v1)=2 deg(v2)=3 deg(v3)=4 deg(v4)=3 deg(v5)=2 （ 4） 補(bǔ)圖 16．設(shè)謂詞公式 ?x(A(x,y)∧ ? zB(x,y, z)) ∧ ? yC(y,z) 試 (1)寫出量詞的轄域 。 (2)由 a*(a*b*a)＝ (a*a)*(b*a)＝ a*b*(a*a)＝ (a*b*a)*a，所以有 a*b*a＝ a。s animation outpouring that are not to be missed. Let39。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 ball of flesh shaped like a lotus bud. The father, Li Jing, chopped open the ball, and beautiful boy, Nezha, sprung out. One day, when Nezha was seven years old, he went to the nearby seashore for a swim and killed the third son of the Dragon King who was persecuting local residents. The story primarily revolves around the Dragon King39。s death. Through bravery and wit, Nezha finally broke into the underwater palace and successfully defeated him. The film shows various kinds of attractive sceneries and the traditional culture of China, such as spectacular mountains, elegant sea waves and exquisite ancient Chinese clothes. It has received a variety of awards. Havoc in Heaven The story of Havoc in Heaven（ Chinese: 大鬧天宮） is based on the earliest chapters of the classic story Journey to the West. The main character is Sun Wukong, aka the Monkey King, who rebels against the Jade Emperor of heaven. The stylized animation and drums and percussion acpaniment used in this film are heavily influenced b