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单选题下列命题公式为三个命题变元P、Q、R的极大项是( )

A. P∧Q∧R

B. P∨Q∨R

C. P∧P∨R

D. P∨P∨Q

离散数学课程封面

学科：离散数学

时间：2024-04-09 03:57:32

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下列命题公式为简单合取式的是( )

A. P∧Q∧<img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">PB. P∨QC. <img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">P∨QD. <img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">P∨P∨Q

下列命题公式为简单析取式的是( )

A. <img src="https://p.ananas.chaoxing.com/star3/origin/bc0821b393c5031866001c7a2f314442.png">B. <img src="https://p.ananas.chaoxing.com/star3/origin/cd798b5b95bb804c16339c2830dd656e.png">C. <img src="https://p.ananas.chaoxing.com/star3/origin/ce222e43644f16b0af00b51bbbcd1a5c.png">D. <img src="https://p.ananas.chaoxing.com/star3/origin/a8b4fc05dd6e8845c23c218264247a01.png">

下列命题公式为两个命题变元P、Q的极小项是( )

A. P∧Q∧PB. <img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">P∨QC. <img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">P∧QD. <img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">P∨P∨Q

下列命题公式为三个命题变元P、Q、R的极小项是( )

A. P∧<img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">Q∧RB. <img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">P∨Q∧RC. <img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">P∧P∨RD. <img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">P∨P∨Q

下列属于两个命题变元 P,Q的大项的是( )

A. <img src="https://p.ananas.chaoxing.com/star3/origin/8476c61a5d792bba136b51c8ed459e17.png">B. <img src="https://p.ananas.chaoxing.com/star3/origin/288ec18b52315585e8ba7dab1a1a63c3.png">C. <img src="https://p.ananas.chaoxing.com/star3/origin/350307bb95dcb82335b1ee16e261b210.png">D. <img src="https://p.ananas.chaoxing.com/star3/origin/19676c825ec577095d76a99702527702.png">

下列命题公式为三个命题变元P、Q、R的极大项是( )

A. P∧<img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">Q∧RB. <img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">P∨Q∨RC. <img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">P∧P∨RD. <img src="https://p.ananas.chaoxing.com/star3/origin/65575fea2e3492ae5a310be86a798d4e.png">P∨P∨Q

三个命题变项可产生不同的极大项的个数为( )

A. 5B. 6C. 8D. 16

下列命题公式中不是既属于析取范式又属于合取范式的是____<img src="https://p.ananas.chaoxing.com/star3/origin/3ec085c3e3e23899580812de79664110.png"> <img src="https://p.ananas.chaoxing.com/star3/origin/09e07ca6cccf7eec8b586d2952147d66.png"> <img src="https://p.ananas.chaoxing.com/star3/origin/335aa58325d7f9dc0ae75f4e400eaeec.png"> <img src="https://p.ananas.chaoxing.com/star3/origin/02280a1a7bfa8f1965e94b1e3c28c0b6.png">

由<img src="https://p.ananas.chaoxing.com/star3/origin/44f9c86ff07e9b0c6fdeddd4bf0b8bdb.png">三个变元构成的极小项<img src="https://p.ananas.chaoxing.com/star3/origin/3e170ac0cbbe006f08096bd4116494fa.png">可以表示为____.<img src="https://p.ananas.chaoxing.com/star3/origin/a3483ecb94c5e72579e50148a776d37f.png"> <img src="https://p.ananas.chaoxing.com/star3/origin/10f949b8ab261916019eb550b9196a70.png"> <img src="https://p.ananas.chaoxing.com/star3/origin/58c00952c3a52ef45cf28abd78921a42.png"> <img src="https://p.ananas.chaoxing.com/star3/origin/fde852924b8b38cc7a02e0aef4f63409.png">

由<img src="https://p.ananas.chaoxing.com/star3/origin/44f9c86ff07e9b0c6fdeddd4bf0b8bdb.png">三个变元构成的极大项<img src="https://p.ananas.chaoxing.com/star3/origin/a967d777b5dea728be4c53a635813b0f.png">可以表示为____.<img src="https://p.ananas.chaoxing.com/star3/origin/a3483ecb94c5e72579e50148a776d37f.png"> <img src="https://p.ananas.chaoxing.com/star3/origin/10f949b8ab261916019eb550b9196a70.png"> <img src="https://p.ananas.chaoxing.com/star3/origin/58c00952c3a52ef45cf28abd78921a42.png"> <img src="https://p.ananas.chaoxing.com/star3/origin/fde852924b8b38cc7a02e0aef4f63409.png">

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