配套习题- 空集在集合运算中的重要地位 -【青果学院】

1/3单选题

难度：

1.已知集合A=

，且集合B=

，若

，则实数

的值是（）

A
B
C
D

正确答案：RA==

6Kej5p6Q77yaQT08aW1nIHdpZHRoPTI0NyBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC80OC9EMC9yQkFDRTFQSXM2M3lndnZYQUFBRGdGRzNuQWs5ODMucG5nIj7vvIxCPTxpbWcgd2lkdGg9MTcxIGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzQ4L0QwL3JCQUNFMVBJczYzeXp0c3hBQUFEa1RMZDFhQTY1Ni5wbmciPiw8YnI+4oi1PGltZyB3aWR0aD0zNiBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80OC9EMC9yQkFDRTFQSXM2MmcyNWplQUFBQmhuUGNKZHc0MDEucG5nIj7vvIzliJlCPTxpbWcgd2lkdGg9OSBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80OC9EMC9yQkFDRTFQSXM2M2llbDlZQUFBQk9rMEwteEE5OTEucG5nIj7miJZCPGltZyB3aWR0aD0yMyBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8wQi9COS9yQkFDRkZQSXM2MlFINWFPQUFBQllWU21zSTgwMjEucG5nIj7vvIzlvZNCPGltZyB3aWR0aD0yMyBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC80OC9EMC9yQkFDRTFQSXM2M3paZFBsQUFBQlRBS3VxS0k0MTUucG5nIj7ml7bvvIw8aW1nIHdpZHRoPTM4IGhlaWdodD0yMSBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzQ4L0QwL3JCQUNFMVBJczYzanloeWZBQUFCZldweWxGQTExMS5wbmciPjxicj7lvZNCPGltZyB3aWR0aD0yMyBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8wQi9COS9yQkFDRkZQSXM2MlFINWFPQUFBQllWU21zSTgwMjEucG5nIj7ml7bvvIw8aW1nIHdpZHRoPTkxIGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzBCL0JBL3JCQUNGRlBJczYyd08wNUVBQUFDSVg5Z0pVMDI3Ny5wbmciPu+8jOWNszxpbWcgd2lkdGg9OTMgaGVpZ2h0PTIxIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMEIvQjkvckJBQ0ZGUElzNjN3OG5UUEFBQUI1SFJVUTlJMDIxLnBuZyI+PGJyPue7vOS4iu+8jDxpbWcgd2lkdGg9MTQ4IGhlaWdodD0yMSBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzQ4L0QwL3JCQUNFMVBJczYyQ1c4VTRBQUFDUHlQVzg2ZzMzOS5wbmciPg==

2/3单选题

难度：

2.

设集合A=，B=，若，则实数的取值范围是（）

A	0
B
C
D	0

正确答案：Qw==

PHA+6Kej5p6Q77yaPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzBCL0JBL3JCQUNGRlBJczduZ3ZORXVBQUFCb0Z1eVRyMDU2Mi5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMEIvQkEvckJBQ0ZGUElzN25ndk5FdUFBQUJvRnV5VHIwNTYyLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjYwIj7vvIziiLQ8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDgvRDAvckJBQ0UxUElzNjJnMjVqZUFBQUJoblBjSmR3NDAxLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80OC9EMC9yQkFDRTFQSXM2MmcyNWplQUFBQmhuUGNKZHc0MDEucG5nIiBoZWlnaHQ9IjIxIiB3aWR0aD0iMzYiPu+8jOWImUI9PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ4L0QwL3JCQUNFMVBJczYzaWVsOVlBQUFCT2swTC14QTk5MS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDgvRDAvckJBQ0UxUElzNjNpZWw5WUFBQUJPazBMLXhBOTkxLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjkiPuaIlkI8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMEIvQjkvckJBQ0ZGUElzNjJRSDVhT0FBQUJZVlNtc0k4MDIxLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8wQi9COS9yQkFDRkZQSXM2MlFINWFPQUFBQllWU21zSTgwMjEucG5nIiBoZWlnaHQ9IjIxIiB3aWR0aD0iMjMiPjxicj5BPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ4L0QxL3JCQUNFMVBJczdxQkI5OUdBQUFEQlJkZTEtWTQ3MC5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDgvRDEvckJBQ0UxUElzN3FCQjk5R0FBQURCUmRlMS1ZNDcwLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjIyMyI+77yMQj08aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDgvRDEvckJBQ0UxUElzN21EVzhPcUFBQUNWMms5dGtBMzMwLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80OC9EMS9yQkFDRTFQSXM3bURXOE9xQUFBQ1Yyazl0a0EzMzAucG5nIiBoZWlnaHQ9IjIxIiB3aWR0aD0iMTE2Ij48YnI+5b2TQj08aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDgvRDAvckJBQ0UxUElzNjNpZWw5WUFBQUJPazBMLXhBOTkxLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80OC9EMC9yQkFDRTFQSXM2M2llbDlZQUFBQk9rMEwteEE5OTEucG5nIiBoZWlnaHQ9IjIxIiB3aWR0aD0iOSI+5pe277yMPGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzQ4L0QxL3JCQUNFMVBJczdyU2doOGpBQUFCdkVfaTJObzY3Ni5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvNDgvRDEvckJBQ0UxUElzN3JTZ2g4akFBQUJ2RV9pMk5vNjc2LnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjY3Ij7vvIzop6Plvpc8aW1nIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMEIvQkEvckJBQ0ZGUElzN3FpLWpoN0FBQUJmeDZzQmhnMTcwLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8wQi9CQS9yQkFDRkZQSXM3cWktamg3QUFBQmZ4NnNCaGcxNzAucG5nIiBoZWlnaHQ9IjIxIiB3aWR0aD0iMzQiPu+8jDxicj7lvZNCPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzBCL0I5L3JCQUNGRlBJczYyUUg1YU9BQUFCWVZTbXNJODAyMS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMEIvQjkvckJBQ0ZGUElzNjJRSDVhT0FBQUJZVlNtc0k4MDIxLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjIzIj7ml7bvvIw8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvODMvNjYvckJBQ0UxUFhaZERoNURyNkFBQUY3V0ZMcVJzNzIyLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC84My82Ni9yQkFDRTFQWFpkRGg1RHI2QUFBRjdXRkxxUnM3MjIucG5nIiBhbHQ9IiIgc3R5bGU9IndpZHRoOiAxMTFweDsgaGVpZ2h0OiA3M3B4OyI+77yM6Kej5b6XPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzBCL0JBL3JCQUNGRlBJczdxeGdlelZBQUFCdDJWc05NQTk2Ni5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMEIvQkEvckJBQ0ZGUElzN3F4Z2V6VkFBQUJ0MlZzTk1BOTY2LnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjYwIj7vvIw8YnI+57u85LiK77yM5a6e5pWwPGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzBCL0JBL3JCQUNGRlBJczdyeWdleHlBQUFCSHlid2swVTg5MS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMEIvQkEvckJBQ0ZGUElzN3J5Z2V4eUFBQUJIeWJ3azBVODkxLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjgiPueahOWPluWAvOiMg+WbtOaYrzxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80OC9EMS9yQkFDRTFQSXM3cVFUdE8xQUFBQmYyMV81SEUwMjUucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ4L0QxL3JCQUNFMVBJczdxUVR0TzFBQUFCZjIxXzVIRTAyNS5wbmciIGhlaWdodD0iMjEiIHdpZHRoPSIzNCI+PC9wPg==

3/3单选题

难度：

3.

设A=，B=，若，则实数（）

A	`a`=1或`a`=7
B	`a`=1或`a`=−1
C	`a`≤−1或`a`=1或`a`=7
D	或

正确答案：RA==

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