1/5单选题
难度：
1.一圆锥的侧面展开图是圆心角为120°、半径为6cm的扇形，则此圆锥的侧面积为（ ）
| A | 4πcm2 |
| B | 12πcm2 |
| C | 16πcm2 |
| D | 28πcm2 |
- 提示1：
- IOebtOaOpeWIqeeUqOaJh+W9oumdouenr+WFrOW8jzxpbWcgd2lkdGg9MzEgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvM0YvckJBQ0UxTU1VTWV6RXBUa0FBQUI5elJxT3RnMDQ2LnBuZyI+6K6h566X5b6X5Ye65ZyG6ZSl55qE5L6n6Z2i56evLg==
正确答案：Qg==
PGRpdj7op6PvvJriiLXkuIDlnIbplKXnmoTkvqfpnaLlsZXlvIDlm77mmK/lnIblv4Pop5LkuLoxMjDCsOOAgeWNiuW+hOS4ujZjbeeahOaJh+W9ou+8jDwvZGl2PjxkaXY+4oi0PGltZyB3aWR0aD0zMjQgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvM0YvckJBQ0UxTU1VTWVETE5yWEFBQUZsRDF4RlY4MjgwLnBuZyI+PC9kaXY+PGRpdj7mlYXpgIlCLiA8L2Rpdj4=
2/5单选题
难度：
2.一个圆锥的底面半径为6cm，圆锥侧面展开图扇形的圆心角为240°，则圆锥的母线长为（ ）
| A | 9cm |
| B | 12cm |
| C | 15cm |
| D | 18cm |
- 提示1：
- IOaxguWchumUpeeahOW6lemdouWRqOmVvzxpbWcgd2lkdGg9MjIgaGVpZ2h0PTIxIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvM0YvckJBQ0UxTU1VTXlnR2ZBSUFBQUJXemtraHZnODExLnBuZyI+77yb
- 提示2：
- IOWIqeeUqOWxleW8gOWbvuW8p+mVv+WFrOW8jzxpbWcgd2lkdGg9MjcgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMDAvNTEvckJBQ0ZGTU1VTXpnbXRMTUFBQUJzVHlxSkNnNjc2LnBuZyI+77yb
- 提示3：
- IOWIqeeUqOWchumUpeeahOW6lemdouWRqOmVvz3lsZXlvIDlm77lvKfplb/vvIzlu7rnq4vnrYnlvI/jgII=
正确答案：QQ==
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
3/5单选题
难度：
3.一个圆锥的左视图是一个正三角形，则这个圆锥的侧面展开图的圆心角等于（ ）
| A | 60° |
| B | 90° |
| C | 120° |
| D | 180° |
- 提示1：
- IOaxguWchumUpeeahOW6lemdouWRqOmVvzxpbWcgd2lkdGg9MjIgaGVpZ2h0PTIxIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvM0YvckJBQ0UxTU1VTXlnR2ZBSUFBQUJXemtraHZnODExLnBuZyI+77yb
- 提示2：
- IOWIqeeUqOWxleW8gOWbvuW8p+mVv+WFrOW8jzxpbWcgd2lkdGg9MjcgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMDAvNTEvckJBQ0ZGTU1VTXpnbXRMTUFBQUJzVHlxSkNnNjc2LnBuZyI+77yb
- 提示3：
- IOWIqeeUqOWchumUpeeahOW6lemdouWRqOmVvz3lsZXlvIDlm77lvKfplb/vvIzlu7rnq4vnrYnlvI/jgII=
正确答案：RA==
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
4/5单选题
难度：
4.
用圆心角为120°，半径为6cm的扇形纸片卷成一个圆锥形无底纸帽（如图所示），则这个纸帽的高是（）
| A |
|
| B |
|
| C |
|
| D |
|
- 提示1：
- PHA+5Yip55So5omH5b2i55qE5byn6ZW/5YWs5byPPGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzAwLzUxL3JCQUNGRk1NVU16Z210TE1BQUFCc1R5cUpDZzY3Ni5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMDAvNTEvckJBQ0ZGTU1VTXpnbXRMTUFBQUJzVHlxSkNnNjc2LnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjI3Ij4s5Y+v5b6X5omH5b2i55qE5byn6ZW/77ybPC9wPg==
- 提示2：
- PHA+5omH5b2i55qE5byn6ZW/6Zmk5LulMs+A5Y2z5Li65ZyG6ZSl55qE5bqV6Z2i5Y2K5b6EOzwvcD4=
- 提示3：
- PHA+5Yip55So5Yu+6IKh5a6a55CG5Y+v5b6X5ZyG6ZSl5b2i562S55qE6auYLjwvcD4=
正确答案：Qw==
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
5/5单选题
难度：
5.
如图，圆锥的底面半径为5，母线长为20，一只蜘蛛从底面圆周上一点A出发沿圆锥的侧面爬行一周后回到点A的最短路程是（ ）
| A | 8 |
| B |
|
| C |
|
| D |
|
- 提示1：
- PHA+5rGC5ZyG6ZSl55qE5bqV6Z2i5ZGo6ZW/PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzIzLzNGL3JCQUNFMU1NVU15Z0dmQUlBQUFCV3pra2h2ZzgxMS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvM0YvckJBQ0UxTU1VTXlnR2ZBSUFBQUJXemtraHZnODExLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjIyIj7vvJs8L3A+
- 提示2：
- PHA+5Yip55So5bGV5byA5Zu+5byn6ZW/5YWs5byPPGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzAwLzUxL3JCQUNGRk1NVU16Z210TE1BQUFCc1R5cUpDZzY3Ni5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMDAvNTEvckJBQ0ZGTU1VTXpnbXRMTUFBQUJzVHlxSkNnNjc2LnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjI3Ij7vvJs8L3A+
- 提示3：
- PHA+5Yip55So5ZyG6ZSl55qE5bqV6Z2i5ZGo6ZW/PeWxleW8gOWbvuW8p+mVv++8jOW7uueri+etieW8j+axguWchuW/g+inku+8mzwvcD4=
- 提示4：
- PHA+5p6E6YCg55u06KeS5LiJ6KeS5b2i5rGC5b6X55u45bqU57q/5q6144CCPC9wPg==
正确答案：RA==
PGRpdj7op6PvvJrorr7lupXpnaLlnIbnmoTljYrlvoTkuLpy77yM5YiZ5ZyG6ZSl55qE5q+N57q/6ZW/5Li6Uu+8jDwvZGl2PjxkaXY+5bqV6Z2i5ZGo6ZW/PTxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8yMy8zRi9yQkFDRTFNTVVNeWdHZkFJQUFBQld6a2todmc4MTEucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzIzLzNGL3JCQUNFMU1NVU15Z0dmQUlBQUFCV3pra2h2ZzgxMS5wbmciIGhlaWdodD0iMjEiIHdpZHRoPSIyMiI+77yMPGJyPuS+p+mdouWxleW8gOWbvuaYr+S4quaJh+W9ou+8jOW8p+mVvzxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8wMC81Mi9yQkFDRkZNTVVNLVFDUnZOQUFBQjREMHJONGM2MjEucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzAwLzUyL3JCQUNGRk1NVU0tUUNSdk5BQUFCNEQwck40YzYyMS5wbmciIGhlaWdodD0iNDIiIHdpZHRoPSIzOCI+PC9kaXY+PGRpdj7moLnmja7lnIbplKXnmoTlupXpnaLlkajplb895bGV5byA5Zu+5byn6ZW/PC9kaXY+PGRpdj7lj6/lvpfvvJo8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvM0YvckJBQ0UxTU1VTnVCRXJrd0FBQUNUbHBYWERVNDU3LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8yMy8zRi9yQkFDRTFNTVVOdUJFcmt3QUFBQ1RscFhYRFU0NTcucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iNjQiPjwvZGl2PjxkaXY+PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzAwLzUyL3JCQUNGRk1NVU51Uk5UUGVBQUFERWgyLWdFZzEyOS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMDAvNTIvckJBQ0ZGTU1VTnVSTlRQZUFBQURFaDItZ0VnMTI5LnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjEwNCI+PC9kaXY+PGRpdj7miYDku6VuPTkwwrAuPC9kaXY+PGRpdj7lnIbplKXnmoTkvqfpnaLlsZXlvIDlm77vvIzlpoLlm77miYDnpLrvvJo8L2Rpdj48ZGl2PjxpbWcgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8yMy8zRi9yQkFDRTFNTVVOdWdjV1FqQUFBRy1sUkNmTlU2NzMucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzIzLzNGL3JCQUNFMU1NVU51Z2NXUWpBQUFHLWxSQ2ZOVTY3My5wbmciIGFsdD0i6Z2S5p6c5a2m6ZmiIiBoZWlnaHQ9Ijc5IiB3aWR0aD0iNzAiPjwvZGl2PjxkaXY+4oi05pyA55+t6Lev56iL5Li677yaPGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzAwLzUyL3JCQUNGRk1NVU51aTR4aXlBQUFDVWgtaXY3TTk4NC5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMDAvNTIvckJBQ0ZGTU1VTnVpNHhpeUFBQUNVaC1pdjdNOTg0LnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjEyMCI+PC9kaXY+PGRpdj7mlYXpgIlELjwvZGl2Pg==