1/5单选题
难度：
1.正多边形的中心角是36°，那么这个正多边形的边数是（ ）
| A | 10 |
| B | 8 |
| C | 6 |
| D | 5 |
- 提示1：
- 6K6+6L+Z5Liq5q2j5aSa6L655b2i55qE6L655pWw5pivbu+8jOWGjeagueaNruato+Wkmui+ueW9oueahOS4reW/g+inkuaYrzM2wrDmsYLlh7pu55qE5YC85Y2z5Y+v77yO
正确答案：QQ==
6Kej77ya6K6+6L+Z5Liq5q2j5aSa6L655b2i55qE6L655pWw5pivbu+8jDxicj7iiLXmraPlpJrovrnlvaLnmoTkuK3lv4Pop5LmmK8zNsKw77yMPGJyPuKItDxpbWcgd2lkdGg9MjQgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvN0IvMDIvckJBQ0oxVmltX3JpSkljTUFBQUJreUs0VXF3NjEyLnBuZyI+PTM2wrDvvIzop6PlvpduPTEw77yOPGJyPuaVhemAiUHvvI4=
2/5单选题
难度：
2.已知等边三角形的内切圆半径，外接圆半径和高的比是（ ）
| A | 1：2： |
| B | 2:3:4 |
| C | 1： |
| D | 1：2：3 |
- 提示1：
- 6L+H5Lit5b+D5L2c6L6555qE5Z6C57q/77yM6L+e5o6l5Y2K5b6E77yM5oqK5YaF5YiH5ZyG5Y2K5b6E77yM5aSW5o6l5ZyG5Y2K5b6E5ZKM6auY77yM5Lit5b+D6KeS5LmL6Ze055qE6K6h6L2s5YyW5Li66Kej55u06KeS5LiJ6KeS5b2i77yO
正确答案：RA==
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
3/5单选题
难度：
3.边长为1的正六边形的内切圆的半径为（ ）
| A | 1 |
| B | 2 |
| C |  |
| D |  |
- 提示1：
- 5qC55o2u6aKY5oSP55S75Ye65Zu+5b2i77yM5Yip55So5q2j5YWt6L655b2i5Lit55qE562J6L655LiJ6KeS5b2i55qE5oCn6LSo5rGC6Kej5Y2z5Y+v77yO
正确答案：RA==
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
4/5单选题
难度：
4.如图是一个正八边形，图中空白部分的面积等于20，则阴影部分的面积等于（ ）
| A | 10 |
| B | 20 |
| C | 18 |
| D | 20 |
- 提示1：
- 6K6+55u06KeS4pazQUVG5Lit77yMQUU9eO+8jOWImUFGPXjvvIxFRj08aW1nIHdpZHRoPTE5IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwL0IwLzcyL3JCQUNFMVZpbV9qeENHNFNBQUFCZTFpSVhvdzEzMS5wbmciPnjvvIzmraPlha3ovrnlvaLnmoTovrnplb/mmK88aW1nIHdpZHRoPTE5IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwL0IwLzcyL3JCQUNFMVZpbV9qeENHNFNBQUFCZTFpSVhvdzEzMS5wbmciPng=
- 提示2：
- 5qC55o2u56m655m96YOo5YiG55qE6Z2i56ev5pivMjDljbPlj6/liJfmlrnnqIvmsYLlvpd455qE5YC8
- 提示3：
- 54S25ZCO5Yip55So55+p5b2i5ZKM5LiJ6KeS5b2i55qE6Z2i56ev5rGC6Kej
正确答案：Qg==
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
5/5单选题
难度：
5.如图，六个完全相同的等腰直角三角形环绕一周，直角顶点在同一个圆上，斜边顺次连接，则图中角α的度数为（ ）
| A | 40° |
| B | 35° |
| C | 30° |
| D | 25° |
- 提示1：
- 5YWI5qC55o2u562J6IWw55u06KeS5LiJ6KeS5b2i55qE5oCn6LSo5rGC5Ye6562J6IWw55u06KeS5LiJ6KeS5b2i5Lik5bqV6KeS55qE54K55pWw77yM
- 提示2：
- 5YaN5rGC5Ye65q2j5YWt6L655b2i5YaF6KeS55qE5bqm5pWw77yM6L+b6ICM5Y+v5b6X5Ye657uT6K6677yO
正确答案：Qw==
6Kej77ya4oi1562J6IWw55u06KeS5LiJ6KeS5b2i55qE6aG26KeS5pivOTDCsO+8jDxicj7iiLTkuKTlupXop5LmmK80NcKw77yOPGJyPuKIteato+WFrei+ueW9oueahOWGheinkj08aW1nIHdpZHRoPTYzIGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzEwLzU4L3JCQUNGRlZpbV96UUZIMWpBQUFDSFdtaVRMczYzNC5wbmciPj0xMjDCsO+8jDxicj7iiLTiiKDOsT0xMjDCsC00NcKwLTQ1wrA9MzDCsO+8jjxicj7mlYXpgIlD77yO