1/5单选题
难度：
1.在中华经典美文阅读中，小明同学发现自己的一本书的宽与长之比为黄金比. 已知这本书的长为20cm，则它的宽约为（ ）
| A | 12.36cm |
| B | 13.6cm |
| C | 32.36cm |
| D | 7.64cm |
- 提示1：
- IOaKiuS4gOadoee6v+auteWIhuaIkOS4pOmDqOWIhu+8jOS9v+WFtuS4rei+g+mVv+eahOe6v+auteS4uuWFqOe6v+auteS4jui+g+efree6v+auteeahOavlOS+i+S4remhue+8jOi/meagt+eahOe6v+auteWIhuWJsuWPq+WBmum7hOmHkeWIhuWJsg==
正确答案：QQ==
6Kej77ya5pa55rOVMe+8muiuvuS5pueahOWuveS4unjvvIzliJnmnInvvIgyMCt477yJ77yaMjA9MjDvvJp477yM6Kej5b6XeD0xMi4zNmNtLiA8YnI+5pa55rOVMu+8muS5pueahOWuveS4ujIww5cwLjYxOD0xMi4zNmNtLiA8YnI+5pWF6YCJQS4g
2/5单选题
难度：
2.把2米的线段进行黄金分割，则分成的较短的线段长为（ ）
| A | 3- |
| B |  |
| C | 1+ |
| D |  |
- 提示1：
- IOagueaNrum7hOmHkeWIhuWJsueahOWumuS5ieWIl+W8j+i/m+ihjOiuoeeul+WNs+WPr+W+l+inoy4=
正确答案：QQ==
3/5单选题
难度：
3.
如图，已知点P是线段AB的黄金分割点，且PA＞PB，若S1表示以PA为边的正方形的面积，S2表示长为AB、宽为PB的矩形的面积，那么S1_____S2.
| A | ＞ |
| B | = |
| C | ＜ |
| D | 无法确定 |
- 提示1：
- PHA+5qC55o2u6buE6YeR5YiG5Ymy55qE5qaC5b+155+l77yaPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzBDL0Y2L3JCQUNGRlBJN1VpUmpPYUNBQUFCNkY5OHIwRTAzNC5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMEMvRjYvckJBQ0ZGUEk3VWlSak9hQ0FBQUI2Rjk4cjBFMDM0LnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjYxIj7vvIzlj5jlvaLlkI7msYLop6MuPC9wPg==
正确答案：Qg==
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
4/5单选题
难度：
4.
我们称顶角为36°的等腰三角形为“黄金三角形”. 如图所示，现有一等腰△ABC，其中AB=AC，且∠ACB=2∠A，∠ABC、∠ACB的角平分线BD、CE交于点O，则图中的“黄金三角形”共有( )个
| A | 3 |
| B | 4 |
| C | 5 |
| D | 6 |
- 提示1：
- PHA+55Sx5Zyo4pazQUJD5Lit77yMQUI9QUPvvIziiKBBPTM2wrDvvIzop5LlubPliIbnur9CROS4jkNF55u45Lqk5LqO54K5T++8jOWIqeeUqOetiei+ueWvueetieinkuS4juinkuW5s+WIhue6v+eahOaAp+i0qO+8jOaYk+axguW+l+WbvuS4reWQhOinkueahOW6puaVsDwvcD4=
- 提示2：
- PHA+54S25ZCO5Yip55So4oCc6buE6YeR5LiJ6KeS5b2i4oCd55qE5a6a5LmJ77yM5Y2z5Y+v5Yik5a6a4pazQUJD77yM4pazQkRD77yM4pazQkNF77yM4pazT0JF77yM4pazT0NE6YO95piv4oCc6buE6YeR5LiJ6KeS5b2i4oCdLjwvcD4=
正确答案：Qw==
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
5/5单选题
难度：
5.
如图所示，顶角为36°的等腰三角形，其底边与腰之比等于k，这样的三角形叫黄金三角形，已知腰长AB=1，△ABC为第一个黄金三角形，△BCD为第二个黄金三角形，△CDE为第三个黄金三角形，以此类推，第2007个黄金三角形的周长为（ ）
| A | k2006 |
| B | k2007 |
| C |
|
| D | k2006（2+k） |
- 提示1：
- PHA+55u45Ly85LiJ6KeS5b2i5a+55bqU6KeS55u4562J77yM5a+55bqU6L655oiQ5q+U5L6L77yM5omA5Lul5Y+v5rGC5Ye65YmN5Yeg5Liq5LiJ6KeS5b2i55qE5ZGo6ZW/77yM6L+b6ICM5om+5Ye65YW25YaF5Zyo6KeE5b6L77ya56ysbuS4qum7hOmHkeS4ieinkuW9oueahOWRqOmVv+S4ums8c3VwPm4tMTwvc3VwPu+8iDIra++8iS48L3A+
正确答案：RA==
PHA+6Kej77ya4oi1QUI9QUM9Me+8jDxicj7iiLTilrNBQkPnmoTlkajplb/kuLoyK2vvvJs8YnI+4pazQkNE55qE5ZGo6ZW/5Li6aytrK2s8c3VwPjI8L3N1cD49a++8iDIra++8ie+8mzxicj7ilrNDREXnmoTlkajplb/kuLprPHN1cD4yPC9zdXA+K2s8c3VwPjI8L3N1cD4razxzdXA+Mzwvc3VwPj1rPHN1cD4yPC9zdXA+77yIMitr77yJ77ybPGJyPuS+neatpOexu+aOqO+8jOesrDIwMDfkuKrpu4Tph5HkuInop5LlvaLnmoTlkajplb/kuLprPHN1cD4yMDA2PC9zdXA+77yIMitr77yJLjxicj7mlYXpgIlELjwvcD4=