1/5单选题
难度：
1.将五个边长都为2cm的正方形按如图所示摆放，点A、B、C、D分别是四个正方形的中心，则图中四块阴影面积的和为（ ）
| A | 2cm2 |
| B | 4cm2 |
| C | 6cm2 |
| D | 8cm2 |
- 提示1：
- IOi/nuaOpUFQ44CBQU7vvIzngrlB5piv5q2j5pa55b2i55qE5a+56KeS57q/55qE5Lqk54K577yM5YiZQVA9QU7vvIziiKBBUEY94oigQU5FPTQ1wrDvvIzmmJPlvpdQQUbiiYzilrNOQUXvvIzov5vogIzlj6/lvpflm5vovrnlvaJBRU5G55qE6Z2i56ev562J5LqO4pazTkFQ55qE6Z2i56ev77yM5ZCM55CG5Y+v5b6X562U5qGILiA8aW1nIHdpZHRoPTE2NCBoZWlnaHQ9MTM2IHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvQTAvQjUvckJBQ0UxT1d1Qk9TME1JLUFBQVlmVXNEOHJBMDk1LnBuZyIgYWx0PemdkuaenOWtpumZoj4=
正确答案：Qg==
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
2/5单选题
难度：
2.如图，在斜边长为1的等腰直角三角形OAB中，作内接正方形A1B1C1D1；在等腰直角三角形OA1B1中，作内接正方形A2B2C2D2；在等腰直角三角形OA2B2中，作内接正方形A3B3C3D3；…；依次作下去，则第n个正方形AnBnCnDn的边长是（ ）
| A |  |
| B |  |
| C |  |
| D |  |
- 提示1：
- IOi/h0/kvZxPTeWeguebtOS6jkFC77yM5LqkQULkuo7ngrlN77yM5LqkQTxzdWI+MTwvc3ViPkI8c3ViPjE8L3N1Yj7kuo7ngrlO77yM55Sx5LiJ6KeS5b2iT0FC5LiO5LiJ6KeS5b2iT0E8c3ViPjE8L3N1Yj5CPHN1Yj4xPC9zdWI+6YO95Li6562J6IWw55u06KeS5LiJ6KeS5b2i77yM5b6X5YiwTeS4ukFC55qE5Lit54K577yMTuS4ukE8c3ViPjE8L3N1Yj5CPHN1Yj4xPC9zdWI+55qE5Lit54K577yM5qC55o2u55u06KeS5LiJ6KeS5b2i5pac6L655LiK55qE5Lit57q/562J5LqO5pac6L6555qE5LiA5Y2K5Y+v5b6X5Ye6T03kuLpBQueahOS4gOWNiu+8jOeUsUFCPTHmsYLlh7pPTeeahOmVvw==
- 提示2：
- IOWGjeeUsU9O5Li6QTxzdWI+MTwvc3ViPkI8c3ViPjE8L3N1Yj7nmoTkuIDljYrvvIzljbPkuLpNTueahOS4gOWNiu+8jOWPr+W+l+WHuk9O5LiOT03nmoTmr5TlgLzvvIzmsYLlh7pNTueahOmVvyzljbPkuLrnrKwx5Liq5q2j5pa55b2i55qE6L656ZW/
- 提示3：
- 77yM5ZCM55CG5rGC5Ye656ysMuS4quato+aWueW9oueahOi+uemVv++8jOS+neatpOexu+aOqOWNs+WPr+W+l+WIsOesrG7kuKrmraPmlrnlvaLnmoTovrnplb8=
正确答案：Qg==
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
3/5单选题
难度：
3.在直角坐标系中，我们把横、纵坐标都为整数的点叫做整点. 且规定，正方形的内部不包含边界上的点. 观察如图所示的中心在原点、一边平行于x轴的正方形：边长为1的正方形内部有1个整点，边长为3的正方形内部有9个整点，…，则边长为8的正方形内部整点个数为（ ）
| A | 64 |
| B | 49 |
| C | 36 |
| D | 25 |
- 提示1：
- IOaxguWHuui+uemVv+S4ujHjgIEy44CBM+OAgTTjgIE144CBNuOAgTfjgIHnmoTmraPmlrnlvaLnmoTmlbTngrnnmoTkuKrmlbDvvIzlvpfliLDovrnplb/kuLox5ZKMMueahOato+aWueW9ouWGhemDqOaciTHkuKrmlbTngrnvvIzovrnplb/kuLoz5ZKMNOeahOato+aWueW9ouWGhemDqOaciTnkuKrmlbTngrnvvIzovrnplb/kuLo15ZKMNueahOato+aWueW9ouWGhemDqOaciTI15Liq5pW054K577yM5o6o5Ye66L656ZW/5Li6N+WSjDjnmoTmraPmlrnlvaLlhoXpg6jmnIk0OeS4quaVtOeCue+8jOWNs+WPr+W+l+WHuuetlOahiC4=
正确答案：Qg==
6Kej77ya6K6+6L656ZW/5Li6OOeahOato+aWueW9ouWGhemDqOeahOaVtOeCueeahOWdkOagh+S4uu+8iHjvvIx577yJ77yMeO+8jHnpg73kuLrmlbTmlbAuIDxicj7liJktNO+8nHjvvJw077yMLTTvvJx577ycNO+8jDxicj7mlYV45Y+q5Y+v5Y+WLTPvvIwtMu+8jC0x77yMMO+8jDHvvIwy77yMM+WFsTfkuKrvvIx55Y+q5Y+v5Y+WLTPvvIwtMu+8jC0x77yMMO+8jDHvvIwy77yMM+WFsTfkuKrvvIw8YnI+5a6D5Lus5YWx5Y+v57uE5oiQ54K577yIeO+8jHnvvInnmoTmlbDnm67kuLo3w5c3PTQ577yI5Liq77yJPGJyPuaVhemAiUIuIA==
4/5单选题
难度：
4.在平面直角坐标系中，正方形ABCD的顶点分别为A（1，1）、B（1，-1）、C（-1，-1）、D（-1，1），y轴上有一点P（0，2）. 作点P关于点A的对称点P1，作P1关于点B的对称点P2，作点P2关于点C的对称点P3，作P3关于点D的对称点P4，作点P4关于点A的对称点P5，作P5关于点B的对称点P6┅，按如此操作下去，则点P2011的坐标为（ ）
| A | （0，2） |
| B | （2，0） |
| C | （0，-2） |
| D | （-2，0） |
- 提示1：
- IOagueaNruato+aWueW9oueahOaAp+i0qOS7peWPiuWdkOagh+WPmOWMluW+l+WHuuWvueW6lOeCueeahOWdkOagh++8jOWGjeWIqeeUqOWPmOWMluinhOW+i+W+l+WHuueCuVA8c3ViPjIwMTE8L3N1Yj7nmoTlnZDmoIfkuI5QPHN1Yj4zPC9zdWI+5Z2Q5qCH55u45ZCM77yM5Y2z5Y+v5b6X5Ye6562U5qGILg==
正确答案：RA==
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
5/5单选题
难度：
5.已知：如图，∠MON=45°，OA1=1，作正方形A1B1C1A2，面积记作S1；再作第二个正方形A2B2C2A3，面积记作S2；继续作第三个正方形A3B3C3A4，面积记作S3；点A1、A2、A3、A4…在射线ON上，点B1、B2、B3、B4…在射线OM上，…依此类推，则第6个正方形的面积S6是（ ）
| A | 256 |
| B | 900 |
| C | 1024 |
| D | 4096 |
- 提示1：
- 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
正确答案：Qw==
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