2001 AMC 8 第 7 题
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7.
第 、 和 题与这些风筝有关。
为了宣传学校一年一度的风筝奥林匹克活动，吉纳维芙为公告板展示制作了一个小风筝和一个大风筝。风筝形状如图。对于小风筝，吉纳维芙在一英寸方格纸上画风筝。对于大风筝，她将整个方格的高度和宽度都扩大为原来的三倍。
小风筝的面积是多少平方英寸？
Problems and are about these kites.
To promote her school’s annual Kite Olympics, Genevieve makes a small kite and a large kite for a bulletin board display. The kites look like the one in the diagram. For her small kite Genevieve draws the kite on a one-inch grid. For the large kite she triples both the height and width of the entire grid.
What is the number of square inches in the area of the small kite?
小提示：
使用方格上的风筝两条对角线
Use the kite diagonals on the grid
大提示：
面积等于两条对角线乘积的一半
The area is half the product of the diagonals
解答：
风筝面积等于两条对角线的乘积除以 。
因此小风筝面积为
所以正确答案是 A。
Recall that the area of a kite is the product of its diagonals divided by
Therefore, the area of the small kite is
Thus, A is the correct answer.
其他年份的第 7 题
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2002 AMC 8
- 2003 AMC 8
- 2004 AMC 8
- 2005 AMC 8
- 2006 AMC 8
- 2007 AMC 8
- 2008 AMC 8
- 2009 AMC 8
- 2010 AMC 8
- 2011 AMC 8
- 2012 AMC 8
- 2013 AMC 8
- 2014 AMC 8
- 2015 AMC 8
- 2016 AMC 8
- 2017 AMC 8
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- 2020 AMC 8
- 2022 AMC 8
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