連結已失效h ttp://www.geogebra.org/en/upload/files/zh-tw/jojoba26/docuzh_TW.pdf
or
連結已失效h ttp://www.geogebra.org/source/translation/help/translated_documents/docuzh_TW30.doc
3. 花蓮縣 96 學年度『國中小學校園 ─ 自由軟體融入教學工具』的網頁上有
曾已泉老師製作的 GeoGebra 教學 連結已失效 h ttp://96f.hlc.edu.tw/B/b14/b14_geogebra.html
之前做過正六邊形的滾動，日前剛好看到Putnam這題，順手將滾動的長方形的動畫也做出來。
A1.
The rectangle with vertices (0, 0), (0, 3), (2, 0) and (2, 3) is rotated clockwise through a right angle about the point (2, 0), then about (5, 0), then about (7, 0), and finally about (10, 0). The net effect is to translate it a distance 10 along the x-axis. The point initially at (1, 1) traces out a curve. Find the area under this curve (in other words, the area of the region bounded by the curve, the x-axis and the lines parallel to the y-axis through (1, 0) and (11, 0) ).
(52nd Putnam 1991，http://mks.mff.cuni.cz/kalva/putnam/putn91.html)
1972ASHME
Equilateral triangle ABP with side AB of length 2 inches is placed inside a square AXYZ with side of length 4 inches so that B is on side AX. The triangle is rotated clockwise about B, then P, and so on along the sides of the square until P,A, and B all return to their original positions. The length of the path in inches traversed by vertex P is equal to(A)\( \displaystyle \frac{20 \pi}{3} \) (B)\( \displaystyle \frac{32 \pi}{3} \) (C)\( 12 \pi \) (D)\( \displaystyle \frac{40 \pi}{3} \) (E)\( 15 \pi \)
