2008COMC加拿大數(shù)學(xué)公開賽真題免費(fèi)下載

歷年 Canadian Open Mathematics Challenge加拿大數(shù)學(xué)公開賽

真題與答案下載

翰林國(guó)際教育全網(wǎng)首發(fā)

力爭(zhēng)超快速發(fā)布最全資料

助你在升學(xué)路上一帆風(fēng)順

為你

千千萬(wàn)萬(wàn)遍

2008 COMC真題免費(fèi)下載

共計(jì)2.5小時(shí)考試時(shí)間

此套試卷由兩部分題目組成

Part A共8題，每題5分

Part B共4題，每題10分

共計(jì)12題，滿分80分

不可使用任何計(jì)算器

完整版下載鏈接見文末

部分真題預(yù)覽：

Part A :

4)In the diagram, D is on AB and E is on AC with DE parallel to BC. Also, DE = 1, BC = 6, AE = x, and EC = x² + 4. Determine all possible values of x.

6)Rectangle ABCD intersects a circle at points E, F,G, and H, as shown. If AH = 4, HG = 5 and BE = 3, determine the length of EF.

7)A star is placed in the bottom right corner square of a 3 × 3 grid, as shown. A fair coin is flipped repeatedly. Each time that the coin shows heads, the star is moved one space upwards; each time that the coin shows tails, the star is moved one space to the left. (The star may move off the grid.) Determine the probability that the star reaches the top left corner square of the grid.

Part B :

4)A triangle is called automedian if its three medians can be used to form a triangle that is similar to the original triangle.

1. Show that the triangle with sides of length 7, 13 and 17 is automedian.
2. ΔABC has side lengths AB = c, AC = b and BC = a, with a < b < c. If ΔABC is automedian, prove that a2 + c2 = 2b2.
3. Determine, with proof, an infinite family of automedian triangles with integer side lengths, such that no two of the triangles in the family are similar.

完整版真題資料可以底部二維碼免費(fèi)領(lǐng)取↓↓↓

[vc_btn title="查看更多COMC加拿大數(shù)學(xué)奧賽相關(guān)詳情" color="primary" align="center" i_icon_fontawesome="fa fa-globe" css_animation="zoomIn" button_block="true" add_icon="true" link="url:http%3A%2F%2Fwww.linstitute.net%2Farchives%2F99767||target:%20_blank|"]

以上就是關(guān)于【2008COMC加拿大數(shù)學(xué)公開賽真題免費(fèi)下載】的解答，如需了解學(xué)校/賽事/課程動(dòng)態(tài)，可至翰林教育官網(wǎng)獲取更多信息。

往期文章閱讀推薦：

2026五大奧賽中國(guó)隊(duì)斬獲四個(gè)世界第一，全員金牌收官！

【組隊(duì)招募】經(jīng)濟(jì)/數(shù)模競(jìng)賽CNEC/IEO/SIC/HiMCM…組隊(duì)報(bào)名！