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考試題目 |
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( ) | 1.下列敘述何者正確？
(1) |
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| (1) | 直線4x－7y＝3不通過第三象限 |
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| (2) | 直線x＝0 和y軸恰交於一點 |
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| (3) | 直線7x－5y＝2通過點 ( 6 , 8 ) |
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| (4) | 直線y＝－5平行y軸 |
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| (5) | I don't know |
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( ) | 2.下列敘述何者正確？
(2) |
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| (1) | 點 ( 2 , 3 ) 到y軸的距離為5 |
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| (2) | 點 ( 4 ,－1 ) 在第二象限 |
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| (3) | 點 ( 7 ,－7 ) 在直線x＝0上 |
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| (4) | 原點在x軸上，也在y軸上 |
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| (5) | I don't know |
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( ) | 3.x、y是正整數時，方程式x＋y＝5的圖形是下列何者？
(3) |
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| (1) | 兩個點 |
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| (2) | 三個點 |
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| (3) | 四個點 |
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| (4) | 一直線 |
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| (5) | I don't know |
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( ) | 4.下列何者為直線4x－y＝3和直線x＋6y－7＝0的交點坐標？
(4) |
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| (1) | ( 0 ,－3 ) |
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| (2) | ( 1 , 1 ) |
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| (3) | ( 2 , 5 ) |
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| (4) | (－1 ,－4 |
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| (5) | I don't know |
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( ) | 5.下列哪一方程式的圖形通過P 1 , 3 ) 與Q 5 , 3 ) 兩點？
(5) |
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| (1) | y＝3 |
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| (2) | x＋y＝4 |
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| (3) | x＋y＝8 |
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| (4) | x－y＝－2 |
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| (5) | I don't know |
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( ) | 6.下列哪一個二元一次方程式的圖形，不會通過原點？
(6) |
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| (1) | 3x＋2y＝0 |
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| (2) | 2 ( x＋2y＋2 )＝3x＋2y＋4 |
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| (3) | 5x＝3y |
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| (4) | y＝x＋2 |
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| (5) | I don't know |
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( ) | 7.下列哪一個直線方程式的圖形會通過 3 ,－2 ) 且與y軸平行？
(7) |
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| (1) | x＝3 |
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| (2) | y＝3 |
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| (3) | x＝－2 |
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| (4) | y＝－2 |
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| (5) | I don't know |
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( ) | 8.下列哪一條直線不通過原點？
(8) |
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| (1) | x－7y＋6＝0 |
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| (2) | x＝0 |
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| (3) | y＝0 |
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| (4) | 4x＝－3y |
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| (5) | I don't know |
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( ) | 9.下列哪一條直線必通過原點？
(9) |
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| (1) | 4x＋y－5＝0 |
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| (2) | 2x－5y＋3＝0 |
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| (3) | x－3y＝－2 |
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| (4) | 4x＝0 |
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| (5) | I don't know |
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( ) | 10.下列哪一條直線的圖形會通過第一、二、四象限？
(10) |
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| (1) | y＝－x |
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| (2) | x＝2 |
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| (3) | 2x＋y＝3 |
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| (4) | x－2y＝4 |
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| (5) | I don't know |
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( ) | 11.下列哪一條直線與兩坐標軸會圍成一個三角形？
(11) |
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| (1) | y＋5＝0 |
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| (2) | x＝8 |
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| (3) | x＋2y＝0 |
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| (4) | 3x－y＝1 |
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| (5) | I don't know |
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( ) | 12.已知A 1 , 5 )、B 2 , 3 )、C 2 ,－1 ) 三點，則下列哪一個方程式的圖形表示過A點且與直線BC垂直？
(12) |
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| (1) | y＝3 |
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| (2) | y＝5 |
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| (3) | x＝2 |
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| (4) | x＝1 |
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| (5) | I don't know |
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( ) | 13.已知坐標平面上的三點A －5 , 2 )、B 3 , 2 )、C －4 ,－3 )，則下列哪一條直線通過C點且垂直直線AB？
(13) |
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| (1) | x＋3＝0 |
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| (2) | x＋4＝0 |
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| (3) | y＋3＝0 |
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| (4) | y＋4＝0 |
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| (5) | I don't know |
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( ) | 14.已知坐標平面上的四條直線：x＝－2，y＝－5，x＝4，y＝3圍成一個四邊形，則有關此四邊形的敘述，下列何者不正確？
(14) |
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| (1) | 此四邊形是正方形 |
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| (2) | 此四邊形周長是28單位 |
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| (3) | 此四邊形是長方形 |
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| (4) | 此四邊形面積是48平方單位 |
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| (5) | I don't know |
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( ) | 15.已知直線ax－y＝4與x＋2y＝b的交點A在x軸上。若A點的x坐標是2，則a＋b＝？
(15) |
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| (1) | 0 |
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| (2) | 2 |
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| (3) | 4 |
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| (4) | 6 |
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| (5) | I don't know |
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( ) | 16.已知直線L：34x＋3y＝－25和M：28x＋y－25＝0，下列哪一條直線不通過直線L、M的交點？
(16) |
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| (1) | x＝2 |
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| (2) | y＋31＝0 |
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| (3) | x＋y＝29 |
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| (4) | x－y＝33 |
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| (5) | I don't know |
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( ) | 17.已知直線L是通過 3 , －5 ) 且平行x軸的直線。若P點在L上，且P點與y軸距離7個單位，試問下列何者有可能是P點的坐標？
(17) |
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| (1) | ( 3 ,－7 ) |
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| (2) | (－7 ,－5 ) |
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| (3) | ( 7 , 3 ) |
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| (4) | ( 3 ,－5 |
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| (5) | I don't know |
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( ) | 18.已知直線L與直線M的交點為 2 , 1 )。若直線x－3y＝k也通過此交點，則k＝？
(18) |
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| (1) | -1 |
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| (2) | 0 |
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| (3) | 1 |
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| (4) | 2 |
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| (5) | I don't know |
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( ) | 19.四邊形ABCD為長方形，若A點坐標為 －2 , 3 )，B點坐標為 －2 ,－3 )，D點坐標為 4 , 3 )，則下列四個選項中，何者為直線BC的方程式？
(19) |
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| (1) | y－3＝0 |
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| (2) | y＋3＝0 |
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| (3) | x－1＝0 |
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| (4) | x－4＝0 |
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| (5) | I don't know |
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( ) | 20.在坐標平面上，x＝－6與y＝17圖形之間的關係為何？
(20) |
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| (1) | 重合 |
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| (2) | 垂直 |
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| (3) | 平行 |
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| (4) | 無法得知 |
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| (5) | I don't know |
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( ) | 21.在坐標平面上，下列哪一條直線會通過點 5 ,－2 ) ？
(21) |
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| (1) | 5x－2y＝0 |
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| (2) | x－y＝3 |
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| (3) | x－5＝0 |
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| (4) | x＋2＝0 |
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| (5) | I don't know |
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( ) | 22.在坐標平面上，已知直線4x＋3y＋20＝0與直線y＝0相交於A點，試問下列何者是A點的坐標？
(22) |
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| (1) | ( 5 , 0 ) |
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| (2) | ( 0 , 5 ) |
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| (3) | ( 0 ,－5) |
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| (4) | (－5 , 0 |
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| (5) | I don't know |
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( ) | 23.在坐標平面上，直線－3y＝9＋x通過下列哪一個點？
(23) |
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| (1) | ( 0 , 3 ) |
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| (2) | (－3 , 0 ) |
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| (3) | ( 6 ,－5 ) |
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| (4) | (－5 , 6 |
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| (5) | I don't know |
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( ) | 24.在坐標平面上，若直線x－2y＝0通過 2 , a )、 b , －1 ) 兩點，則 a , b ) 在第幾象限？
(24) |
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| (1) | 一 |
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| (2) | 二 |
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| (3) | 三 |
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| (4) | 四 |
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| (5) | I don't know |
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( ) | 25.在坐標平面上，試問直線L：－7x＋5y＋3＝0與直線M：－14x＋10y＝5的圖形是下列何種情形？
(25) |
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| (1) | 相交一點 |
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| (2) | 兩平行線 |
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| (3) | 兩直線重合 |
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| (4) | 相交兩點 |
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| (5) | I don't know |
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( ) | 26.如果 a , b ) 在兩直線3x－2y＝1與2x＋3y＝5上，則a＋b＝？
(26) |
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| (1) | -2 |
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| (2) | 0 |
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| (3) | 2 |
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| (4) | 4 |
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| (5) | I don't know |
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( ) | 27.有一直線經過 2 ,－2 )、 －1 , 4 ) 兩點，則下列哪一個點也在此直線上？
(27) |
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| (1) | ( 1 , 0 ) |
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| (2) | ( 0 , －2 ) |
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| (3) | ( 3 , －5 ) |
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| (4) | ( －1 , 0 |
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| (5) | I don't know |
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( ) | 28.坐標平面上，下列哪一條直線與直線L：－6x＋9y＝15平行？
(28) |
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| (1) | 2x＋3y＝5 |
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| (2) | 2x＋3y＝－5 |
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| (3) | 4x－6y＋10＝0 |
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| (4) | 4x－6y－10＝0 |
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| (5) | I don't know |
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( ) | 29.坐標平面上，有一長方形ABCD，已知點A 3 , 1 )，點B 3 , －3 )，點D －3 , 1 )，則通過A點與C點之直線方程式為何？
(29) |
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| (1) | 2x＋3y＝6 |
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| (2) | 3x＋2y＝3 |
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| (3) | 2x－3y＝6 |
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| (4) | 2x－3y－3＝0 |
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| (5) | I don't know |
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( ) | 30.坐標平面上，通過一點P 3 , －1 ) 且與x軸垂直的直線方程式為何？
(30) |
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| (1) | x＝3 |
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| (2) | y＝－1 |
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| (3) | x＝－1 |
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| (4) | y＝3 |
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| (5) | I don't know |
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( ) | 31.坐標平面上，與直線L：－6x＋9y＝15重合的是哪一條直線？
(31) |
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| (1) | 2x＋3y＝5 |
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| (2) | 2x＋3y＝－5 |
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| (3) | 4x－6y＋10＝0 |
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| (4) | 4x－6y－10＝0 |
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| (5) | I don't know |
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( ) | 32.坐標平面上有三直線ax＋y＝4，2x－by＝3及ax＋by－c＝0，若點A 1 , 1 ) 在此三直線上，則下列何者錯誤？
(32) |
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| (1) | a＝3 |
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| (2) | b＝1 |
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| (3) | c＝2 |
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| (4) | a＋b＋c＝4 |
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| (5) | I don't know |
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( ) | 33.兩直線L：x－3y＝9、M：3x＋2y＝5的交點在第幾象限？
(33) |
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| (1) | 一 |
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| (2) | 二 |
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| (3) | 三 |
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| (4) | 四 |
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| (5) | I don't know |
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( ) | 34.兩直線y＝ax＋b與y＝cx＋d相交於原點，則a、b、c、d四數中，有幾個數必為0？
(34) |
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| (1) | 1 |
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| (2) | 2 |
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| (3) | 3 |
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| (4) | 4 |
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| (5) | I don't know |
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( ) | 35.直線2x－3y＝6與x軸交於A點，與y軸交於B點。若O點為原點，則三角形AOB的面積為何？
(35) |
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| (1) | 3 |
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| (2) | 6 |
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| (3) | 9 |
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| (4) | 12 |
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| (5) | I don't know |
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( ) | 36.直線3x－8y＝m的圖形通過點 m ,－2 )，則m＝？
(36) |
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| (1) | -8 |
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| (2) | -3 |
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| (3) | 3 |
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| (4) | 8 |
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| (5) | I don't know |
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( ) | 37.直線L：x－y＝1與直線M：2x＋3y＝7的交點為何？
(37) |
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| (1) | (－1 , －2 ) |
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| (2) | ( 2 , 1 ) |
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| (3) | ( 1 , 2 ) |
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| (4) | ( 2 , －1 |
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| (5) | I don't know |
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( ) | 38.若 2 , m ) 和 －1 , n ) 都在直線y＝2x上，則 m , n ) 在第幾象限？
(38) |
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| (1) | 一 |
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| (2) | 二 |
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| (3) | 三 |
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| (4) | 四 |
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| (5) | I don't know |
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( ) | 39.若 a , 1 )、－2 , b )、 c ,－3 )、 4 , d ) 都在直線x－2y＋1＝0上，則a－b＋c－d＝？
(39) |
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| (1) | -12 |
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| (2) | 7 |
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| (3) | 4 |
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| (4) | -8 |
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| (5) | I don't know |
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( ) | 40.若A a , 4 )、B 2 , b ) 兩點都在直線6x－y＝2上，則a＋b＝？
(40) |
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| (1) | 12 |
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| (2) | 11 |
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| (3) | 10 |
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| (4) | 9 |
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| (5) | I don't know |
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( ) | 41.若a＞0，b＜0，則直線方程式y＝ax＋b的圖形不通過第幾象限？
(41) |
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| (1) | 一 |
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| (2) | 二 |
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| (3) | 三 |
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| (4) | 四 |
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| (5) | I don't know |
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( ) | 42.若a＞0，則直線L：y＝－5x－a 不通過坐標平面的第幾象限？
(42) |
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| (1) | 一 |
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| (2) | 二 |
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| (3) | 三 |
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| (4) | 四 |
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| (5) | I don't know |
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( ) | 43.若x＋4y＝a－1和ax－8y＝b的圖形是表示同一直線，則a＋b＝？
(43) |
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| (1) | 4 |
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| (2) | 6 |
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| (3) | 8 |
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| (4) | 10 |
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| (5) | I don't know |
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( ) | 44.若一直線經過 －2 , 5 )，且與y＝－x平行，試問此直線方程式為何？
(44) |
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| (1) | x＋y＝3 |
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| (2) | y＝－x＋5 |
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| (3) | y＝－x－2 |
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| (4) | y＝－2x＋3 |
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| (5) | I don't know |
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( ) | 45.若方程式y＝ax＋b的圖形通過 －3 , 2 ) 與 5 , 2 ) 兩點，則a＋b＝？
(45) |
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| (1) | 1 |
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| (2) | 2 |
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| (3) | 3 |
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| (4) | 4 |
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| (5) | I don't know |
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( ) | 46.若方程式y＝ax－3的圖形通過 b , 0 ) 與 2 , －1 ) 兩點，平面上有一點P －1 , c ) 亦在此圖形上，則c＝？
(46) |
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| (1) | -2 |
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| (2) | -3 |
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| (3) | -4 |
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| (4) | -5 |
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| (5) | I don't know |
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( ) | 47.若方程式y＝ax－3的圖形通過 b , 0 ) 與 2 , －1 ) 兩點，則a－b＝？
(47) |
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| (1) | -1 |
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| (2) | -2 |
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| (3) | -3 |
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| (4) | -4 |
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| (5) | I don't know |
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( ) | 48.若兩直線3x＋ay＝5和x－6y＝7的交點坐標為 1 , b )，則a＋b＝？
(48) |
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| (1) | -4 |
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| (2) | -3 |
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| (3) | 4 |
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| (4) | 3 |
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| (5) | I don't know |
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( ) | 49.若直線2x－2ay＝－7與直線bx－8y＝14重合，則下列何者為真？
(49) |
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| (1) | a＝2，b＝4 |
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| (2) | a＝－2，b＝－4 |
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| (3) | a＝4，b＝－2 |
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| (4) | a＝2，b＝－4 |
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| (5) | I don't know |
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( ) | 50.若直線L通過 －4 , 0 ) 和 4 ,－12 )，則直線L和y軸的交點坐標為何？
(50) |
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| (1) | ( 0 ,－4.5 ) |
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| (2) | ( 0 ,－5 ) |
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| (3) | ( 0 ,－5.5 ) |
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| (4) | ( 0 ,－6 |
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| (5) | I don't know |
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