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題目:直線的坐標幾何(一)
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發問:
2. 在下列各題中,判斷直線AB和CD是否互相平行。A的坐標是(1,7) B的坐標是( -3,2) C的坐標是(6,1) D的坐標是(2,-4)3. 在列各題中判斷直線PQ和和RS是否互相垂直。P的坐標是(8,3) R的坐標是(-3,4) Q的坐標是(-2-,6)S的坐標是(6,-4)4求下列各題中AB和CD的斜率。由此,判斷AB和CD是互相平行,互相垂直,還是兩者皆不是。a)A(l,-2),B(2,2),C(6,0),和D(-2,2) b)A(-2,1),B(3,8),C(0,3)和D(5,10) ... 顯示更多 2. 在下列各題中,判斷直線AB和CD是否互相平行。 A的坐標是(1,7) B的坐標是( -3,2) C的坐標是(6,1) D的坐標是(2,-4) 3. 在列各題中判斷直線PQ和和RS是否互相垂直。 P的坐標是(8,3) R的坐標是(-3,4) Q的坐標是(-2-,6)S的坐標是(6,-4) 4求下列各題中AB和CD的斜率。由此,判斷AB和CD是互相平行,互相垂直,還是兩者皆不是。 a)A(l,-2),B(2,2),C(6,0),和D(-2,2) b)A(-2,1),B(3,8),C(0,3)和D(5,10) c)A(2,2),B(4,-1),C(1,0)和(3,-2) 我要星期四交,吾該快少少有答案 更新: 7. 在直角座標平面上,L、是一條通過A(1,2)和B(5,3)的直線 A)若直線L2,平行於L1,求L2的斜率 B)若直線L3,垂直於L1,求L3斜率 15. 如圖所示,通過a(-2,-6)和b(4,3)的直線垂直於直線L。已知L輿Y軸相交於C(0,4) A)求L的斜率。B)判斷D(9,-2)是否位於L上。
最佳解答:
2. 在下列各題中,判斷直線AB和CD是否互相平行。 A的坐標是(1,7) B的坐標是( -3,2) C的坐標是(6,1) D的坐標是(2,-4) AB斜率 = (2 - 7) / (-3 - 1) = 5/4; CD斜率 = (-4 - 1) / (2-6) = 5/4 AB和CD是互相平行 3. 在列各題中判斷直線PQ和和RS是否互相垂直。 P的坐標是(8,3) R的坐標是(-3,4) Q的坐標是(-2-,6)S的坐標是(6,-4) PQ 斜率 = (-6 - 3) / (-2 - 8) = 9/10; RS斜率=(-4 - 4)/(6 + 3) = -8/9 PQ 斜率 * RS斜率 = (9/10)(-8/9) = -4/5 -1 PQ和RS並不互相垂直 4求下列各題中AB和CD的斜率。由此,判斷AB和CD是互相平行,互相垂直,還是兩者皆不是。 a)A(l,-2),B(2,2),C(6,0),和D(-2,2) AB斜率 = (2 + 2) / (2 - 1) = 4; CD斜率 = (2 - 0) / (-2-6) = -1/4 AB斜率 * CD斜率 = - 1, AB , CD是互相垂直 b)A(-2,1),B(3,8),C(0,3)和D(5,10) AB斜率 = (8 - 1) / (3 + 2) = 7/5; CD斜率 = (10 - 3) / (5- 0) = 7/5 AB和CD是互相平行 c)A(2,2),B(4,-1),C(1,0)和(3,-2) AB斜率 = (-1 - 2) / (4 - 2) = -3/2; CD斜率 = (-2 - 0) / (3-1) = -1 AB和CD不是互相平行，不是互相垂直
其他解答:
2.slope of AB=(7-2)/[1-(-3)] =5/4 slope of CD=[1-(-4)]/(6-2) =5/4 因為slope of AB不=slope of CD 所以AB and CD are not parallel to other. 3.slope of PQ=[3-(-6)]/[8-(-2)] =9/10 slope of RS=[4-(-4)]/(-3-6) =8/-9 =-8/9 因為slope of PQ*slope of RS不=-1 所以PQ and RS are not perpendicular to other. 4a.slope of AB=(-2-2)/(1-2) =-4/-1 =4 slope of CD=(2-0)/(-2-6) =2/-8 =-1/4 因為slope of AB不=slope of CD 所以AB and CD are not parallel to other. 因為slope of AB*slope of CD=4*-1/4 =-1 所以AB and CD are perpendicular to other. b.slope of AB=(8-1)/[3-(-2)] =7/5 slope of CD=(10-3)/(5-0) =7/5 因為slope of AB=slope of CD 所以AB and CD are parallel to other. 因為slope of AB*slope of CD=7/5*7/5不=-1 所以AB and CD are not perpendicular to other. c.slope of AB=(-1-2)/(4-2) =-3/6 =-1/2 slope of CD=(-2-0)/(3-1) =-2/2 =-1 因為slope of AB不=slope of CD 所以AB and CD are not parallel to other. 因為slope of AB*slope of CD=-1/2*-1不=-1 所以AB and CD are not perpendicular to other. ps./用分數線表示 唔好寫不=and因為所以,用符號
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