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www.08099.com:人教A版高中数学必修二 3-3-3 点到直线的距离 3-3-4 两条平行直线间的距离 检测学生版 精品

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3.3.3 点到直线的距离 3.3.4 两条平行线间的距离 时间:30 分钟,总分:70 分 班级: ) 姓名: 一、选择题(共 6 小题,每题 5 分,共 30 分) 1.点(1,-1)到直线 x-y+1=0 的距离是( A.3 2 C.3 B. 2 2 3 2 D. 2 ) 2.两平行线分别经过点 A(3,0),B(0,4),它们之间的距离 d 满足的条件是( A.0<d≤3 C.0<d<4 3.与直线 2x+y+1=0 的距离等于 A.2x+y=0 B.2x+y-2=0 C.2x+y=0 或 2x+y-2=0 D.2x+y=0 或 2x+y+2=0 [ B.0<d≤5 D.3≤d≤5 5 的直线方程为( 5 ) 4、已知 P,Q 分别为直线 3x+4y-12=0 与 6x+8y+6=0 上任一点,则|PQ|的最小值为( A.错误!未找到引用源。 C.3 D.6 ) B.错误!未找到引用源。 ) 5.过点(1,2),且与原点距离最大的直线方程为( A.x+2y-5=0 C.x+3y-7=0 B.2x+y-4=0 D.3x+y-5=0 6.(2016 四川雅安天全中学月考)已知点 P(x,y)在直线 2x+y+5=0 上,则 x2+y2 的最小值为( A.错误!未找到引用源。 C.5 B.2 错误!未找到引用源。 [ ) D.2 错误!未找到引用源。 二、填空题(共 4 小题,每题 5 分,共 20 分) 7、与两平行直线 l1:3x-y+9=0,l2:3x-y-3=0 等距离的直线方程为 . 8.已知直线 l1 过 A(3,0),直线 l2 过 B(0,4),且 l1∥l2,用 d 表示 l1 与 l2 间的距离,则 d 的取值范围 是 . 9、直线 l 在 x 轴上的截距为 1,又有两点 A(-2,-1),B(4,5)到 l 的距离相等,则 l 的方程 为________________. 10.已知直线 l 与直线 l1:2x-y+3=0 和 l2:2x-y-1=0 的距离相等,则 l 的方程是 ____________________. 三、解答题(共 2 小题,每题 10 分,共 20 分) 11、已知正方形 ABCD 的相对顶点 A(0,-1)和 C(2,5),求顶点 B 和 D 的坐标. 3 12、已知直线 l 经过点 P(-2,5),且斜率为- . 4 (1)求直线 l 的方程; (2)若直线 m 与 l 平行,且点 P 到直线 m 的距离为 3,求直线 m 的方程. 精品文档 强烈推荐

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