优优班--学霸训练营 > 知识点挑题
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            • 1.

              直线\({{l}_{1}}\):\(ax+3y+1=0\),\({{l}_{2}}\):\(2x+(a+1)y+1=0\),若\({{l}_{1}}/\!/{{l}_{2}}\),则\(a\)的值为(    )

              A.\(-3\)
              B.\(2\)
              C.\(-3\)或\(2\)
              D.\(3\)或\(-2\) 
            • 2.

              已知过点\(P(3,2m)\)和点\(Q(m,2)\)的直线与过点\(M(2,-1)\)和点\(N(-3,4)\)的直线平行,则\(m\)的值是(    )

              A.\(1\)                         
              B.\(-1\)

              C.\(2\)                                              
              D.\(-2\)
            • 3.

              过点\((1,0)\)且与直线\(x-2y-2=0\)平行的直线方程是\((\)  \()\)

              A.\(x-2y-1=0\)               
              B.\(x-2y+1=0\)       
              C.\(2x+y-2=0\)                 
              D.\(x+2y-1=0\)
            • 4.
              下列说法正确的有(    )
              \(①\)若两条直线的斜率相等,则这两条直线平行;
              \(②\)若\(l\)\({\,\!}\) \(/\!/l\)\({\,\!}_{2}\) ,则\(k\)\({\,\!}_{1}\) \(=k\)\({\,\!}_{2}\)
              \(③\)若两条直线中有一条直线的斜率不存在,另一条直线的斜率存在,则这两条直线垂直;

              \(④\)若两条直线的斜率都不存在且两直线不重合,则这两条直线平行.

              A.\(1\)个                     
              B.\(2\)个

              C.\(3\)个                                         
              D.\(4\)个
            • 5.

              当直线\(l\)和\(l_{2}\)的斜率都存在时,一定有\(k_{1}=k_{2}⇒l_{1}/\!/l_{2}.(\)  \()\)

              A.正确

              B.错误
            • 6.
              以点\(A(4,1)\),\(B(1,5)\),\(C(-3,2)\),\(D(0,-2)\)为顶点的四边形\(ABCD\)的面积为________.
            • 7.

              设曲线\(y=\dfrac{1+\cos x}{\sin x}\)在点\((\dfrac{\pi }{2},1)\)处的切线与直线\(x-ay+1=0\)平行,则实数\(a=\)________.

            • 8.
              若直线\(x-y=1\)与直线\((m+3)x+my-8=0\)平行,则\(m=\) ______ .
            • 9.

              已知两条直线\(l_{1}:x+(1+m)y=2-m\),\(l_{2}:2mx+4y=-16\)平行,则\(m\)的值是(    )

              A.\(1\)  或\(-2\)         
              B.\(-2\)       
              C.\(-1\)     
              D.\(1\)
            • 10.

              经过两条直线\(2x-3y+10=0\)和\(3x+4y-2=0\)的交点,求满足下列条件的直线方程:

              \((1)\)平行于直线\(x-y+1=1\);

              \((2)\)垂直于直线\(3x-y-2=0\).

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