优优班--学霸训练营 > 知识点挑题
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            • 1.

              过点\(P\left( 1,2 \right)\),并且在两坐标轴上的截距相等的直线方程是

              A.\(x+y-3=0\)\(x-2y=0\)
              B.\(x+y-3=0\)\(2x-y=0\)
              C.\(x-y+1=0\)或\(x+y-3=0\)
              D.\(x-y+1=0\)或\(2x-y=0\)
            • 2.

              下面给出四个命题的表述:

              \(①\)直线\((3+m)x+4y-3+3m=0(m∈R)\)恒过定点\((-3,3)\);

              \(②\)线段\(AB\)的端点\(B\)的坐标是\((3,4)\),\(A\)在圆\(x^{2}+y^{2}=4\)上运动,则线段\(AB\)的中点\(M\)的轨迹方程\({{\left( x-\dfrac{3}{2} \right)}^{2}}+{{(y-2)}^{2}}=1\);

              \(③\)已知\(M=\left\{ \left.\left(x,y\right) \right|y= \sqrt{1-{x}^{2}}\right\} \),\(N=\{(x,y)|y=x+b\}\),若\(M∩N\neq \varnothing \),则\(b∈\left[- \sqrt{2}, \sqrt{2}\right] \);

              \(④\)已知圆\(C:(x-b)^{2}+(y-c)^{2}=a^{2}(a > 0,b > 0,c > 0)\)与\(x\)轴相交,与\(y\)轴相离,则直线\(ax+by+c=0\)与直线\(x+y+1=0\)的交点在第二象限.

              其中表述正确的是  \((\)    \()\)

              A.\(①②④\)
              B.\(①②③\)
              C.\(①③\)
              D.\(①②③④\)
            • 3.
              已知直线: 经过原点,则直线 被圆 截得的弦长是

                

              A.           
              B.            
              C.         
              D.
            • 4.
              已知直线\(l_{1}\):\(2x-y+1=0\),直线\(l_{2}\)与\(l_{1}\)关于直线\(y=-x\)对称,则直线\(l_{2}\)的方程为\((\)  \()\)
              A.\(x-2y+1=0\)
              B.\(x+2y+1=0\)
              C.\(x-2y-1=0\)
              D.\(x+2y-1=0\)
            • 5. 已知 \(f\)\(( \)\(x\)\()\)是一次函数,且\(2\) \(f\)\((2)-3\) \(f\)\((1)=5\),\(2\) \(f\)\((0)-\) \(f\)\((-1)=1\),则 \(f\)\(( \)\(x\)\()\)的解析式为\((\)  \()\)
              A.\(3\) \(x\)\(-2\)              
              B.\(3\) \(x\)\(+2\)                
              C.\(2\) \(x\)\(+3\)               
              D.\(2\) \(x\)\(-3\)
            • 6. 已知直线l1:2x-y+1=0,直线l2与l1关于直线y=-x对称,则直线l2的方程为(  )
              A.x-2y+1=0
              B.x+2y+1=0
              C.x-2y-1=0
              D.x+2y-1=0
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