1 . 判断正误(正确的填“正确”,错误的填“错误”)
(1)当
或
或点P在直线l上时,点P到直线
的距离公式仍然适用.( )
(2)当两直线平行时,一条直线上任一点到另一条直线的距离都相等.( )
(3)在用两平行线间的距离公式时,两方程中x,y的系数对应成比例即可.( )
(4)点
到x轴的距离是
.( )
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/601a4fe4960f18539e153430f5078b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33dbb97fe54818289b60c3ae5d4767fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b6e44dd054b54f89e7c237eb1428da.png)
(2)当两直线平行时,一条直线上任一点到另一条直线的距离都相等.
(3)在用两平行线间的距离公式时,两方程中x,y的系数对应成比例即可.
(4)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf0d139c9810361b4971904a943856b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc90d2a965dbe585a0497b26a571ce5.png)
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2 . 判断正误(正确的写正确,错误的写错误)
(1)直线
与
的交点坐标是
.( )
(2)直线
和
的交点有无数个.( )
(3)直线
恒过定点
.( )
(4)直线
经过直线
和
的交点.( )
(1)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1a686b80b8f109a929f58c2de7201d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f907e53abd9e1252b8e7dd4fef9941b5.png)
(3)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9226611a153c9c2bb5c44c35a9118ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c832f2474efe89961ef41e884da7660c.png)
(4)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcaada7649455fbebcdbdbb9a94e6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42498f6e0fc9a61c9857b70a87f02c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7690f62e0b3a59c3ff0c31fe4033de1.png)
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3 . 思维辨析(对的填正确,错的填错误)
(1)连接两平行直线上任意两点,即得两平行直线间的距离.( )
(2)已知直线
,
,则直线
、
间的距离为
.( )
(3)两平行线间的距离是一条直线上任一点到另一条直线的距离,也可以看作是两条直线上各取一点的最短距离.( )
(4)已知两平行直线
,
,则直线
、
间的距离为
.( )
(1)连接两平行直线上任意两点,即得两平行直线间的距离.
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a082eca50a39a40abd12c87ee6fc4819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7861b61837634d2f8b09ef4384e1e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad4e94463a0f22990789c5494916e844.png)
(3)两平行线间的距离是一条直线上任一点到另一条直线的距离,也可以看作是两条直线上各取一点的最短距离.
(4)已知两平行直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f57877de832fb3ea040c122bdc9fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1935a2b08527337f74169f226c9b8872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2b3b099879ada8897398e6b6e720cc.png)
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4 . 思维辨析(正确的写“正确”,错误的写“错误”)
(1)点
,点
之间的距离为
.( )
(2)点
,点
之间的距离为
.( )
(3)已知点
,当
时,
.( )
(4)当A,B两点的连线与坐标轴平行或垂直时,两点间的距离公式不适用.( )
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3acbcf5ca270d1b5edd8982bc8d590c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af13e3c26639ac539f13f559b74a0cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b158cf217bd5de64567432e06b5db0c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af13e3c26639ac539f13f559b74a0cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a00dc6f0af494437c9f98223f3e861f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8753549027087cf892e2f05477e2f9c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/489239aa7b1c5bc36dce01708c650edc.png)
(4)当A,B两点的连线与坐标轴平行或垂直时,两点间的距离公式不适用.
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5 . 思维辨析(对的写正确,错误的写错误)
(1)若点
在直线
上,则
.( )
(2)若两直线的方程组成的方程组有解,则两直线相交.( )
(3)若两直线相交,则交点坐标一定是两直线方程所组成的二元一次方程组的解.( )
(4)若直线
与直线
的交点为
,则
.( )
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5a6145990adf5574f0e0f2fc828ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1773ec03a4c0da31eeb6484f84f2634e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
(2)若两直线的方程组成的方程组有解,则两直线相交.
(3)若两直线相交,则交点坐标一定是两直线方程所组成的二元一次方程组的解.
(4)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9231260a2de7949154b7244bf70785c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09324568f2f3995b2f932e66ee5926ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2feac7a3eaffd79d927bad4a572b5173.png)
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6 . 思维辨析(对的写正确,错的写错误)
(1)当点
在直线
上时,点到直线的距离公式不适用了.( )
(2)点
到直线
的距离为
.( )
(3)直线外一点与直线上一点的距离的最小值就是点到直线的距离.( )
(4)点
到与x轴平行的直线
的距离
.( )
(1)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3783208484c038053c9585a1040223a2.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a8e81a7c7b7b527b13886478dd160c.png)
(3)直线外一点与直线上一点的距离的最小值就是点到直线的距离.
(4)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a92464aa4daf54854c2d4600e25d01c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb44b3341406049b1523459febf42a8.png)
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