1 . 设直线
,一束光线从原点
出发沿射线
向直线
射出,经
反射后与
轴交于点
,再次经
轴反射后与
轴交于点
.若
,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aefcbc03a5c916ebb20f891a0fe7e0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2c243b228f84a2692cbfb94d56dead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec67fc772c2bf12ec180bddc8b30432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
2 . 在学习推理和证明的课堂上,王老师给出两个曲线方程
,问同学们:你想到了什么?能得到哪些结论?下列是两位同学的回答:甲:曲线
关于
对称;曲线
关于原点对称;乙:曲线
与坐标轴在第一象限围成的图形面积
;曲线
与坐标轴在第一象限围成的图形面积
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7284a400ead6e9eba02f326bc10564a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585709cb7afdaa0127f466c45e42883d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31dfce091ef8c7874d6209eef3bbb9f.png)
A.甲、乙两人都对 | B.甲、乙两人都不对; |
C.甲对,乙不对 | D.乙对,甲不对. |
您最近一年使用:0次
23-24高二上·江苏·期中
解题方法
3 . 已知直线
分别交
轴、
轴的正半轴于点A,B,O为坐标原点.
(1)若
,求实数
的值;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64364ad6efba40fbadbe07aacf3b4eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48867e261c61d24a0a1a4f7ff4627c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a99d2c4a23825f62aadcc40822b5eb.png)
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4 . 直线
过点
,则直线
与
轴正半轴、
轴正半轴围成三角形面积的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170cf2cc33dae91cd546e15f4683330d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
解题方法
5 . 已知直线
过点
.
(1)若
在两坐标轴上的截距相等,求
的方程;
(2)设
为坐标原点,若
与
轴正半轴交于点
与
轴正半轴交于点
,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b51140a0af721ff4b1e0220036423df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
您最近一年使用:0次
解题方法
6 . 设
为实数,直线
.
(1)求证:不论
为何值,直线必过定点
,并求出定点
的坐标;
(2)过点
引直线
,使它与两坐标轴的正半轴的截距之和最小,求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61fbd2f04e1d6ffab5d2ba2ee7dc0497.png)
(1)求证:不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
您最近一年使用:0次
2023-12-18更新
|
250次组卷
|
2卷引用:江苏省宿迁市泗阳县2023-2024学年高二上学期11月期中数学试题
名校
解题方法
7 . 在平面直角坐标系中,
为坐标原点,过点
作直线
.
(1)若直线
在两坐标轴的截距相等,求直线
的方程;
(2)若直线
分别与
轴正半轴、
轴正半轴交于点
.求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae104d6d67d114b588a5680b124b0e45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff92ef23dd31bb91ece0b416b231fd40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78aba8818e83c6872966e531a9e3ded.png)
您最近一年使用:0次
名校
解题方法
8 . 已知直线l:
,
.
(1)证明:直线l过定点P,并求出P点的坐标;
(2)直线l与坐标轴分别交于点A,B,当截距相等时,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46cdaabeba7bc76e90efc81655c271e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)证明:直线l过定点P,并求出P点的坐标;
(2)直线l与坐标轴分别交于点A,B,当截距相等时,求直线l的方程.
您最近一年使用:0次
9 . (多选题)下列说法正确的是( )
A.任何直线都有斜率 |
B.若方程![]() ![]() |
C.经过点![]() ![]() |
D.圆![]() ![]() |
您最近一年使用:0次
10 . 已知直线
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0227c8a365a6273bac498f4389b904ae.png)
A.直线![]() ![]() |
B.当![]() ![]() ![]() ![]() |
C.点![]() ![]() ![]() |
D.与两坐标轴围成的三角形面积为2的直线![]() |
您最近一年使用:0次