名校
解题方法
1 . 已知坐标原点在直线
上的射影为点
,则为
,
必然满足的关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4df10c927d23acb6afcc562968b24eb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf0d139c9810361b4971904a943856b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f9185c7d48b015d9cd0525616b31.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
2 . 下列命题:
①
中,若
,则
;
②若
,
,
为
的三个内角,则
的最小值为
;
③已知
,则数列
中的最小项为
;
④函数
的最小值为
.
其中所有正确命题的序号是______ .
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d0b9c0c01b49be6e08a111568f77f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b6662c6f84e1c97c9d05d9ae62c1eb.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22b0859248973d51cd8eeafe373700a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/206f73d2f0fa051e76a60bd574c6ab3c.png)
③已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45496106b492a50c77d472d91463c888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a245373cb2db163f5ab4375431db3cad.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7da6fbf767f88d0f43e336957fee85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6ad68f10f098feda5d9b94636bf752.png)
其中所有正确命题的序号是
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3 . 下列说法中,不正确的有( )
A.若![]() ![]() ![]() ![]() ![]() |
B.若直线![]() ![]() ![]() ![]() ![]() |
C.已知点![]() ![]() ![]() ![]() ![]() |
D.若集合![]() ![]() ![]() ![]() |
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2023-11-21更新
|
116次组卷
|
2卷引用:四川省遂宁市蓬溪县蓬溪中学2023-2024学年高二上学期半期数学试题
名校
4 . 下列结论正确的是( )
A.直线![]() ![]() ![]() |
B.已知直线l过定点![]() ![]() ![]() |
C.经过点![]() ![]() |
D.已知![]() ![]() ![]() ![]() |
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2021-11-14更新
|
399次组卷
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4卷引用:四川省凉山州宁南中学2023-2024学年高二上学期期末模拟数学试题(一)
5 . 直线
分别与直线
和
交于
,
两点,
与
交于点
,
为坐标原点,当
到
的距离最大时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ffe059ba40701eeceaabf96b38a0d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d74a7594d973d14d558604f88067b051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e3d542652849859c1187033b59b52ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](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/634f94115d7f2c784732e51975bd7dcd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-08-06更新
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4卷引用:四川省达州市2020-2021学年高一下学期期末数学(文)试题
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6 . 已知点
,圆Q:
(Q为圆心).经过点P,Q的圆的圆心为M,且圆M与圆Q相交于A,B两点.
(1)当点M在y轴上时,求圆M的标准方程;并说明此时直线PA,PB都不是圆Q的切线;
(2)求线段AB长度的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e262b7599fda82ae392ac10df97feff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5781ce1572bac50ec51f92f2610ee1ea.png)
(1)当点M在y轴上时,求圆M的标准方程;并说明此时直线PA,PB都不是圆Q的切线;
(2)求线段AB长度的取值范围.
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2023-11-21更新
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105次组卷
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2卷引用:四川省遂宁市蓬溪县蓬溪中学2023-2024学年高二上学期半期数学试题
解题方法
7 . 如图是台球赛实战的一个截图.白球在
点处击中一球后,直线到达台球桌内侧边沿点
,反弹后直线到达台球桌内侧另一边沿点
,再次反弹后直线击中桌面上点
处一球.以台球桌面内侧边沿所在直线为坐标轴建立如图所示的平面直角坐标系.已知
,
.
![](https://img.xkw.com/dksih/QBM/2021/7/1/2754872792399872/2780215330521088/STEM/1ecd5ad9-6805-4445-8480-b614dd82b3fc.png?resizew=355)
(1)求直线
的方程;
(2)若点
的坐标是
,求
.
(提示:直线
与直线
的斜率互为相反数,
.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d8f8f9a0d33fe55f7734f6278db6c0.png)
![](https://img.xkw.com/dksih/QBM/2021/7/1/2754872792399872/2780215330521088/STEM/1ecd5ad9-6805-4445-8480-b614dd82b3fc.png?resizew=355)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da935dce772e193b50f397c5c13d938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(提示:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bdb3995265a321989202ff01001013d.png)
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2021-08-06更新
|
379次组卷
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4卷引用:四川省达州市2020-2021学年高一下学期期末数学(文)试题
四川省达州市2020-2021学年高一下学期期末数学(文)试题四川省达州市2020-2021学年高一下学期期末数学(理)试题(已下线)专题2.5 直线的方程(二)-重难点题型精讲-2021-2022学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)专题2.5 直线的方程(二)-重难点题型精讲-2022-2023学年高二数学举一反三系列(人教A版2019选择性必修第一册)
8 . 已知O,F分别是抛物线
的顶点和焦点,动点M与点O的距离是它与点F的距离的一半.
(1)求动点M的轨迹;
(2)若过点
的直线l与动点M的轨迹有且只有一个交点,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38819052eaceacf69b41b33bcde9e112.png)
(1)求动点M的轨迹;
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86022205a7487439dd8d0897cd3bf19.png)
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2卷引用:四川省眉山市2021-2022学年高二上学期期末数学(理)试题
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9 . 以原点为圆心的圆全部都在平面区域
内,则圆的面积的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24674044901ea0954fb2f1c4352a29e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:四川省成都市锦江区嘉祥外国语高级中学2022届高考适应性考试理科数学试卷二
10 . 已知
有且只有一个零点
,且
.
(1)求
的取值范围;
(2)若点
到直线
的距离为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dca02a6fd6775912beb45f9fe044584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5cbf1211335bcbc0ebb05414669eda0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096be2c9d4d8c10b1584a579d288fef4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c375d40031c6c5d7459dab596623af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55286945a57ad59b5afb424de9dea480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f13f113c5e4bdfeb80d5d0a8dcbf77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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