名校
解题方法
1 . 如图是抛物线
的部分图像,其顶点为
,与
轴交于点
,与
轴的一个交点为
,连接
,
.以下结论:①常数
;②抛物线经过点
;③
;④当
时,
.其中正确的是( ).
![](https://img.xkw.com/dksih/QBM/2022/8/13/3043495724072960/3043861762293760/STEM/129d3f4d7ac84ee5a5c23d06269f44a9.png?resizew=156)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21bb24251c940bd22c1e272e72d9f601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0e705301752424a492f6277ed7774e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cfef623a9534b5708df5f95f1760a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367e788c32187ae2cc97aaa24da1d40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a3619ccbcf65312754a970647014e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddc877ee6aa751e01e237b1a1473d9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f335d5ce2be64f54a4be49ca8e559de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://img.xkw.com/dksih/QBM/2022/8/13/3043495724072960/3043861762293760/STEM/129d3f4d7ac84ee5a5c23d06269f44a9.png?resizew=156)
A.①③ | B.②③ | C.②④ | D.①④ |
您最近一年使用:0次
2022-08-14更新
|
186次组卷
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2卷引用:四川省成实外教育集团学校2021-2022学年高一上学期新生入学统考数学试题
2 . 如图,在菱形
中,
,
,点
为边
上一个动点,延长
到点
,使
,且
、
相交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/224984a3-22af-4e9d-b1fb-b3fcee697cd0.png?resizew=562)
(1)当点
运动到
中点时,证明:四边形
是平行四边形;
(2)当
时,求
的长;
(3)当点
从点
开始向左运动到点
时,求点
运动路径的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac3d3b55561ec5d4acc242ecd1c7f41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/224984a3-22af-4e9d-b1fb-b3fcee697cd0.png?resizew=562)
(1)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c78b5b3732d43103e575dbb3e1b95d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6f6c04bc017ced739230d14ba31948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
(3)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/895dc3dc3a6606ff487a4c4863e18509.png)
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3 . 某镇为创建特色小镇,助力乡村振兴,决定在辖区的一条河上修建一座步行观光桥,如图,该河旁有一座小山,山高
,坡面AB的坡度
(注:从山顶B处测得河岸E和对岸F的俯角分别为
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/15/4454a6ae-3298-449c-bd99-87cd62348d9a.png?resizew=385)
(1)求山脚A到河岸E的距离;
(2)若在此处建桥,试求河宽EF的长度.(结果精确到0.1m)
(参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8250f97ba4d6a07c1ec1c07cd577103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/747eb50be46bd9892f6fd2d39907a6e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30542b942e3bcbcff9b9fcf75a2b5366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297ef98dec3515eb432ebd8758cb4e76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/15/4454a6ae-3298-449c-bd99-87cd62348d9a.png?resizew=385)
(1)求山脚A到河岸E的距离;
(2)若在此处建桥,试求河宽EF的长度.(结果精确到0.1m)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b659daf103d2d3f906c274a2532e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41385beeda899e295ae092fa47ec8a30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d249aadf01efdd3dbc712ef5f58348.png)
您最近一年使用:0次
名校
4 . 第
届世界大运会将在成都召开,某网络经销商购进了一批以成都大运会为主题的文化衫进行销售,文化衫的进价为每件
元,当销售单价定为
元时,每天可售出
件,每销售一件需缴纳网络平台管理费
元,为了扩大销售,增加盈利,决定采取适当的降价措施,经调查发现:销售单价每降低
元,则每天可多售出
件(销售单价不低于进价),若设这款文化衫的销售单价为
(元),每天的销售量为
(件).
(1)求每天的销售量
(件)与销售单价
(元)之间的函数关系式;
(2)当销售单价为多少元时,销售这款文化衫每天所获得的利润最大,最大利润为多少元?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34584b79ec2246f47aeed8855d2762c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53c7539ed297ea63b9ace6f5cc58ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa86faa9bfef703aead8c2606684dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求每天的销售量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)当销售单价为多少元时,销售这款文化衫每天所获得的利润最大,最大利润为多少元?
您最近一年使用:0次
2022-08-13更新
|
230次组卷
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3卷引用:四川省成实外教育集团学校2021-2022学年高一上学期新生入学统考数学试题
四川省成实外教育集团学校2021-2022学年高一上学期新生入学统考数学试题(已下线)专题3.7 函数的应用(一)-重难点题型精讲-2022-2023学年高一数学举一反三系列(人教A版2019必修第一册)河南省郑州市第十九高级中学2022-2023学年高三上学期8月月考文科数学试题
5 . (1)计算:
;
(2)解不等式组:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b1f5e8369ff1939ad6dc74688dbd6b.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdcfe579029c103167046cae43c31b33.png)
您最近一年使用:0次
6 . 如图,在平面直角坐标系xOy中,正比例函数
和二次函数
的图像都经过点
和点B,过点A作OA的垂线交x轴于点C.D是线段AB上一点(点D与点A、O、B不重合),E是射线AC上一点,且
,连接DE,过点D作x轴的垂线交抛物线于点F,以DE、DF为邻边作
.
![](https://img.xkw.com/dksih/QBM/2022/8/13/3043495724072960/3043861764259840/STEM/3ddabd951da840758b8a676970ed59e6.png?resizew=490)
(1)填空:
______,
______;
(2)设点D的横坐标是
,连接EF.若
,求t的值;
(3)过点F作AB的垂线交线段DE于点P.若
,求OD的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa841ce5d58b64f747a3c1b69bb20a5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcc62e5df574a96c4a763c4e88bdde2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397d7476fadbc4f22e4c7c4fd693a57f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ff8122b583388bcb1c3485c8f1974f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196be9625865a5bbed79fa88a368ff1e.png)
![](https://img.xkw.com/dksih/QBM/2022/8/13/3043495724072960/3043861764259840/STEM/3ddabd951da840758b8a676970ed59e6.png?resizew=490)
(1)填空:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
(2)设点D的横坐标是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf4b43b6792b9ae78a1c8cae4e60524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419d6f84cf434d3d0b1a9b91eb0a81c8.png)
(3)过点F作AB的垂线交线段DE于点P.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bb765c498b2bbb9446def26e78002e6.png)
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7 . A,B为抛物线
上的两动点,且
.连接AB,过点O作
于C,则C到y轴距离的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ee07ef9b44ee997d16671f354c3bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771b610e4ddefa739a985d1e5462ce5a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/14/ccb755d6-7550-4014-8616-d4afcc2faf8a.png?resizew=168)
您最近一年使用:0次
8 . 如图,等腰三角形ABC,
,
,
,D为BC的中点,
,设
,
的面积为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
______ .(试用含a的代数式表示S).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b939af5ba06e279cce39396aaf0fae06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f86b0835b4360ba6c7f90bcf4b7490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4873be1b3b4f48cc0d710bee422659b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3319509bbd6b74f077bc88681d7be74d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
![](https://img.xkw.com/dksih/QBM/2022/8/13/3043495724072960/3043861763964928/STEM/b9f6e1f75cb64739a4a84225172b8937.png?resizew=311)
您最近一年使用:0次
名校
9 . 如图,
是
的外接圆,连接
,若
,则
的度数为( ).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/14/8ea2f6b3-3ec9-4ded-ac98-689abe749009.png?resizew=144)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8044faecc4d5a611814a7f1e64dbf8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a43149bfa4ff7c541306e0525e4004c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/14/8ea2f6b3-3ec9-4ded-ac98-689abe749009.png?resizew=144)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-08-13更新
|
67次组卷
|
2卷引用:四川省成实外教育集团学校2021-2022学年高一上学期新生入学统考数学试题
名校
10 . 如图1,B为
上一点,点A在直径CD的延长线上,且
.
![](https://img.xkw.com/dksih/QBM/2022/8/13/3043495724072960/3043861763465216/STEM/f741a8cf7cf746e28721278e055de283.png?resizew=394)
(1)判断直线AB与
的位置关系,并说明理由;
(2)若
,
,求
的半径;
(3)如图2,在(2)的条件下,
的平分线BE交
于点E,交CD于点F,连结CE.求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab15ddaa9674941efb0bf6367a29dc1b.png)
![](https://img.xkw.com/dksih/QBM/2022/8/13/3043495724072960/3043861763465216/STEM/f741a8cf7cf746e28721278e055de283.png?resizew=394)
(1)判断直线AB与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2137127fa934ac4522f420217827b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(3)如图2,在(2)的条件下,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76bc8e50eeccced1d7f3bc52e09a7d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ec4c95a2d915a53e077204fc1e9523.png)
您最近一年使用:0次
2022-08-13更新
|
70次组卷
|
2卷引用:四川省成实外教育集团学校2021-2022学年高一上学期新生入学统考数学试题