解题方法
1 . 如图所示,现有一个直角三角形材料,
,想要截得矩形CDEF,点E在边AB上,记矩形CDEF的面积为S,
的面积为T.已知
,设
,
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/71d8244e-cb49-4275-b100-7cef1c8dc54e.png?resizew=118)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cced8982712dd0ed53b56af71f4bf31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b483174c3f73ae0112a49f2f2e2b3e4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50349b20b5e209c4afbba96aa76b5e75.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/71d8244e-cb49-4275-b100-7cef1c8dc54e.png?resizew=118)
A.![]() | B.![]() |
C.当S取最大值时,![]() | D.当S取最大值时,![]() |
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解题方法
2 . 设函数
,
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04beea76c59a6c5b096d8c5a3b77f8a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2a59e758e52ec123f79eafb893718e.png)
A.![]() ![]() | B.函数![]() ![]() |
C.函数![]() ![]() | D.![]() ![]() ![]() |
您最近一年使用:0次
2023-12-14更新
|
88次组卷
|
2卷引用:云南省曲靖市曲靖二中云师高级中学2023-2024学年高一上学期11月期中考试数学试卷
名校
解题方法
3 . 如图所示,若将边长为
的正方形纸片
折叠,使得点
始终落在边
.(不与点
重合),记为点
,点
折叠以后对应的点记为点
为折痕.设点
和点
间的距离为
,折痕
的长度为
,四边形
的面积为
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b1fe1b971b780e443a9b13621611c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/243cdaf33d01bbb6bc3c9c514c00285f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3160fce05b551569b8c7b5de6dd8b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea810d57d5f7e069b202d5dff4f35283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bedde879f99aed69d745d5ec8fe62084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8f9c4048d29b6c50b5a750f3d35b99.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/033819c4-a699-4bbb-8d87-6ce6e5f3a42e.png?resizew=174)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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解题方法
4 . 已知
,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5704261dc1b7f99cc8e6b217d869c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8407a79a35b42bd01409c85d2ccf2bc7.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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解题方法
5 . 已知函数
.
(1)若
,写出不等式
的解集;
(2)从下列条件中只选出一个条件作答,使得函数
在
上有最小值,把选出的条件填在横线上,并写出
的单调区间及最小值;__________.(若选择的条件没有最小值,则本小题不得分)
①
;②
;③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0377ee50123c2b689ae92f391ab5f387.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)从下列条件中只选出一个条件作答,使得函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69abe959988e4c8c0739f5857ccfb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
,则下列选项正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5393e06c13d2959f480790e41e176962.png)
A.![]() |
B.函数![]() |
C.函数![]() |
D.函数![]() ![]() |
您最近一年使用:0次
2022-11-30更新
|
726次组卷
|
2卷引用:辽宁省六校协作体2022-2023学年高一上学期期中考试数学试题
名校
解题方法
7 . 已知实数
,且函数
,
,
,
,
,当
时,
的最小值记为
.
(1)若
,求函数
的单调递减区间;
(2)
,
,
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a380067a20c25338eb0312e8df6c2760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7051b8cbec548d942b62fd290db4460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383330e8699c6ce53da6c5aaa70097d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442a82cb501aeda22a086a2fe7ef7cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e9ac469995de3fcccf9300fbe8c68b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edb160b3d56fdc5cb2123cbcac44c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7341e9d43f8456a913620d9938205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6dd3fa42436802a270cd2ff46ba51d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be555d216bf07f824f3164f05e1cb72.png)
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2022-11-11更新
|
704次组卷
|
3卷引用:福建省龙岩市一级校联盟(九校)联考2022-2023学年高一上学期期中考数学试题
解题方法
8 . 设
,且函数
的定义域为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233a6b1f67235cabb5685192c6ffb495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e008d3eded374f28a65e938fed072cb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfdd3d02b54e997cbec983d80f6bafd.png)
A.![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.函数![]() |
您最近一年使用:0次
21-22高一·湖南·课后作业
解题方法
9 . 如图,某地为了开发旅游资源,欲修建一条连接风景点P和居民区O的公路.点P所在的山坡面与山脚所在水平面a所成的二面角为
(
),且
,点P到平面
的距离
.沿山脚原有一段笔直的公路AB可供利用,从点O到山脚修路的造价为a万元/km,原有公路改建费用为
万元/km.当山坡上公路长度为lkm(
)时,其造价为
万元.已知
,
,
km,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/bef28af2-56e0-49a9-af9a-0c8027246164.png?resizew=335)
(1)在AB上求一点D,使沿折线PDAO修建公路的总造价最小.
(2)对于(1)中得到的点D,在DA上求一点E,使沿折线PDEO修建公路的总造价最小.
(3)在AB上是否存在两个不同的点
,
,使沿折线
修建公路的总造价小于(2)中得到的最小总造价?证明你的结论.
(4)你能将上述模型进行推广,解决其他的实际问题吗?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e552716f71ddda6b1566fcb7eb11f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0503736d21c5e5432d933990cf511c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e44c9fc2c1027871b515ecae512697a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576833b76e9cad3b523f87132308df99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2efaee719378c9935f66457ea4ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48dc9c56c4d2ed0d3529460ef2cf8f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ac747fa7e033b09ab20370fd27d5be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e4c39ba72d14560e283ad7f75353a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9f245074b6850c0d6ec9d07e9b8950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6647cc9d3aeabb2ebdb7e692351ebd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/bef28af2-56e0-49a9-af9a-0c8027246164.png?resizew=335)
(1)在AB上求一点D,使沿折线PDAO修建公路的总造价最小.
(2)对于(1)中得到的点D,在DA上求一点E,使沿折线PDEO修建公路的总造价最小.
(3)在AB上是否存在两个不同的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b3bd5e6bc2a0a277d279bb01af9584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b1a5427d8ff23df0f3ec194756c84c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6003623c3413d3e2a3c1e41049fa31b2.png)
(4)你能将上述模型进行推广,解决其他的实际问题吗?
您最近一年使用:0次
名校
解题方法
10 . 已知
,函数
.
(1)若
有两个零点
,且
的最小值为
,当
时,判断函数
在
上的单调性,并说明理由;
(2)设
,记
为集合
中元素的最大者与最小者之差.若对
,
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b3f51410d969f9fb41a595a028a6f06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0268e85df43d66b031e0eccb11284452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f88a76f947e7022ef0c5efd6db060c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3c6cdb19ac03dc3c28cd63b09dc907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4802dfb4352b1162b6cda12fa469f91e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc20d351d51723c9b0a07a20ac14114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0225bca34eaf19544939b29153aac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0e3589ab6dda85eb6dc9cab30878f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff5474708041244835175778925a7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8119e4e1c474bc2adbe014628043609.png)
您最近一年使用:0次
2022-01-23更新
|
376次组卷
|
3卷引用:山东省淄博市2021-2022学年高一上学期期末数学试题
山东省淄博市2021-2022学年高一上学期期末数学试题(已下线)重难点03函数(15种解题模型与方法)(4)广东省东莞市东华高级中学、东华松山湖高级中学2023-2024学年高一上学期12月月考数学试题