1 . 已知双曲线
的右焦点为
,过右焦点
作斜率为正的直线
,直线
交双曲线的右支于
,
两点,分别交两条渐近线于
两点,点
在第一象限,
为原点.
(1)求直线
斜率的取值范围;
(2)设
,
,
的面积分别是
,
,
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbadddf8d6d2a0f0f16c10100795d867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be92f0e0012a7696c78e3e00513edefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf639890f27a42e1383cc6cfa14117a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bbf417026dc57a5e9ce85359188beec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532d9de08698f61d7c010805c61a4ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c8561afa0f1454ea382a625d000a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d678455f156f5de3f6c0cc78adbe6d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b99d522f019832ececfb82fd2bcb87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30654ba32a8ac50a05dc7e34bba72dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4635ef9bf093c4f65a1dda2d37033e40.png)
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2022-10-16更新
|
959次组卷
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6卷引用:陕西省宝鸡市、汉中市部分校2022-2023学年高三上学期11月期中联考理科数学试题
名校
解题方法
2 . 已知函数
的图象与x轴的两个不同交点的横坐标分别为
,
.
(1)求m的取值范围;
(2)求
的取值范围;
(3)若函数
在
上是减函数、且对任意的
,
,总有
成立,求实数m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c9088e42b60f07b593695561b95d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(1)求m的取值范围;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c847f857b8d1788d4ba414b82840ef5e.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c9088e42b60f07b593695561b95d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8aa778be26da37a06328b4383f8793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b1893722d691f43a754bc89695c2966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7fcdd03dc3e4dbf11d2e871bb1658fb.png)
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2020-11-30更新
|
1382次组卷
|
4卷引用:陕西省西安市碑林区教育局2020-2021学年高一上学期期中教育质量检测数学试题
陕西省西安市碑林区教育局2020-2021学年高一上学期期中教育质量检测数学试题海南省海口市第一中学2021-2022学年高一上学期期中考试数学试题重庆市凤鸣山中学教育集团2022-2023学年高一上学期期中数学试题(已下线)专题04 一元二次函数、方程与不等式常考压轴题型-2021-2022学年高一《新题速递·数学》(人教A版2019)
3 . 已知函数
,且不等式
的解集为
.
(1)求
的值;
(2)求函数
在
上的最大值;
(3)若对于任意
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654523af0dabc44842e2110c5e13d5be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ff2912fd8d93b6e692936d95b727c5.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b6ef0159ffc4b807719e06fad787a9.png)
(3)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2303f6358a305012ccc7bd4a53af4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2022-11-11更新
|
499次组卷
|
2卷引用:陕西省西安市户县四中2022-2023学年高一上学期期中数学试题
名校
解题方法
4 . 已知函数
,
.
(1)求函数
的值域;
(2)求不等式
的解集;
(3)若关于
的方程
在
恰有4个不同的解,求
的取值范围.(直接给出答案,不用书写解答过程).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/364a00857fc8eed77d91d07bcd39e8cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90064385c4633056784c1ae375a2d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24192cace1d2a643fc3a42a5b7ac273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2020-06-24更新
|
963次组卷
|
2卷引用:陕西省西安中学2019-2020学年高一(实验班)下学期期中数学试题
名校
5 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
,对于任意的
,
都有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32f5c6ee5c1b539ce4617808c95ca49.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cc6aecaf7a967b8dfbbeb2892db93d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5d499666f20047af33ad30482efd37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0391e39aaeb4e3cc883b0439d7f69d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf7f0e7eba50a700bba69ad7a17cef62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-04-29更新
|
1469次组卷
|
3卷引用:陕西省榆林市第一中学2021-2022学年高一下学期期中文科数学试题
名校
6 . 已知函数
,若关于
的不等式
的解集为空集,则实数
的取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a534b7e75b18d81a3e3217033807dcce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d38afb7b94a0fe32041033685ce620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-03-15更新
|
986次组卷
|
2卷引用:陕西省西安市第一中学2017-2018学年高二上学期期中考试数学(文)试题
7 . 已知二次函数
,关于
的不等式
的解集为
,(
),设
.
(Ⅰ)求
的值;
(Ⅱ)若函数
的一个极值点是
,求
的值域;
(Ⅲ)若函数
存在三个极值点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb145e4d81c71721c0dcabd187431b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d1d10e3278c5523d0b7344e6b128ccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db50808197f81f61da6de81c0d4abe22.png)
![](https://img.xkw.com/dksih/QBM/2015/4/15/1572074090708992/1572074096271360/STEM/07d992d0ee2d4d0bb78ea13b33cc199e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d977fb6d13ca2e62dbdc66e31e4ff5.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
(Ⅲ)若函数
![](https://img.xkw.com/dksih/QBM/2015/4/15/1572074090708992/1572074096271360/STEM/319dd0b7fc48445383c833c9069651d8.png)
![](https://img.xkw.com/dksih/QBM/2015/4/15/1572074090708992/1572074096271360/STEM/1106b7c59e5e44d7956e57659ef677a8.png)
您最近一年使用:0次
8 . 选考题(请考生在A、B、C三题中任选一题作答,如果全选,则按A题结果计分)
A.已知函数
,
.若不等式
的解集为R,则
的取值范围是 .
B.在直角坐标系
中,以O为极点,x轴正半轴为极轴建立极坐标系,曲线C1的极坐标方程为
,曲线C2的参数方程为
(
为参数,
),则C1与C2有 个不同公共点.
C.已知C点在⊙O直径BE的延长线上,CA切⊙O于A点,若AB=AC,则
.
A.已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc61868afdd4ca3b21604f210456a3b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54cfdace00901347c8cc83b650fd731e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1587c9984a12dbc1565d8c8b44255cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
B.在直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e8e458b5efbae75bb54c6a5e699190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/226faa9a54de1a3ebcd73c31c84381f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e44693550179ddaca2a57c7a1c2694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1bd28da79d86e474d7368db255317bd.png)
C.已知C点在⊙O直径BE的延长线上,CA切⊙O于A点,若AB=AC,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5e00b7e3ee4b70170f98045b958d35.png)
![](https://img.xkw.com/dksih/QBM/2015/4/15/1572074090708992/1572074096115712/STEM/b8b4f4e8b8ee4d20883d1021e78a669a.png)
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