1 . 已知函数
的零点从小到大分别为
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841e18965314d5feeaf175120385d29f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb978c7b420799301ed8cdcfda26a127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e23a44c29788c2ffef523252d5c8aaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
A.![]() | B.![]() | C.![]() | D.3 |
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解题方法
2 . 如图,抛物线
和直线
在第一象限内的交点为
.设
是抛物线
上的动点,且满足
,记
.现有四个结论:①当
时,
;②当
时,
的最小值是
;③当
时,
的最小值是
;④无论
为何值,
都存在最小值.其中正确的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32be681ecfdd5463567671d1ee034d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692265c4b64c721bd3e567b8af832b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8198c3b302b3820e86763428eb1e91cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3463ced6030af957f13f9ba05b977c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed45b7bec73a62c63acee8b824c8f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72909a067582ac555dfcf5e740706c7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731945ef62ee40072e0865bb171cebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95080f998b4250d7ec84a678077aad74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6bc5783d03fe4d024be0f084fb02f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99adbd4478d28e56305cfd636b0bc53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ea366f1b3e38506c5aa54dbd9d2484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99adbd4478d28e56305cfd636b0bc53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/5/fbde06cf-c77d-405f-a337-eab95a4b0704.png?resizew=187)
A.1 | B.2 | C.3 | D.4 |
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3 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20bc627e1b7b5053df4fb2d6275ea67e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a7551d073a061eef22c9e127d6deeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5dae9c0c9b9c12667512fdeec39d4fd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 已知实数
满足
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c141b9278762e97930753db448e0e6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd2b448c558044778dd2c07515616785.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
5 . 如图,已知双曲线
的右焦点为F,过点F的直线与双曲线的两条渐近线相交于M,N两点.若
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67533988d89e1bbc0d4f733b3f4f6eb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/13/73339a85-6158-410b-b30d-61f068abdde3.png?resizew=165)
A.![]() | B.![]() | C.2 | D.![]() |
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2023-06-08更新
|
1240次组卷
|
4卷引用:贵州省威宁县第八中学2022-2023学年高二下学期第二次月考数学试题
名校
6 . 已知点G为三角形ABC的重心,且
,当
取最大值时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c0d7181c55bb60eeb9d5a1fdd4b0a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-05-09更新
|
4309次组卷
|
13卷引用:贵州省毕节市2023届高三诊断性考试(三)数学(文)试题
贵州省毕节市2023届高三诊断性考试(三)数学(文)试题贵州省毕节市2023届高三诊断性考试(三)数学(理)试题(已下线)模块二 专题1 解三角形与平面向量湖南省长沙市长郡中学2022-2023学年高一下学期期末数学试题(已下线)河南省南阳市2022-2023学年高一下学期期末数学试题(已下线)第五篇 向量与几何 专题13 奔驰定理 微点2 奔驰定理(二)(已下线)专题06 平面向量-1福建省福清第一中学2024届高三上学期10月月考数学试题江苏省苏州市苏州中学2022-2023学年高一下学期6月月考数学试题(已下线)模块6 平面几何篇 第2讲:向量的数量积与极化恒等式【练】(已下线)专题3-3解三角形压轴综合小题-3(已下线)第六章 平面向量及其应用(压轴题专练)-单元速记·巧练(人教A版2019必修第二册)重庆市第十八中学2023-2024学年高一下学期3月月考数学试题
名校
7 . 已知
,
,则
与
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bea39525fbe7c8fd1c23f3b14ab0cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83928ce84f3e1a4dd950184418ae4d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/628999148202e5ec7735362493ebe582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f203bb2096957010748b9e3f3521734.png)
A.![]() | B.![]() | C.![]() | D.不确定 |
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2023-03-22更新
|
1639次组卷
|
6卷引用:贵州省毕节市2023届高三诊断性考试(二)数学(理)试题
贵州省毕节市2023届高三诊断性考试(二)数学(理)试题(已下线)专题07 导数山东省实验中学2023届高三第一次模拟考试数学试题(已下线)专题03函数与导数(选填2)(已下线)重难点突破01 玩转指对幂比较大小(十大题型)(已下线)专题03 一网打尽指对幂等函数值比较大小问题 (练习)
名校
解题方法
8 . 已知双曲线
:
的左、右焦点分别为
,
,过点
的直线
与双曲线
的左支交于点A,与双曲线
的一条渐近线在第一象限交于点
,且
(O为坐标原点).下列四个结论正确的是( )
①
;
②若
,则双曲线
的离心率
;
③
;
④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5076829e649b3f3866d4a7e07a5713e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697c20fca284394bf5d5b9e5f6d952e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff7a1037eb6722eda89b96d7ad95c64.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65c2898b06801e9d857607fe8acaedc.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a79acea50854cce52cabec408c1188e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752ffc60a91ed077a85829b2c9936940.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51268980423c80194910c03859c1ba6.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e8e7d3cf24ed5e20d3a4e62ed95d5d.png)
A.①② | B.①③ | C.①②④ | D.①③④ |
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2023-05-02更新
|
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5卷引用:贵州省毕节市部分学校2023届高三上学期12月联合考试数学(理)试题
9 . 已知
,
,
,则
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa2a51e5eb280f7044097bb1b3ec7f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d1dcee0a73c37e2b71a45f459252c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c69108a324810e7464761e9b1f9ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-01-14更新
|
429次组卷
|
2卷引用:贵州省毕节市2023届高三上学期第一次教学质量监测理科数学试题
解题方法
10 . 已知函数
,若关于
的不等式
(
是自然对数的底数)在
上恒成立,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46300c1300c051f15f78fe7287f8056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f1467881d86dd83e90db9d24b43428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-07-20更新
|
946次组卷
|
4卷引用:贵州省毕节市2021-2022学年高二下学期联合考试数学(理)试题
贵州省毕节市2021-2022学年高二下学期联合考试数学(理)试题内蒙古自治区通辽市霍林郭勒市2021-2022学年高二下学期期末数学理科试题(已下线)专题3-1 切线、公切线及切线法应用 - 2(已下线)专题05 导数在切线中的相关运用-2