解题方法
1 . 设函数
,对于下列四个判断:
①函数
的一个周期为
;
②函数
的值域是
;
③函数
的图象上存在点
,使得其到点
的距离为
;
④当
时,函数
的图象与直线
有且仅有一个公共点.
正确的判断是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c2f37b025f77be6c1cb307e3d5b4683.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e270ab87afa5958e8d226f535be2474.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31aba8ca22579a6d5eed632aecff4548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
正确的判断是( )
A.① | B.② | C.③ | D.④ |
您最近一年使用:0次
2 . 已知函数
.
(1)当
时,求
的单调递增区间;
(2)设直线l为曲线
的切线,当
时,记直线l的斜率的最小值为
,求
的最小值;
(3)当
时,设
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8f2f805576e3cbaff4b1d0f8c9a503.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设直线l为曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a7bfd399a358e122c8add5530a8e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1a0c9f001e9509422a9be2c198a88e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec74068a5a9efcdb7f7813f03db53a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
解题方法
3 . 已知无穷数列
满足:①
;②
(
;
;
).设
为
所能取到的最大值,并记数列
.
(1)若
,写出一个符合条件的数列A的通项公式;
(2)若
,求
的值;
(3)若
,求数列
的前100项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6b7c794c3329ca99a71eb07c4a7b5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed8d9def91c6734e75134ef49ba0418a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a21caee5b908cd571bf28d61be90aa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228114fab3c07bc63978df7e2dc31953.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8faa0cc59f291d53f801546d5dabe6fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fa5e5f1551d40f96a03ca6975e68f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d00457e8d086f28ea1b24bd880c9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297bc58fc87efa1f15d7eb9b5eb42260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fb6fbf69268bc82274bc7ff03010c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51cf6e2a57173496d722a325ffd16af.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e35c9a35017d2fdcd10f76b4a776419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879ed18e2aaf5ef408be9e6ac8d9e30a.png)
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2022-05-30更新
|
1420次组卷
|
5卷引用:北京市东城区2022届高三下学期综合练习(三)数学试题
北京市东城区2022届高三下学期综合练习(三)数学试题(已下线)2022年新高考北京数学高考真题变式题13-15题(已下线)2022年新高考北京数学高考真题变式题19-21题北京卷专题18数列(解答题)(已下线)专题11 数列前n项和的求法 微点8 分组法求和
名校
4 . 新型冠状病毒肺炎(
)严重影响了人类正常的经济与社会发展.我国政府对此给予了高度重视,采取了各种防范与控制措施,举国上下团结一心,疫情得到了有效控制.人类与病毒的斗争将是长期的,有必要研究它们的传播规律,做到有效预防与控制,防患于未然.已知某地区爆发某种传染病,当地卫生部门于
月
日起开始监控每日感染人数,若该传染病在当地的传播模型为
(
表示自
月
日开始
(单位:天)时刻累计感染人数,
的导数
表示
时刻的新增病例数,
),根据该模型推测该地区新增病例数达到顶峰的日期所在的时间段为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fb514a88616c64726e724b305e8491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d447cbba352b93626ec471332574b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7f2b20f6b89021a4268614ce55d497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7f2b20f6b89021a4268614ce55d497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36a85a8a8cc3625cf4619c73a573b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5826b16fca136ccf99eaa1aae375addc.png)
A.![]() ![]() ![]() ![]() | B.![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() ![]() | D.![]() ![]() ![]() ![]() |
您最近一年使用:0次
2022-04-01更新
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898次组卷
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5卷引用:北京市东城区2023届高三一模数学试题查漏补缺练习试题(1)
5 . 曲线
在点
处的切线
交
轴于点
.
(1)当
时,求切线
的方程;
(2)
为坐标原点,记
的面积为
,求面积
以
为自变量的函数解析式,写出其定义域,并求单调增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/023178ff4f956f96c4a184118843506b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4613215a19b36d6bdfb90385e51ee71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb54188bbb69622b5c351e2586c3f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
6 . 阿基米德螺线广泛存在于自然界中,具有重要作用. 如图,在平面直角坐标系
中,螺线与坐标轴依次交于点
,
,
,
,
,
,
,
,并按这样的规律继续下去. 给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/3ca3380b-545e-4e3b-b76e-8ce7a38b2295.png?resizew=214)
①对于任意正整数
,
;
②存在正整数
,
为整数;
③存在正整数
,三角形
的面积为
;
④对于任意正整数
,三角形
为锐角三角形.
其中所有正确结论的序号是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17584c9b8f4e48c3a8e0a7c8ac626d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920e36afc62923f2dda82631490fc547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ac934c7b049be27290784a9478c82e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1511466ac46376133963f9276381a83b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118c102d0a174e5521ec58a2c357bb7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cefa8b3307f16206f2792bfe611e034d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e1334862f58291d998975c5f571c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098eaf2a270d549f7e292d199c8b2906.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/3ca3380b-545e-4e3b-b76e-8ce7a38b2295.png?resizew=214)
①对于任意正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e611ea48a878cd03f800b0a6cbd982d.png)
②存在正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5d6940ef122dcb071e361c7161c82b.png)
③存在正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad64a12f4337c1ce6236b9b2aae324b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d01dd350dc95f42f1883e0cc7aae084.png)
④对于任意正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad64a12f4337c1ce6236b9b2aae324b3.png)
其中所有正确结论的序号是
您最近一年使用:0次
名校
7 . 某生物种群的数量Q与时间t的关系近似地符合
.
给出下列四个结论:
①该生物种群的数量不会超过10;
②该生物种群数量的增长速度先逐渐变大后逐渐变小;
③该生物种群数量的增长速度与种群数量成正比;
④该生物种群数量的增长速度最大的时间
.
根据上述关系式,其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef68c3c07309c12f4117c24a356bdd77.png)
给出下列四个结论:
①该生物种群的数量不会超过10;
②该生物种群数量的增长速度先逐渐变大后逐渐变小;
③该生物种群数量的增长速度与种群数量成正比;
④该生物种群数量的增长速度最大的时间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e50cd9d22729ef8358bae8761622f6.png)
根据上述关系式,其中所有正确结论的序号是
您最近一年使用:0次
2021-11-04更新
|
927次组卷
|
6卷引用:北京市东直门中学2023届高三上学期期中考试数学试题
北京市东直门中学2023届高三上学期期中考试数学试题北京市海淀区2022届高三上学期期中练习数学试题北京市育才学校2022届高三12月月考数学试题北京市顺义区杨镇第一中学2023届高三上学期10月月考数学试题北京市汇文中学2023届高三上学期期中考试数学试题(已下线)第5章 导数及其应用 单元综合检测(重点)(单元培优)-2021-2022学年高二数学课后培优练(苏教版2019选择性必修第一册)