1 . 已知函数f(x)=![](https://img.xkw.com/dksih/QBM/2010/9/1/1569824550993920/1569824556294144/STEM/f8811080eeb1414582e2195bdc982b0a.png)
(1)判断函数f(x)的奇偶性;
(2)若f(x)在区间[2,+∞)是增函数,求实数a的取值范围.
![](https://img.xkw.com/dksih/QBM/2010/9/1/1569824550993920/1569824556294144/STEM/f8811080eeb1414582e2195bdc982b0a.png)
(1)判断函数f(x)的奇偶性;
(2)若f(x)在区间[2,+∞)是增函数,求实数a的取值范围.
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2 . 已知曲线C:![](https://img.xkw.com/dksih/QBM/2015/7/2/1572162397577216/1572162403385344/STEM/d25a322449b54043861047d87de2bf0f.png)
(1)求证:曲线C上的各点处的切线的斜率小于1;
(2)求曲线C上斜率为0的切线方程.
![](https://img.xkw.com/dksih/QBM/2015/7/2/1572162397577216/1572162403385344/STEM/d25a322449b54043861047d87de2bf0f.png)
(1)求证:曲线C上的各点处的切线的斜率小于1;
(2)求曲线C上斜率为0的切线方程.
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3 . 已知定义在
上的函数
是偶函数.
(1)求实数
的值;
(2)判断
在
上的单调性,并用定义法证明;
(3)若
恒成立,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc8e1891d94878d7f995eeda2860b2a2.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781baa37df9e57dca049ee0f7c8b2122.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cf8f12307cb51fa6048fb8f3b00e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 已知函数
,
(1)求证:
;
(2)设
,求证:存在唯一的
使得g(x)图象在点A(
)处的切线
与y=f(x)图象也相切;
(3)求证:对任意给定的正数a,总存在正数x,使得
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d52bee60da5d6b728ed40c002bddcc.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132bbf41e3800bc8b04efc6e5c63b05b.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95236f4dd14fe6df492eb9a0fe869e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bdcfc6c2a634ab7133e64e8ea86596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)求证:对任意给定的正数a,总存在正数x,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a4741ecc8ca87c8243c77850e1afad.png)
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11-12高三上·黑龙江哈尔滨·期末
解题方法
5 . 设函数
,
(1)若对定义域的任意
,都有
成立,求实数
的值;
(2)若函数
在定义域上是单调函数,求实数
的取值范围;
(3)若
,证明对任意的正整数
,不等式
都成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40311f5136a51ebde0d34a270a8babe5.png)
(1)若对定义域的任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b76be0cb464b2a141d76963e5295a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86304c3e26200299a0480641525a283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe7eb5560f0355dae264e297730833e.png)
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2016-12-03更新
|
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4卷引用:2015届江苏省宿迁市重点中学高三下学期期初开学联考理科数学试卷
2015届江苏省宿迁市重点中学高三下学期期初开学联考理科数学试卷2015届江苏省宿迁市重点中学高三下学期期初开学联考文科数学试卷(已下线)2011届黑龙江省哈尔滨六中高三上学期期末考试数学理卷(已下线)2015届江苏省宿迁市重点中学高三下学期期初开学联考理科数学试卷
名校
6 . 已知函数
.
(Ⅰ)讨论函数
在定义域内的极值点的个数;
(Ⅱ)若函数
在
处取得极值,对
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa75aa4fa0015755185f5cf09f5c8ae0.png)
(Ⅰ)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ac9ef79ff932626ab9d94cfcba6e3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2016-12-03更新
|
1283次组卷
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14卷引用:江苏省宿迁市沭阳县潼阳中学2020-2021学年高二下学期第一次月考数学试题
江苏省宿迁市沭阳县潼阳中学2020-2021学年高二下学期第一次月考数学试题2015届内蒙古一机一中高三12月月考文科数学试卷陕西省宝鸡中学2016-2017学年高二下学期第二次月考文数试题宁夏银川2018届高三4月高中教学质量检测数学(理)试题福建省福清华侨中学2018-2019学年高二下学期期末考试(文)数学试题宁夏银川市宁夏大学附属中学2019-2020学年高三上学期第五次月考数学(理)试题2020届新疆实验中学高三上学期第一次月考(理科)数学试题2020届黑龙江省海林市朝鲜族中学高三上学期期末数学(文)试题山东省实验中学2019-2020学年度高二下学期(3月线上)数学阶段测试试题山东省实验中学2019-2020学年高二下学期期中数学试题甘肃省天水市甘谷县2020-2021学年高三上学期第四次检测数学(文)试题山西省晋中市榆次第一中学校2020-2021学年高二下学期数学月考试题江西省上高二中2020-2021学年高二下学期第六次月考数学(理)试题陕西省渭南市蒲城中学2022-2023学年高二下学期期中文科数学试题
13-14高三上·江西吉安·期中
7 . 已知函数
,设曲线
在与x轴交点处的切线为
,
为
的导函数,满足
.
(1)求
;
(2)设
,m>0,求函数
在[0,m]上的最大值;
(3)设
,若对于一切
,不等式
恒成立,求实数t的取值范围.
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/363a663bdedf4f368930e9c3f282e44c.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/a3720f34118b40fa98dea48780b14c66.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/4fcf2cc6f9d740e5874930d4bcd33e9f.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/0f70a6398fd04e9c964e22056bbb7df9.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/b01cd2e17e4040e487571a679a01b622.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/3482d59553d149f88c67645a3747ae28.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/b01cd2e17e4040e487571a679a01b622.png)
(2)设
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/520d8e9ec67948f89304680935a1d36b.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/744ac029540e4e01bca7ab19f3347c8b.png)
(3)设
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/07c4c6355434487996a4a5cc27812fd2.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/d4fa81c778be47d1bf71f8f7450c3c77.png)
![](https://img.xkw.com/dksih/QBM/2015/1/15/1571964423962624/1571964429950976/STEM/483af55c3e05416c9885347ad848a776.png)
您最近一年使用:0次
名校
8 . 如图所示,有一块半径长为1米的半圆形钢板,现要从中截取一个内接等腰梯形部件
,设梯形部件
的面积为
平方米.
![](https://img.xkw.com/dksih/QBM/2015/1/7/1571955005751296/1571955011731456/STEM/7d6d2b3162a84794838ad86f84a5c750.png?resizew=247)
(1)按下列要求写出函数关系式:
①设
(米),将
表示成
的函数关系式;②设
,将
表示成
的函数关系式.
(2)求梯形部件
面积
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/2015/1/7/1571955005751296/1571955011731456/STEM/7d6d2b3162a84794838ad86f84a5c750.png?resizew=247)
(1)按下列要求写出函数关系式:
①设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3873d9146801e1bc13561f1e59a975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff23b631b75241fe146ab645deb9a35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求梯形部件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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2016-12-03更新
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4卷引用:2015届江苏省宿迁市剑桥国际学校高三上学期期中考试数学试卷
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9 . 如图是一个半圆形湖面景点的平面示意图.已知
为直径,且
km,
为圆心,
为圆周上靠近
的一点,
为圆周上靠近
的一点,且
∥
.现在准备从
经过
到
建造一条观光路线,其中
到
是圆弧
,
到
是线段
.设
,观光路线总长为
.
![](https://img.xkw.com/dksih/QBM/2019/5/31/2215505456480256/2218201517416448/STEM/f2a5a74790cd4767a62a7956d710d748.png?resizew=126)
(1)求
关于
的函数解析式,并指出该函数的定义域;
(2)求观光路线总长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fa3aea72ccc36948a4a90f7368f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9ee8474d63b06a57c3cd612c7e87d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd18268d68007bf33d4319b31084321c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5dce032421e95cd180479373776a363.png)
![](https://img.xkw.com/dksih/QBM/2019/5/31/2215505456480256/2218201517416448/STEM/f2a5a74790cd4767a62a7956d710d748.png?resizew=126)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)求观光路线总长的最大值.
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2016-12-03更新
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11卷引用:2015届江苏省宿迁市高三上学期第一次摸底考试数学试卷
2015届江苏省宿迁市高三上学期第一次摸底考试数学试卷2015届江苏省宿迁市高三上学期第一次摸底考试理科数学试卷2015届江苏省宿迁市高三上学期第一次摸底考试文科数学试卷2015届江苏省淮安市高三数学第一次调研测试理科数学试卷2015届江苏省淮安市高三数学第一次调研测试文科数学试卷2015届江苏省盐城市时杨中学高三1月调研理科数学试卷2015届江苏省盐城市时杨中学高三1月调研文科数学试卷广东省中山一中2017-2018学年第二学期高二级第一次段考题文科数学试题安徽省固镇县第一中学2018-2019学年高二5月月考数学(理)试题1安徽省固镇县第一中学2018-2019学年高二5月月考数学(理)试题2(已下线)【全国百强校】北京市第四中学2018-2019学年下学期高二年级期中测试数学试题
名校
10 . 已知函数
(其中
是自然对数的底数),
,
.
(1)记函数
,且
,求
的单调增区间;
(2)若对任意
,
,
,均有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a903745cd2cb536443d07579b606ece5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c15f5b9a0a2a52002bab753062443b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f7f23e7f20dd8bc65a4967cd306782.png)
(1)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d745cbff489c2afdf7d7576ac56cfb29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d1e62aa59b05eac6e8df8b3548003b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b24ff3b1b33d0780307e5d6e003d6ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2016-12-03更新
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7卷引用:2015届江苏省宿迁市高三上学期第一次摸底考试数学试卷