1 . 若函数
,
对
恒成立,则实数
的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8351110ff36ec613d18193bdb46f9adf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fabf7c6cf665403e4a4b9b4c99c66e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
2 . 设甲:
,乙:
.
(1)当
时,求甲中不等式的解集;
(2)若甲是乙的必要不充分条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af0c91248ac1a240b3f3a67b9c06373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a41689b3ffcbe366e39ba4cba1cf82.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
(2)若甲是乙的必要不充分条件,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
3 . 设函数
.
(1)当
,
时,解方程
;
(2)当
时,若不等式
在
上恒成立,求实数
的取值范围;
(3)若
为常数,
在区间
上有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423ec3fe5bdadbccc16a5631e12bbf25.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2028e86df42edc69a10687c01d1168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ce88b57f833ea4023cb7ae7c84ba31.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d3c756a52c9185ae6d02d9b9312f29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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4 . 已知
,
,
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de02aab073adcbad7bb60fa9fd30ee7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f901f4690f2333d6fc3199dea35bae6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b495d8cde8a2fd2b8c330bf7ecd1594f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-05-11更新
|
439次组卷
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3卷引用:江苏省扬州市高邮市第一中学2022-2023学年高一上学期第三次阶段测试数学试题
江苏省扬州市高邮市第一中学2022-2023学年高一上学期第三次阶段测试数学试题(已下线)第二章 函数 专题4 函数不等式的求解问题湖南省常德市汉寿县第一中学2023-2024学年高一下学期3月月考数学试题
解题方法
5 . 已知数列
中
,其前
项和记为
,且满足
.
(1)求数列
的通项公式;
(2)设无穷数列
,
,…
,…对任意自然数
和
,不等式
均成立,证明:数列
是等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f085575b5c456ae641143d2d430458b0.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7121ac4377ec9bcd071cb259678ab071.png)
(2)设无穷数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402b8223a5be456f2acb45f65648eb34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
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2023-03-16更新
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3卷引用:江苏省南京市中华、东外、镇江三校2022-2023学年高三下学期3月联考数学试题
江苏省南京市中华、东外、镇江三校2022-2023学年高三下学期3月联考数学试题广东省韶关市武江区广东北江实验学校2022-2023学年高二下学期第一次(3月)月考数学试题(已下线)第4章 数列 单元综合检测(重点)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
解题方法
6 . 已知
,
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338ac09ffd9addc3dadf363152c3e39d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3a54eb7601a8d226f226554a6bff0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9315d74962ae91511bdc24e241c524e1.png)
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2023-03-13更新
|
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3卷引用:江苏省淮安市楚州中学、新马中学2022-2023学年高二下学期期中联考数学试题
7 . 已知
则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d51f4d2b5de42ec4d09093e0d481119b.png)
![](https://img.xkw.com/dksih/QBM/2023/2/5/3168085902180352/3168797607149568/STEM/23ffb6638fb54b9a8db29095c3ff3ab4.png?resizew=4)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
8 . 设函数
.其中,e是自然对数的底数.
(1)若
,求证:x >2;
(2)当
时,
恒成立,求a的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40721e8ddf55f49982108782613be87c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1843bc48cb14fd53eaf48469bd1fc363.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ad204684faeb15d92a92c1790b29cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1312d640aa773779a34e9d50791ef5d.png)
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2023-01-06更新
|
264次组卷
|
4卷引用:江苏省南通市海安市立发中学2022-2023学年高二上学期期末数学试题
江苏省南通市海安市立发中学2022-2023学年高二上学期期末数学试题江苏省南通市海安市实验中学2023-2024学年高二上学期12月月考数学试题(已下线)第五章 一元函数的导数及其应用章末检测卷(二)-【帮课堂】2022-2023学年高二数学同步精品讲义(人教A版2019选择性必修第二册)四川省泸县第四中学2023-2024学年高三上学期10月月考数学(文)试题
9 . 如图,在平面直角坐标系
中,已知点
,直线
:
,
为平面上的动点,过点
作直线
的垂线,垂足为点
,分别以PQ,PF为直径作圆
和圆
,且圆
和圆
交于P,R两点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/66cd145d-304a-491e-80ac-666608b50e17.png?resizew=204)
(1)求动点
的轨迹E的方程;
(2)若直线
:
交轨迹E于A,B两点,直线
:
与轨迹E交于M ,D两点,其中点M在第一象限,点A,B在直线
两侧,直线
与
交于点
且
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d6fd5724e5c089ae7aae8c2ca15696.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/66cd145d-304a-491e-80ac-666608b50e17.png?resizew=204)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8521011867cb921af7d8cdd083d751be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90011c734979fcf84a7fd478acddcb22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
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2022-12-29更新
|
1178次组卷
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5卷引用:江苏省徐州高级中学2023届高三下学期3月月考数学试题
江苏省徐州高级中学2023届高三下学期3月月考数学试题福建省南安市龙泉中学2023届高三A班上学期数学(理)试题(7)(已下线)专题13 圆锥曲线压轴解答题常考套路归类(精讲精练)-3(已下线)2023年新课标全国Ⅰ卷数学真题变式题19-22广东省高考研究会高考测评研究院2023届高三上学期阶段性学习效率检测调研卷数学试题
名校
10 . 在平面直角坐标系中,两点
、
的“直角距离”定义为
,记为
.如,点
、
的“直角距离”为9,记为
.
(1)已知点
,Γ是满足
的动点Q的集合,求点集Γ所占区域的面积;
(2)已知点
,点
,求
的取值范围;
(3)已知动点P在函数
的图像上,定点
,若
的最小值为1,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84bd36d19352628cb54c214436ee3322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c59185f3d9547cd9065d10dcbb4127d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9404ad60dd25cb0df6c37032d50b72ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32bfddb0c7e57d0b4d9b38d35ee0eb1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ccb7efd0e14f8d929d674d4b8b9bc0c.png)
(1)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454eb3c001aff56183b74f2af55f34fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70bb9d1fa72808b9b861fa5edcf339be.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454eb3c001aff56183b74f2af55f34fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afbe5c440cd472e6c96f66582815e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
(3)已知动点P在函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e397c2d541346fec9201a592bbe941.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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