1 . 已知椭圆的焦点在轴上,长轴长为
,上顶点为
,设
是椭圆上异于
的两点,且点
在线段
上,直线
,
分别交直线
于
,
两点.
(1)求椭圆的方程.
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24b94392a78a2325a4834c2018a8e2f.png)
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解题方法
2 . (1)已知函数
,求不等式
的解集;
(2)设
、
、
为正数,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb3e512a4eb1ddfdec49d7181c55caa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbc901cbdb68130ddac3174583dd93c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2078d18b96d1d777dc353beedf90e5e.png)
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3 . 已知函数
的最大值为6,
.
(1)求
的值;
(2)设
,
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e6614b14909752c65164b539359fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8578c6d7d390a36d1728070bbd9cc14.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71acdb04454c77e1e25ad4f336cccfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5318b62f908276c73967475438eaf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ee581ea1a65b61f4255948503080763.png)
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解题方法
4 . 已知函数
.
(1)求不等式
的解集;
(2)记函数
的最小值为
,若
,
,
均为正实数,且
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d823c3deb0d10dad0cb975affdfc3.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369100ccd44feaa77e5f119ea949a879.png)
(2)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e129f3bb36b86ad46d5cc7c051a25375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d58e6afe3f5d81fa150e692444d1d5.png)
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5 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc63193d3c686f63aa56186dd777a6e.png)
(1)解不等式
;
(2)若
,求证:
,使得
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc63193d3c686f63aa56186dd777a6e.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188281cc0c7af6e95c32b9bbb94ffc21.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a57e060f61f7efa54982bda67db483a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02491f9709f00a1bc169278fbe01f576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52eaacd91c25b6d91415aa741f821f96.png)
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6 . 函数
,设
恒成立时m的最大值为n.
(1)求n的值;
(2)若a,b,c为正数,且满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b841e680308162666ae90f8045e920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(1)求n的值;
(2)若a,b,c为正数,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260bfce44a6101cf57e296cf09d6eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a9d82a7f719be107d6686fb8cd5461.png)
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2023-07-13更新
|
131次组卷
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3卷引用:四川省泸州市2022-2023学年高二下学期期末数学理科试题
解题方法
7 . 已知函数
,函数
的最小值为k.
(1)求k的值;
(2)已知a,b,c均为正数,且
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20ca5659980f4f2a09b31f6b512e9a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求k的值;
(2)已知a,b,c均为正数,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c7a574f50533836dc4bac87c86529a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd4067a19eeb07474557fe7b2508880.png)
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2023-06-28更新
|
237次组卷
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2卷引用:四川省达州市2022-2023学年高二下学期期末监测数学(文)试题
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8 . 已知函数
.
(1)求
的解集;
(2)若
最小值为
,正实数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f85fe9a6454233385a610e286a3f6a3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c48fd75ab50ea3e23bb1a335cfcb49.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86be2de99fbf7f99cd54ab399146b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b9efa310ec2a07b11a6d0e07cbb911.png)
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2023-05-31更新
|
467次组卷
|
5卷引用:四川省广安友谊中学2022-2023学年高二下学期6月月考文科数学试题
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9 . 已知函数
,且不等式
的解集为
.
(1)求实数
的值;
(2)若正实数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f801537b719b259b82a01eb4eb6f63d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0abe4960954bb3144b7e86d4233e747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6ad85072c47fbb57fb296d4096322c.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(2)若正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3539640e5344567a1071b64751cecc8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0edcfb51711d1e003a869e03be35942f.png)
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2023-05-09更新
|
860次组卷
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6卷引用:四川省泸县第一中学2022-2023学年高二下学期期末考试数学(文)试题
名校
解题方法
10 . 设不等式
的解集为
,且
,
.
(1)求
的值;
(2)若
、
、
为正实数,且
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfecd014c8295ff29840af6b7019c045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0007234d5c4e1e2c5ffaf75d51734df0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86c7339700b762ba814a67bed5f984d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](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/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e713a1123df18cf0e70033ebf66c3c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8b26d909a7827e27d2e8ae20099e041.png)
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2023-05-09更新
|
417次组卷
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8卷引用:四川省广安友谊中学2022-2023学年高二第一次“零诊”模拟考试理科数学试题