名校
解题方法
1 . 已知数列
满足
,设该数列的前
项和为
,且
,
,
成等差数列.
(1)用数学归纳法证明:
(
是正整数);
(2)求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebadf2b3ec3dc92cd902eff76085ad46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39835887158fcba559fdfe35ebb5c63.png)
(1)用数学归纳法证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8adf14f70232202f11d2bb28a8465b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2 . 已知函数.
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbc901cbdb68130ddac3174583dd93c.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7dbc702617c765a573961953cc0901.png)
您最近一年使用:0次
2024-03-15更新
|
225次组卷
|
2卷引用:四川省部分校2023-2024学年高三下学期第二次联考理科数学试题
名校
3 . 已知函数
,
.
(1)当
时,求不等式
的解集;
(2)当
时,函数
的最小值为
,若
,
,
均为正数,且
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d6432b29955afe5c6e53b27ab24422c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](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/143c384e3ed4f411015eadb97737fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3189d64f0b0a888709e75d459f110168.png)
您最近一年使用:0次
2024-03-13更新
|
719次组卷
|
6卷引用:四川省南充高中2023-2024学年高三下学期第十六次月考理科数学
名校
解题方法
4 . 已知函数
.
(1)求
的值域;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba57bbcc86f900d2585ae55108d6edc2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdef2ee3fee7155c19a9e7bb0dc5fb7c.png)
您最近一年使用:0次
2024-03-10更新
|
263次组卷
|
3卷引用:江西省部分学校2024届高三下学期3月月考数学试题
解题方法
5 . 已知函数
.
(1)求
的最小值;
(2)若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e0ad8847383f49ec23f88ffffec97b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc97a267480145475676e762bf99cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-07更新
|
214次组卷
|
2卷引用:陕西省安康市高新中学2024届高三下学期3月月考数学(文)试题
名校
解题方法
6 . 已知函数
.
(1)求不等式
的解集;
(2)设函数
的最小值为
,若
且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113eff4fc6357344d826ff081714339d.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd517c952785f1b4a87a0ff47260e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711d33dca588abbd3e2bead7ec99a384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576e3d63873b53cc17f79139e674308b.png)
您最近一年使用:0次
2024-02-05更新
|
848次组卷
|
7卷引用:四川省内江市威远中学校2024届高三下期第一次月考理科数学试题
名校
解题方法
7 . 若实数
满足
,则称
比
远离
.
(1)若2比
远离1,求x的取值范围;
(2)设
,其中
,判断:
与
哪一个更远离
?并说明理由.
(3)若
,试问:
与
哪一个更远离
?并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d32d4403d0e81eacfbe429dc51f07f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b782dd2de9c9caa840838cd63d817de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若2比
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/792be5953f7752ccf49405231fa1ebc0.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ea5e8fdf104e1cc8348c13a3cd1610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8151ce405ce7dd9f691fd62cd59be57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45900deae0489e87fe448948e8091c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
您最近一年使用:0次
名校
8 . 已知
,若
的解集为
.
(1)求实数m,n的值;
(2)已知a,b,c均为正数,且满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae822f6e0ed760e5de7216a674ace1f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ec4add31dd4c2d48aadbb7bd13e607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4617ae497c70e9aa68d601da1d7d9b5.png)
(1)求实数m,n的值;
(2)已知a,b,c均为正数,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdf369f25d8767c656c2a8ef2c00d9bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b1672ae944369491164bb952ab8873.png)
您最近一年使用:0次
2024-01-14更新
|
352次组卷
|
3卷引用:四川省绵阳市东辰学校2024届高三下学期第二学月考试数学(理科)试题
9 . (1)已知a,b,x,y均为正数,求证:
并指出等号成立的条件;
(2)利用(1)的结论,求函数
的最大值,并指出取最大值时x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7381cf2d8df0ec7f569046d580d40a1f.png)
(2)利用(1)的结论,求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b13d632379fbe54d0c957d1d14329e.png)
您最近一年使用:0次
2024-01-13更新
|
409次组卷
|
4卷引用:四川省绵阳市2024届高三二模数学(理)试题
解题方法
10 . 已知正数
满足
,证明:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56667aabbe787eb1c3189d487d203e22.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d90c1f74a6822bbc41c181b52470f0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebeaecb8587e25f49693acb6c40b094.png)
您最近一年使用:0次
2024-03-03更新
|
168次组卷
|
3卷引用:【名校面对面】2022-2023学年高三大联考(4月)文数试题
【名校面对面】2022-2023学年高三大联考(4月)文数试题【名校面对面】2022-2023学年高三大联考(4月)理数试题(已下线)考点7 基本不等式及其应用 --2024届高考数学考点总动员【讲】