1 . 已知函数
,且
.
(1)若
的图象在点
处的切线方程为
,求a与b的值;
(2)若
与
的图象有两个不同的交点
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9878ad2b8f035323b07d93a6a793878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea59cee971344ed593ff082a65d177c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebb3b7f47e0decd48e64cb32aaa5903.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c035bfd800397b80370ead0f57e9f2c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56720e2f2b0ddd72156da495923698da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2852ae85cfcc804b3192ea8543c88938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81be1cde73bf30aab41df006f021f591.png)
您最近一年使用:0次
解题方法
2 . 已知
为偶函数.
(1)求
的值;
(2)已知函数
的定义域为
,
,当
时,
,若对任意的
,都有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb17b82bda4775d92390909352409ff.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca5e984d5e14b4be18a5ee99f80a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f549323396b3c0ca33891ca66a5afb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389c07d27ee85fc5eb2203cd15710601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d1a94ea3c278c2197572cc1b7725b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8685b6c5b77d4c5cf1c84abdd3c7da15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1a0215273a1071995d11791c49c21c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-11-10更新
|
1433次组卷
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4卷引用:江西省赣州市十六县市二十校2023届高三上学期期中联考数学(理)试题
江西省赣州市十六县市二十校2023届高三上学期期中联考数学(理)试题山东省济南市章丘区2022-2023学年高三上学期诊断性测试数学试题江苏省徐州市沛县2022-2023学年高一上学期12月月考数学试题 (已下线)高一数学上学期期末【全真模拟卷03】-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)
名校
3 . 设公比为
的等比数列
的前
项和为
,前
项积为
,且
,
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8141d87fb02b08c88b0c9f27f839a7d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49f1249f5c5177133dfae08ed3793e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/691a228f493f232d01cc2c13714d4ed6.png)
A.![]() | B.![]() |
C.![]() ![]() | D.数列![]() |
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2022-11-10更新
|
2219次组卷
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8卷引用:江西省赣州市十六县市二十校2023届高三上学期期中联考数学(理)试题
江西省赣州市十六县市二十校2023届高三上学期期中联考数学(理)试题福建省龙岩市非一级达标校2023届高三上学期期中联考数学试题江西省赣州市教育发展联盟2023届高三上学期第9次联考(12月)数学(文)试题江西省赣州市教育发展联盟2023届高三上学期第9次联考(12月)数学(理)试卷(已下线)模块二 数列 不等式-2(已下线)第03讲 等比数列及其前n项和(九大题型)(讲义)-3广东省广州市广雅中学2024届高三上学期第二次调研数学试题(已下线)专题5-1 等差等比性质综合-1
解题方法
4 . 已知非零向量
,
满足
,且
,则
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b982e3d8f4df04309a922a4872dac4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73ac1449db8dc19a879c1cae099a95ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知数列
的前
项和为
,
,且
.
(1)求
的通项公式;
(2)若
是
,
的等比中项,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3b29d01147fadcffc5418b1f4ac0d1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0441e285d990afd18061376145503267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2022-11-10更新
|
651次组卷
|
2卷引用:江西省赣州市十六县市二十校2023届高三上学期期中联考数学(理)试题
解题方法
6 .
的内角A,B,C的对边分别为a,b,c,已知
,c是a,b的等比中项,且
的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65889da60ffeb2e866b97ea0dd9e8ebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
您最近一年使用:0次
2022-11-10更新
|
1142次组卷
|
2卷引用:江西省赣州市十六县市二十校2023届高三上学期期中联考数学(理)试题
7 . 已知正数
,
满足
,则
的最大值为( )
![](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/a2d44fec09cd37cf3a0b1fadbea1781e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
A.3 | B.6 | C.9 | D.12 |
您最近一年使用:0次
名校
解题方法
8 . 已知向量,
,
,若A,B,D三点共线,则
您最近一年使用:0次
2022-11-10更新
|
1117次组卷
|
6卷引用:江西省赣州市十六县市二十校2023届高三上学期期中联考数学(理)试题
名校
9 . 已知函数
.
(1)讨论
的单调性;
(2)若对任意的
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdac8719fed9bb4e1753587608265d50.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8c164755dc2d7cff80fb4c9cffc9be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-11-10更新
|
1285次组卷
|
2卷引用:江西省赣州市十六县市二十校2023届高三上学期期中联考数学(理)试题
10 . 已知x,y满足约束条件
则
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5290972740f11195f2ae2f5f0ba6909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a125cb40ab3d54de9f3a444032af5e4.png)
您最近一年使用:0次
2022-11-10更新
|
233次组卷
|
4卷引用:江西省赣州市十六县市二十校2023届高三上学期期中联考数学(理)试题