名校
解题方法
1 . 已知函数
的部分图象如图所示.
的解析式;
(2)求
在
上的值域;
(3)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8958a4b164d0c948463dbe9493f3b2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec4ae67bb39e9b22415aa555f644bf6.png)
(3)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7a87f9b744e0c821a82f82ea50f390.png)
您最近一年使用:0次
2 . 已知函数
.
(1)求
的值;
(2)求函数
的在
上单调递减区间;
(3)若函数
在区间
上有且只有两个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570c7d578b1069e2b6c4055a9d5f1fce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b87f4ef298bdeebf59a0d850aff72c.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae0d22d931ac42b565c7990764a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
(1)求函数
在区间
的最大值和最小值;
(2)
的内角
所对的边分别为
,且
,
,延长
至点
,使得
,若
,求
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6724dbbc8c4ce68ce2b1079d2b4481a4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02e6e821af7945ac1ed0096a238721f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dbfff6cc395cdc163fc751c954cab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514545071170611d980e1e557ad19716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ac32ac8139f652e9ee77cb6ee0f0a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
,x
R.
(1)求
的最小正周期;
(2)求
在区间
上的最小值并指出此时
的取值;
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d270cf62995ecaabfbcadbc71a974290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15539a8438be3774bc02d3b81183110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc28b68212359e66cf2eac690a85232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ff0e5c78c04beea4e773185195da30.png)
您最近一年使用:0次
2024-05-08更新
|
1377次组卷
|
4卷引用:江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题
江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题(已下线)模块四 期中重组卷1(江苏南京)(苏教版)江西省南昌市第五高级中学2023-2024学年高一下学期期中考试数学试卷(已下线)江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题变式题16-19
名校
解题方法
5 . 在①
,
,且
,②
,③
这三个条件中任选一个,补充在下面问题中,并解答.
问题:
的内角A,B,C的对边分别为a,b,c,且______.
(1)求A的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e67ee69f9b84be20a1963fd49654df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67fb51118754893e319bd32ef5ce28d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4d070c5939bb0ec4a9d40d7e3c7d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/badb8e5cc1832b4ecfbe638824f1ff9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1a91385acb075a714f709653e3bddb.png)
问题:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求A的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a30c37060ae814e2b16f047ae4ea5f.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
.
(1)求函数
的最小正周期;
(2)若
,使得关于
的不等式
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd357c8a9884046ca97f55dd5ace3dc.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a59160adcd1b9fa8eaa6bea9fccab4f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc99846cc58c8b63e1c305397889118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
7 . 在①
,②
中任选一个作为已知条件,补充在下列问题中,并作答.
问题:在
中,角
所对的边分别为
,已知_________.
(1)求
;
(2)若
的外接圆半径为1,且
,求
.
注:若选择不同条件分别作答,则按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438c34870ee3e4526105283fcda237c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcfb88fd450f5e11bcdd5642ed9f9ea6.png)
问题:在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f76c77679d424630c035bfabb2fa98b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
注:若选择不同条件分别作答,则按第一个解答计分.
您最近一年使用:0次
8 . 已知函数
的最大值为
.
(1)求常数
的值,并求函数
取最大值时相应
的集合;
(2)求函数
的单调递增区间和对称中心.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa657a1789c078c979c2ceeb3db07342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
(1)求常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
9 . 已知
,
(1)若
,求
的值;
(2)在三角形ABC中,若
,求
的最大值;
(3)若关于x的不等式
在
上恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7ac529db355de5d6f84b66ab748dfd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37ae6d0fb13ff62d4f9ae4da903f3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ba9745c01bcc7c3b62a4ee6dd60a3a.png)
(2)在三角形ABC中,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9665922679187aa5f4961188509f5c7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a5801e8be81aae66c47cc058fe370c.png)
(3)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a8c86ace105fc98a7eca98e0bbcf04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18cf6fd97502bd971747cf25ce00de0.png)
您最近一年使用:0次
解题方法
10 . 已知函数
(
,
,
),函数
和它的导函数
的图象如图所示.
的解析式;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8665842489bc1b588fa43d34730fd1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cd96f7773d92c1706dc09b50d4b25e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f9118a785e2a7cd22a89019798ff0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19be062e4169a627153ad78c093c3af.png)
您最近一年使用:0次