名校
1 . 已知函数
.
(1)求
的单调递增区间;
(2)在锐角
中,角
所对的边分别为
,
,且
,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc717cba02b8f09aa7c30231896fc34.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在锐角
![](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/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3819e3abe5ba10dc15142a6a8a616ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-05-08更新
|
820次组卷
|
3卷引用:河南省周口市鹿邑县第二高级中学校2023-2024学年高一下学期月考测试(三)(6月)数学试题
名校
解题方法
2 . 已知函数
.
(1)当
,
时,求证
恒成立;
(2)当
时,
,求整数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c47850d9a29a648cac2648a72e1e0000.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0d0d6f49220326be0bc66e8d1f814f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2024-05-03更新
|
390次组卷
|
3卷引用:河南省周口恒大中学2024届高三下学期5月月考数学试题
河南省周口恒大中学2024届高三下学期5月月考数学试题河南省郑州市十校2023-2024学年高二下学期期中联考数学试卷(已下线)专题09 导数与零点、不等式综合常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
3 . 已知函数
有两个不同的零点,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef54fb6a0efd1c41974ada99f2871cf2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 如图,
分别是等腰梯形
的边
上的动点,
,其中
为定值,
,设
,其中
.
,求出
的表达式;
(2)证明:
的余弦值与
的取值无关;
(3)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ced9844fe2e052c70486af0740afa63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596d41b6556f383445536d1c534ac182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f07948e9258b482a2164ac871f90f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a18fec3e4a4fbc7b3e0e037ce650023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d91513d2e546a5a0b5fd42379db8df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e72cf7374a65ced433b6fa113ef57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e2be3e9225c71609248299caa49432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192c2f1059f6e05d44df048f5fdca04b.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7023ec0f513c7d0ef86859a5ede54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db625151987f893816de66b15d9e699.png)
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5 . 已知双曲线
的左、右焦点分别为
为坐标原点,A,B为双曲线上两点,且满足
,
为C上异于A,B的动点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abfde9ec4a22b0daa1ea8cb65a192ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447120a38d5e15d7a01d36231d648d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de3ff4b03ad2a29a648e9bdb403696d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.C的渐近线方程为![]() |
B.双曲线C的焦点到渐近线的距离为![]() |
C.当![]() ![]() |
D.设MA,MB的斜率分别为![]() ![]() |
您最近一年使用:0次
解题方法
6 . 已知平面向量
满足
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943babd7d2e740ff88049e4c2558697c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15cd63a9494b3947c9ee121913d9f51.png)
您最近一年使用:0次
名校
解题方法
7 . 在三棱锥
中,
和
均为边长为2的等边三角形,
,则该三棱锥的外接球的表面积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-10更新
|
791次组卷
|
7卷引用:河南省周口市鹿邑县第二高级中学校2023-2024学年高一下学期月考测试(三)(6月)数学试题
名校
解题方法
8 . 锐角
中,内角A,B,C所对的边分别为a,b,c,且
,若
,则
面积S的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a865a456da9c5d876f6674b790695f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
9 . 已知函数
在
处取得极值.
(1)求
的值;
(2)设
(其中
),讨论函数
的单调性;
(3)若对
,都有
,求n的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019bd00539e0ed5419f52123604a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9d8013ef0b3c521e332f13d2b713d3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b143615d9543e4cfa53a1d67b7a89b40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f26cade8fb52ae18a5258ec4e522e4.png)
(3)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925db96ca0f7546def751a2e47cc71b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8915679bdefbc95ce9a3a080bf559d3b.png)
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2024-04-07更新
|
175次组卷
|
2卷引用:河南省部分学校(金科)大联考2023~2024学年高二下学期第一次质量检测数学试题
10 . 如图,在几何体
中,平面
平面
,四边形
为正方形,四边形
为平行四边形,四边形
为菱形,
为棱
的中点,点
在棱
上,
平面
.
(1)证明
平面
;
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee4915234cd5311d3b5e384b82caa11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e50d31a3f637f9632a947f0866eede1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4cd2b33bd983a9ed6575b9de04a46a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b808a8facf9af30cd8a083010a7b850d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49a261ac5fac66509272f669f5728f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c34b18525831f3eda7bb90be0199b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/bddb6519-9ff9-457f-ba88-e6131b9a975e.png?resizew=161)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5888bec948373f3854258ad80171073d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
您最近一年使用:0次
2024-04-07更新
|
1376次组卷
|
2卷引用:河南省周口市西华县第三高级中学2023-2024学年高二下学期第一次月考数学试题-