名校
解题方法
1 . 一个顶点为
,底面中心为
的圆锥体积为1,若正四棱锥
内接于该圆锥,平面
与该圆锥底面平行,
这4个点都在圆锥的侧面上,则正四棱锥
的体积的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a5faf3cbb633fc4294c8ce703c64c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a5faf3cbb633fc4294c8ce703c64c3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2566503ec0f79d89fc596244504489e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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23-24高三上·浙江绍兴·期末
名校
解题方法
3 . 设函数在
处取得极值,且
,当
时,
最大值记为
,对于任意的
的最小值为
您最近一年使用:0次
23-24高三上·浙江绍兴·期末
4 . 已知函数,
.
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b660be9b13442912482d55bcc9429b2.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知函数在
上存在极值点,则
的值是
您最近一年使用:0次
2024-03-23更新
|
1022次组卷
|
2卷引用:浙江省绍兴市柯桥区2024届高三上学期期末教学质量调测数学试题
6 . 已知函数 ,
,
.
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589ed49839c4dc0b033431d88a4c1f94.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eeb798e15ef4ea311e1d3523e7fc7a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fef7672c5d8d64d61cecb70bcf615e0.png)
您最近一年使用:0次
2024-03-20更新
|
276次组卷
|
2卷引用:浙江省杭州四中2023-2024学年高二上学期期末数学试题
7 . 定义满足
的实数
为函数
的然点.已知
.
(1)证明:对于
,函数
必有然点;
(2)设
为函数
的然点,判断函数
的零点个数并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477ac2d23b77b49c205952d8cda5a981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27dc87cafb7a8d3bed4b4a7e82155a6.png)
(1)证明:对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7b784381c282fc5f788485316c943c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19105fc2ee351fdb367614762992929.png)
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8 . 抛物线C:
,椭圆M:
,
.
(1)若抛物线C与椭圆M无公共点,求实数r的取值范围;
(2)过抛物线上点
作椭圆M的两条切线分别交抛物线C于点P,Q,当
时,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e61e0a1bc2ab34fe0cd1de9f59b0e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181820d1a015068701cfdbdf48b24c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
(1)若抛物线C与椭圆M无公共点,求实数r的取值范围;
(2)过抛物线上点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8adb3358f321cc2c429b9c20674b271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b38040230a7f5674f13c690e780ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
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9 . 已知函数
在某点处的切线的斜率不大于1,则切点为整点(横纵坐标均为整数)的个数是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4666daa4e9d378c69e9d1943f974bb61.png)
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10 . 已知函数
,
,记
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699f767ccf837c2bf8019d03451849c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd17ae52ccb646646e43237c0697495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f92ac0144b7ab2c33c46d7347ffe0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f00b23ab45465b96c7d1c385b56080d.png)
A.若正数![]() ![]() ![]() ![]() |
B.若正数![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次