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1 . 用
这九个正整数组成无重复数字且任意相邻的三个数字之和是
的倍数的九位数,这样的九位数有______ 个(用数学作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9b37fbcd2a7548db57f74fb699dc1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
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2 . 已知函数
,若
,其中
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d4fcb50c137a82f2f1e6b4738b2152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e45e961dd36b8f85703c91f248da3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 已知椭圆
:
,
是坐标原点,
是椭圆
上的动点,
,
是
的两个焦点( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6205da5e1d2730ee0b3de8bca3e29f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.若过![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
4 . 已知点
,
,平面内一动点
满足直线
与
的斜率乘积为
.
(1)求动点
的轨迹
的方程;
(2)直线
交轨迹
于
两点,若直线
的斜率是直线
的斜率的
倍,求坐标原点
到直线
的距离的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5759b2b82cd3070d76b38e5555b7994f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913d5e9e50900064595684c438b07423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解题方法
5 . 已知
是椭圆
(
)焦点,且
,过点
作不与坐标轴垂直的直线l与椭圆
交于P,Q两点,当点P为椭圆C的上顶点时,直线l与直线
垂直,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47abdd176ef29ffe97de45376494b1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b386e2c5d9ad7cec404ce5c40dbebe42.png)
A.当![]() ![]() ![]() |
B.若点![]() ![]() ![]() |
C.若点M,N在x轴上,其中![]() ![]() ![]() |
D.过椭圆![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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6 . 已知
,函数
.
(1)当
,判断函数
在
上的单调性并求其最小值;
(2)记
在区间
上的最小值为
,求
的表达式;
(3)对(2)中的
,当
,恒有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea1b3e4e1f501d511802734e0d556d0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a7b7c834d06f3e28a339db94690172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a7b7c834d06f3e28a339db94690172.png)
(3)对(2)中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a7b7c834d06f3e28a339db94690172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5534884e6450e898d84bdb2b42d4f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . 在平面内,设
,
,
,
,
,
,
,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420ad6159fc091d6a5ffddf0676d2662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f8173bb7787b6b107acfe767dd1d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df562e0b5e79dc61601aa6666e6f516d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf9fde879db30f15083c0c342638c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8c00d9c20e83cb187ab992771ec651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16d81d266f24698696a81ed5e007680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa363070e9ec729ceb37e480e3552836.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
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解题方法
8 . 一个棱长为
的正四面体中内切一个球
,若在此四面体中再放入一个球
,使其与三个侧面及内切球
均相切,则球
的半径为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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9 . 已知函数
,
.
(1)求函数
在点
处的切线方程;
(2)当
时,
,记函数
在
上的最大值为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5bb46545c1d19d4e7a7a250a80f3feb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea62c22fb940b0a9db6bf0267b356d6.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71607511fdd4faa9e832345ceb2a817d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4133958c09fdd82cda8838c9cf46ccda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1279ef84071f5ad7c4c1681357edd84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60994f80d3ced53fc18ddd7e3d659aad.png)
您最近一年使用:0次
2023-09-09更新
|
752次组卷
|
4卷引用:浙江省嘉兴市八校联盟2022-2023学年高二下学期期中联考数学试题
名校
10 . 已知
,
,
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2fff155d8b59bef32ddfb2a76a0fb21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4fc2a38537f71ad2406025624c122d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6f86743349360a94f93fa28b5ee9c0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-08-15更新
|
907次组卷
|
5卷引用:浙江省嘉兴市第五高级中学2022-2023学年高二下学期期中数学试题
浙江省嘉兴市第五高级中学2022-2023学年高二下学期期中数学试题四川省德阳外国语学校2023-2024学年高二下学期期中考试数学试卷(已下线)第三章 利用导数比较大小 专题四 利用导数比较大小综合训练综合训练江西省宜春市丰城市第九中学2024届高三上学期开学考试数学试题天津经济技术开发区第一中学2023-2024学年高二下学期3月练习数学试题