名校
1 . 已知函数
.
(1)试问
在
和
这两个区间内是否都有零点?说明你的理由.
(2)若方程
只有两个不同的实数解
,比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acba360522822286bb3d9e65f9a6beea.png)
(1)试问
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad42625f296d2a4b65180e2f7b776beb.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb43dced2b978f75adfee82ac26b6f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b3db99521b88a5c30322de03eb6479.png)
您最近一年使用:0次
2024-01-22更新
|
216次组卷
|
3卷引用:四川省雅安市雅安中学2023-2024学年高一上学期1月月考数学试题
解题方法
2 . 已知函数
是偶函数.
(1)求
的值:
(2)设函数
,若不等式
对任意的
恒成立.求实数
的取值范围;
(3)设
,当
为何值时,关于
的方程
有实根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baef950726afc9ea36eb13cddde2f9e5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342399a480c5d706c1d08e51ba136cbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36f7ab55b63c08280a41fb64366b819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3368388525e30cb7179909b03184eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387fb3e25ad456f2263df40b0cdaf915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2887af6ad31c2e74c434f2d8c60d8a0.png)
您最近一年使用:0次
解题方法
3 . 已知函数
满足
.
(1)求
的解析式;
(2)若对任意的
,不等式
恒成立,求
的取值范围,
(3)已知实数
,
,
满足
,当
时,
恒成立,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78ed834a1e22a6b891cfacbc0a76821.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dad46b3ef8b973f0b8b50a1ab081155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)已知实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e6a6b3cd560ccb6b59816bfd06f461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d878c37c35c1d8703e13707f87eaac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac479f817b0143b290a0b9ff92ed6cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-12更新
|
348次组卷
|
3卷引用:四川省部分名校2023-2024学年高一上学期联合学业质量检测数学试卷
名校
4 . 已知不等式
对
恒成立,则
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b933cca95c698176be4e121e3aab5d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6fc279f39aff9a69b5806b8cb511338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-23更新
|
350次组卷
|
2卷引用:四川省遂宁市安居育才中学校(卓同教育集团)2023-2024学年高一上学期1月期末校考数学试题
名校
解题方法
5 . 函数
,
.
(1)若函数
为偶函数,求实数
的值并指出此时函数
的单调区间;
(2)若
时,
都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6c3e517e0a5bb0ce79208b1f03ac62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4251bbfb6878011f6b7193e683683fba.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/982e9409fb0b1e7fb26eb46d595c70b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2374f4fc04cf7ce71f3fb33bf657505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7082c68f1bfd946d8caade98963861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
6 . 若正实数
,
满足
,则下列结论中正确的有( )
![](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/254aebe3ef7eabdf41e46c1cd857c705.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2023-10-17更新
|
843次组卷
|
3卷引用:四川省资阳市乐至县乐至中学2023-2024学年高一上学期10月月考数学试题
名校
解题方法
7 . 已知二次函数
.
(1)若等式
恒成立,其中
,
,
为常数,求
的值;
(2)证明:
是方程
有两个异号实根的充要条件;
(3)若对任意
,不等式
恒成立,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
(1)若等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e712bf30e058bf1d343f46a7b5205db.png)
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432793c48a89aa2568c884f0283c5a9a.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4944b18a1daae0480089124e5551107f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25e72f73a14e6449fe4a18bd0fa9b739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623df532d1c7a31036b5d6e2aee98756.png)
您最近一年使用:0次
2023-10-09更新
|
762次组卷
|
4卷引用:四川省仁寿第一中学校南校区2023-2024学年高一上学期第二次质量检测(10月)数学试题
四川省仁寿第一中学校南校区2023-2024学年高一上学期第二次质量检测(10月)数学试题上海市莘庄中学2023-2024学年高一上学期10月月考数学试题上海师范大学附属中学闵行分校2023-2024学年高一上学期期中数学试题(已下线)高一上学期期末考试解答题压轴题50题专练-举一反三系列
名校
解题方法
8 . 已知直线
,点
是
之间的一定点,并且P点到
的距离分别是
,B点是
上的一动点,作
,且使
与
交于点
,则以下说法中正确的有____________ .
①三角形
的面积存在最小值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98928d2735c4668d486ba89bde055902.png)
②
存在最大值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46ae27a5beb3517cd2e538cbd139495.png)
③当
时,
的长存在最小值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15752847ab476edec45450680887baa8.png)
④当
时,点P到
的距离为定值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0dd294f8053b5a82d808ee00f924c2.png)
⑤当
时,
与
的夹角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b721afb477b5e952b82ce210a85cc4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83640592853a53872d7af69c0cffc1bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
①三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98928d2735c4668d486ba89bde055902.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7384b9afcef2d86a87eee0c66f383052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46ae27a5beb3517cd2e538cbd139495.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9605cb0aa53deddc440e97668291eaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15752847ab476edec45450680887baa8.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9605cb0aa53deddc440e97668291eaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0dd294f8053b5a82d808ee00f924c2.png)
⑤当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358b4aa966786b625dd708fd76569da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
您最近一年使用:0次
名校
解题方法
9 . 已知数列
是等差数列,数列
满足
.
(1)求证:数列
是等差数列;
(2)设数列
、
的公差均为
,且存在正整数
,使得
,求
的最大值;
(3)在(2)的条件下,当
取得最大值时,设
,记数列
的前
项和为
,问:是否存在自然数
,使得
成立?说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca3c52ce55a45e33576a1f066d13e21.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bfe21c96489cb30c544d49ddb4c1c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b056a90a2751f04ba5fff3dc5c1d0674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932cf0896df0a5b07d108f21f69be099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
(3)在(2)的条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b90708f70dc76a877bb52fe17e3208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f183b4291a4d22fe4f704e2a90f31dbb.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/b341d1d30b8f27fd936a8c8069afde4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8089bfe21f5dc209ebf6b7f26ce97ab5.png)
您最近一年使用:0次
名校
解题方法
10 . 如图,已知直线
,点
是
,
之间的一个定点,点
到
,
的距离分别为1,2.点
是直线
上一个动点,过点
作
,交直线
于点
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ba132ca9dd0d4a050659aef3c9b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147ab2d582e60bee6d81b27236e7288b.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-08-13更新
|
1286次组卷
|
6卷引用: 四川省射洪中学校2022-2023学年高一下学期第一次月考数学试题(强基班)