名校
解题方法
1 . 已知
,
分别为该三角形的垂心、外心,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91219670f597461ea7c6b7f259ff039a.png)
A.若![]() ![]() ![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() |
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|
450次组卷
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2卷引用:辽宁省大连育明高级中学2023-2024学年高一下学期期中考试数学试卷
名校
2 . 已知
的内角
所对的边分别为
下列说法正确的是( )
![](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/7132c2d8b2ff504e6c2ba36c4f6dcfaf.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.“![]() ![]() |
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名校
解题方法
3 . 已知函数
,则“
有两个极值”的一个充分不必要条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86268b8e4ccddb5d62996ea366ef768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-03更新
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2卷引用:吉林省部分学校2024届高三下学期高考模拟(三)数学试题
名校
4 . 已知函数
的定义域为
,对任意
,有
,则“
”是“
"的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbdb87420bccecfb3f2dfbafd3c3d64c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37bbd2bec836fa42bebd876b2d91dde.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分又不必要条件 |
您最近一年使用:0次
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|
756次组卷
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5卷引用:湖南省娄底市2024届高三上学期期末质量检测数学试题
湖南省娄底市2024届高三上学期期末质量检测数学试题(已下线)5.3.1函数的单调性 第三练 能力提升拔高(已下线)考点4 条件的判断 --2024届高考数学考点总动员【练】(已下线)第2题 条件探求与判断,转化构造直接法湖南省长沙市长郡中学2024届高考考前模拟卷数学试题(一)
5 . 已知函数
.
(1)若曲线
在点
处的切线斜率为0,求
的值;
(2)当
时,求
的零点个数;
(3)证明:
是
为单调函数的充分而不必要条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9e41eae2c81d64af48191ac7b79638f.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f355bb18e776dd3e108b9a0955de9dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
6 . 设
,若满足
,则称
比
更接近
.
(1)设
比
更接近0,求
的取值范围;
(2)判断“
”是“
比
更接近
”的什么条件,并说明理由;
(3)设
且
,试判断
与
哪一个更接近
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86da09b21445e4550a9859bd2e8a09ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3c002f2624d5e8ec59766c609fb74a.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/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da4fcad0fbcfd1c4811d5f84a1727119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a4780b98f26393e42a9c06b472e332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)判断“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473c6d2b6c01a2490e4bb1cf2dad9edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783bd0669daf92fdcda36ca85570beda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
您最近一年使用:0次
名校
7 . 已知函数
是自然对数的底数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7b545cd0c1287325709bc8823739b4.png)
A.![]() |
B.若![]() ![]() |
C.![]() ![]() |
D.“![]() ![]() |
您最近一年使用:0次
2023-05-06更新
|
855次组卷
|
3卷引用:湖北省2023届高三下学期5月国都省考模拟测试数学试题
名校
解题方法
8 . 定义
表示不超过
的最大整数,
.例如:
,
.①
;②存在
使得
;③
是
成立的充分不必要条件;④方程
的所有实根之和为
,则上述命题为真命题的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f2754b3b1dad0794ec35a1771e1453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019a32cd5602875897f8b82f1eae7389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc19b2e19b7568d3f9f1b7e72c54c556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea454c3edb6077c86559d24de21ce059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ad90ca228230b03f12eb48ee0c1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0357d7585bf4e7b9946c680668bfff4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44bd3e4cbda2dad3599946f95e7ee77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31524125240eedb1dc2698a498c46f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/335be3671f56009f8c619ae5bb70b142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
A.①② | B.①③ | C.②③ | D.①④ |
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4卷引用:新疆维吾尔自治区乌鲁木齐市2023届高三三模数学(理)试题
新疆维吾尔自治区乌鲁木齐市2023届高三三模数学(理)试题(已下线)第02讲 常用逻辑用语(练习)辽宁省大连市第八中学2023-2024学年高一上学期期中数学试题(已下线)专题8 函数新定义问题(过关集训)(压轴题大全)
名校
解题方法
9 . 若已知函数
,
,
,若函数
存在零点(参考数据
),则
的取值范围充分不必要条件为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517fc831f45106d342332aa77dbb8073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3e3ddd2cb7a40527637c6fc8e3b425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d115cf2f2e63304d4f31946db866de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4633de9335d15d7685bdecb007a3678c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3ae1d658b00453e3b299da7d8e7bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
10 . 设函数
的定义域为
,且区间
,对任意
且
,记
,
.若
,则称
在
上具有性质
;若
,则称
在
上具有性质
;若
,则称
在
上具有性质
;若
,则称
在
上具有性质
.
(1)记:①充分而不必要条件;
②必要而不充分条件;
③充要条件;
④既不充分也不必要条件
则
在
上具有性质
是
在
上单调递增的_____(填正确选项的序号);
在
上具有性质
是
在
上单调递增的_____(填正确选项的序号);
在
上具有性质
是
在
上单调递增的_____(填正确选项的序号);
(2)若
在
满足性质
,求实数
的取值范围;
(3)若函数
在区间
上恰满足性质
、性质
、性质
、性质
中的一个,直接写出实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94599cb88718850905a3183f868e6196.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/243a45670e2b2fe44496d3244ed5a68d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29727d2423eb2137a24d87c88923579a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b60cabd1fa3a8ac8d0f17a5a78c4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca3e75c786e25bb5498f5322ada2683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb52040907644b2b2a3ef2b9496a6e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9f77425fe265750eba6bc39a6fed92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4488b753e849ec852efb92faf55e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)记:①充分而不必要条件;
②必要而不充分条件;
③充要条件;
④既不充分也不必要条件
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7cb03f8877c6c2847844231f1e08b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d732fb3b18224150c8e83ff201ba54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-01-05更新
|
893次组卷
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4卷引用:北京市海淀区2022-2023学年高一上学期期末数学试题