名校
1 .
的内角A,B,C的对边分别为a,b,c,点P为
的垂心,若已知
,记线段
的长度分别为x,y,z,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3930d8cda07e2571d2325c59be937b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5803f6fc09e7ac82fe1b06f57c64c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bb1063e139610045f3bca5ca0b2766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3930d8cda07e2571d2325c59be937b.png)
您最近一年使用:0次
2024-04-17更新
|
233次组卷
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2卷引用:甘肃省2024届高三下学期4月月考数学试卷
名校
2 . 已知定义在
上的函数
满足
,且当
时,
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935799b8d9f3de0c021e2a7df70d96f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce2594833690eedb3328fe747feb3a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad91e04a5faf7bc002d8bd42cd4a734.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09376fe8c1874d8eca2438007eefce14.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-17更新
|
532次组卷
|
4卷引用:甘肃省2024届高三下学期4月月考数学试卷
甘肃省2024届高三下学期4月月考数学试卷(已下线)专题9 式子大小判断问题(过关集训)辽宁省大连市第二十三中学2024届高三下学期校模拟考试数学试题(已下线)第02讲 函数的性质:单调性、奇偶性、周期性、对称性、最值(十六大题型)(练习)-1
解题方法
3 . 已知
是定义域为
的奇函数,满足
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a65a44f94bea7cfca95a303391ebe83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ea832b11f5a84b9bf3020271480631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0bbd9b6e68e9fc9d1e383dfc3ab0ed.png)
A.50 | B.2 | C.0 | D.-50 |
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解题方法
4 . 克罗狄斯
托勒密(约90-168年)是希腊著名的数学家、天文学家和地理学家.他一生有很多发明和贡献,其中托勒密定理和托勒密不等式是欧几里得几何中的重要定理.托勒密不等式内容如下:在凸四边形
中,两组对边乘积的和大于等于两对角线的乘积,即
,当
四点共圆时等号成立.已知凸四边形
中,
.
为等边三角形时,求线段
长度的最大值及取得最大值时
的边长;
(2)当
时,求线段
长度的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da03761b24f1f984effc210279e3555.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/d262480ffb55b7617f44b63f130c154a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f54eaded5dc438ef075a398f53365c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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名校
解题方法
5 . 锐角
的角A,B,C的对边分别为a,b,c,满足
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c52cac43f9853215319638cf13e8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f787941cb1abfe9bb757276b765c0b.png)
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2024-04-16更新
|
1133次组卷
|
3卷引用:江苏省如皋中学2023-2024学年高一下学期教学质量调研(一)数学试题
6 . 若
的内角
所对的边分别为
,且满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.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/3e86e097029b443a1fa263164f25163a.png)
A.角![]() | B.![]() |
C.![]() | D.角![]() ![]() |
您最近一年使用:0次
名校
7 . 已知定义域为
的函数
满足:对于任意的
,都有
,则称函数
具有性质
.
(1)判断函数
,
是否具有性质
,并说明理由;
(2)已知函数
,判断是否存在
,使函数
具有性质
?若存在,请求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a1e1b536866f25b17876d22213c6483.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3cc66b811ad2395efe04d93b61c711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/139637feb9604ec0331be72fb94fdc39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b90d9223ca11fa78563fdd28d0a2b88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69b5b8c4c24eab782174c5cae1b88a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69b5b8c4c24eab782174c5cae1b88a5.png)
您最近一年使用:0次
8 . 已知函数
在
上单调,且
在
上恰有2个零点,则下列结论不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3c521c23918381c5379c930a140973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01dc2d99655cf7598837cb0886166ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.函数![]() ![]() |
您最近一年使用:0次
2024-04-16更新
|
611次组卷
|
2卷引用:河南省南阳地区2023-2024学年高一下学期3月阶段性检测数学试题
名校
9 . 函数
在区间
上为增函数,当
的值最大时,函数
的零点个数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10b7d412efcef3a85f9c4874029ddc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef7eed21380a8207e72d06e5a34ff56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f0be6f256371953a9c467ed7eb707f.png)
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名校
解题方法
10 .
中,D、E分别为
、
中点,
,
,( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f01c4faacedfe56f5127d6c0cc63cf.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次