名校
1 . 设
,
.
(1)若x,y均为锐角且
,求z的取值范围;
(2)若
且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d018fc39fe3a5feee51a08ee8c58483e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ebed1b93046c28dd4ce381df0ca441f.png)
(1)若x,y均为锐角且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3085600fba3d8ce8403ddc8b44996f88.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7204495706847fd4c8abc55e89c9a35f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598caae9102ce0b49bdd2ea12189562d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eca80d80b6e1577762585b69145736b.png)
您最近一年使用:0次
2024-06-13更新
|
45次组卷
|
3卷引用:四川省成都市树德中学2023-2024学年高三下学期适应性考试数学(文)试题
解题方法
2 . 如图,动直线
与抛物线
:
交于A,B两点,点C是以AB为直径的圆与
的一个交点(不同于A,B),点C在AB上的投影为点M,直线
为
的一条切线.
为定值;
(2)求
与
的内切圆半径之和的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27fafbd865bb0508b0bffdc7e91880b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93954200ff032cc460f37778dc3d0b2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7ab10c3b9021757e9a89ab47807484.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dddb32a7a5c157fdf8aa049b2d665b4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f955e5cc9f108de6f3ca01e5eb84c52e.png)
您最近一年使用:0次
2024高三下·全国·专题练习
解题方法
3 . 若定义在
上的函数
满足:
且对任意的
,有
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44651d60374bd5688f365d17b61a36b.png)
A.对任意的正数M,存在![]() ![]() |
B.存在正数M,对任意的![]() ![]() |
C.对任意的![]() ![]() ![]() ![]() |
D.对任意的![]() ![]() ![]() ![]() |
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名校
解题方法
4 . 下列关于函数
的论述中,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ffd63eb7acd452e288c1b0adbf8a11.png)
A.是奇函数 | B.是增函数 | C.最大值为![]() | D.有一个零点 |
您最近一年使用:0次
5 . 已知
,关于x的不等式
的解集为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a42fff822c5f61fec5fcd5c8e86941e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e080d3d338e4398d91b493797eb8ce33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e0a0dde137e24c80d0afeec024f2b6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-14更新
|
824次组卷
|
2卷引用:甘肃省陇南市部分学校2024届高三一模联考数学试题
解题方法
6 . 设
为坐标原点,
为抛物线
上异于
的一点,
,
.
(1)求
的最小值;
(2)求
的取值范围;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9f2b482e8a8e0e1b5c720a3574af70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24f172a287592897ea4378a2ad29013.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb8a80473da8d3f571def3f3f34086d.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e66ea801d8df6d13f924cae67fc1db.png)
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名校
解题方法
7 . 如何计算一个椭圆的面积?这个问题早已在约2000年前被伟大的数学、物理学先驱阿基米德思考过.他采用“逼近法”,得出结论:一个椭圆的面积除以圆周率等于其长半轴长与短半轴长的乘积.即
.那如何计算它的周长呢?这个问题也在约400年前被我国清代数学家项名达思考过.一个椭圆的周长约等于其短半轴长为半径的圆周长加上四倍的该椭圆长半轴长与短半轴长的差.即
.若一个椭圆的面积为
,那么其周长的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77eb547993ca74d688376212c171841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf0bffa192d1b27c3f8bb12b2d97886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5123f873f55634302e33e1cca519fbbc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-17更新
|
543次组卷
|
3卷引用:2024届高三七省联考数学原创押题卷(全国新高考地区适用)
名校
解题方法
8 . 如图所示,镇海中学甬江校区学生生活区(如矩形
所示),其中
为生活区入口.已知有三条路
,
,
,路
上有一个观赏塘
,其中
,路
上有一个风雨走廊的入口
,其中
.现要修建两条路
,
,修建
,
费用成本分别为
,
.设
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/26/1fcb3149-cddf-462f-a228-8f68d1a3c831.png?resizew=179)
(1)当
,
时,求张角
的正切值;
(2)当
时,求当
取多少时,修建
,
的总费用最少,并求出此的总费用.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dabfa1b05d1440a42469adf0d871b95c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6526f2b85a9ecb86068dd7690105fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef10ca4f07bbda64d78ee6f13158e279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef10ca4f07bbda64d78ee6f13158e279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb81a200cf22efca514ddc0c5b41e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee4166c963f7bf0c7a62f3e2a85d305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce5753e08314463418b9ff05a3d2523.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/26/1fcb3149-cddf-462f-a228-8f68d1a3c831.png?resizew=179)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c42b962b2435a1c451d74e128982188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5514bd4247767f0933213b3aa3a0c3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f2232e660554ea1a736b90031a52ce.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a68c918b092abeee116535242a05fa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef10ca4f07bbda64d78ee6f13158e279.png)
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
9 . 对于函数
,
,以及函数
,
.若对任意的
,总有
,那么称
可被
“替代”(通常
).
(1)试给出一个可以“替代”函数
的函数
;
(2)试判断
是否可被直线
,
“替代”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98fc12a55077b09eeef63d4f8f87a2cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4bb38c59f32e7b96aea3d6049935066.png)
(1)试给出一个可以“替代”函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc85e8ec462b84e34485e505a766a339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b423bb9ba62442970b9370de1612168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f227b6c95dbb8495a5b76a1cb2e8d38a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44822a399f305f2e1b6ab00f1222056b.png)
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解题方法
10 . 记不超过
的最大整数为
.若函数
既有最大值也有最小值,则实数
的值可以是___________ (写出满足条件的一个
的值即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c008e2cddeadc03542773f973f103693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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