1 . 已知
的内角
所对边分别为
.若
内部有一个圆心为
,半径为
米的圆,它沿着
的边内侧滚动一周,且始终保持与三角形的至少一条边相切.
为边长是16米的等边三角形,求圆心
经过的路程;
(2)若用28米的材料刚好围成这个三角形,请你设计一种
的围成方案,使得圆心
经过的路程最大并求出该最大值(若
为正数,则
,当且仅当
时取等号).
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.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/dad2a36927223bd70f426ba06aea4b45.png)
(2)若用28米的材料刚好围成这个三角形,请你设计一种
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/529b18236d8040085fea20d0bdb60c66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44acc0ee22dc4b7750e8be825e7c1355.png)
您最近一年使用:0次
2023-07-14更新
|
397次组卷
|
2卷引用:山东省潍坊市2022-2023学年高一下学期期末数学试题
名校
解题方法
2 . 在
中,角A,B,C所对的边分别为a,b,c,则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
2023-06-18更新
|
1115次组卷
|
4卷引用:山东省菏泽市2022-2023学年高一下学期期中数学试题
名校
解题方法
3 . 已知椭圆
的焦距为
,离心率为
,直线
与
交于不同的两点
.
(1)求
的方程;
(2)设点
,直线
与
分别交于点
.
①判段直线
是否过定点?若过定点,求出该定点的坐标;若不过定点.请说明理由:
②记直线
的倾斜角分别为
,当
取得最大值时,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8b44d7d5511f954ed8d59e346e265de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9b5e076078240e0c5ad9763a9824d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec8858389f4c3156a946ba8bf0d8a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
①判段直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
②记直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a5f1c3d7257dd42ca1d3d77f1576313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
2023-02-22更新
|
2085次组卷
|
5卷引用:山东省潍坊市2023届高三下学期一模数学试题
名校
解题方法
4 . 已知双曲线
的左、右焦点分别为
、
,过点
的直线
与双曲线
的左、右两支分别交于
、
两点,下列命题正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3390bb20d0954f0f320771a1c19d49ce.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/7fd86f94dec7de4d01c63a43ed6744cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.当点![]() ![]() ![]() ![]() |
B.若![]() ![]() |
C.![]() |
D.若直线![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-02-22更新
|
1655次组卷
|
4卷引用:山东省菏泽市2023届高三下学期一模联考数学试题
5 . 在三棱锥
中,点
在底面的正投影恰好落在等边
的边
上,点
到底面
的距离等于底面边长.设
与底面所成的二面角的大小为
,
与底面所成的二面角的大小为
,则
的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c1f914da4657eca7865982b130b299.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10-11高一下·山东·期末
6 .
已知向量
与向量
的对应关系可用
表示.试问是否存在向量
,使得
成立?如果存在,求出向量
;如果不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/2011/7/12/1570255702491136/1570255707906048/STEM/98d93ffd964041d08f3ff48d572272fa.png?resizew=12)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0de95dc888471ed33cf137b5284226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ec160a0518fbd3e3ea4293e51ac769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97438095118901a45782f8991d0569f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a97bc0e5239bd6dbc19e531bfca463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4177a11cd3853401ad352f492820f379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9856ad2a8dd1b673ec2cfa9ee0a1eaff.png)
您最近一年使用:0次