解题方法
1 . 已知集合
,
.
(Ⅰ)求集合
;
(Ⅱ)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6599af7404575a9d3e2f2b0fa57e4ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a42838367b2aee4cd4238a11cc6a4e.png)
(Ⅰ)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37fe399edee540a30a04f7cdbeecd29.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . (1)计算
;
(2)计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24cddd2c7329911d11244bb06fd4491a.png)
(2)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c3232fd6d585d4656e52375f6b6b68.png)
您最近一年使用:0次
名校
3 . 如图,在四棱锥
中,侧面
为正三角形,底面
是边长为2的正方形,侧面
底面
,
为底面
内的一个动点,且满足
,则点
在正方形
内的轨迹的长度为_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b723672c82c0affb2e2e1ac5c00a2cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/24/4b569c81-3968-4002-b2ed-1fedc3cfef0c.png?resizew=200)
您最近一年使用:0次
4 . 已知椭圆
的左焦点为
,右焦点为
,设M,N是椭圆C上位于x轴上方的两动点,且直线
与直线
平行,
与
交于点D.
(Ⅰ)求
和
的坐标;
(Ⅱ)求
的最小值;
(Ⅲ)求证:
是定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533b93dd6eb6b474481247736699c76c.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/6b67528f875a6d4bac8bbf784f7b66a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a12a030f853a383a50fd889486c9f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183b6a0cef4256c9696a5bca31053da5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90a03b11a51bd7824aa4094526e5aec.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1883e4ce2d1f81c56faf62b932e168f7.png)
(Ⅲ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98399dc03e80f17e15fbb9b80e3cd676.png)
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5 . 若
是函数
的两个不同的零点,且
这三个数可适当排序后成等差数列,也可适当排序后成等比数列,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc988de1f5918be9fd8cd17e0d43668f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8166c82c27bd72e556a2726ba648bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知集合
,集合
,那么
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc03ec3d78487844b44cd273efc9188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e332c2c2a5963ed28a7c50d85f8903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46430c959568544de34259c5a74c5563.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知向量
,
,若
,则(
)•(
)的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0341a49f58d429fc3c9e29f5e4ccffd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5037ff5ea77d4e0a29b55cf4f51db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b10fcb357632baa9a714f9a799627c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ba3044a7c42832c241b7518218721c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a955af79c2b18fde0c410501a8b95c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知
,函数
的零点从小到大依次为
,
.
(1)若
(
),试写出所有的
值;
(2)若
,
,
,求证:
;
(3)若
,
,
,试把数列
的前
项及
按从小到大的顺序排列.(只要求写出结果).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95b44bcf02cbb88375f985d684bccc40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ea8f47d8d8d9e1832d52b1c7425450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b791e21f0cc98635769828698a1320d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d68fd2784a805b6fd77054d4ee03e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573394d925f221e828978ba5b528dd39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a93e9e43ca05b55303c42f0f6d4c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f6265b5cfc433d17212dd3594c16a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62894060d68ec16848956119bae0ee1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c493cdda260a098d3265625548c3484.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8370527f164223e696ddb95da6454ad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd620050fdac0e7978309b64b3c95fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68cc3cd4fb0aa498b21b354606f11514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
您最近一年使用:0次
9 . “
”是“
”的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0aadf0eb2b12d8d6653f4edf8ee0727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2019-12-17更新
|
236次组卷
|
2卷引用:福建省福州市鼓楼区2019-2020学年高一上学期期中数学试题
名校
10 . 下列四个数中,最小的一个数是( )
A.0 | B.-2020 | C.![]() | D.![]() |
您最近一年使用:0次
2020-10-18更新
|
145次组卷
|
2卷引用:江西省南昌市第二中学2020-2021学年高一上学期入学考试数学试题