2025高三·全国·专题练习
1 . 若实数
满足约束条件
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2a3bb3bd1bf87f61f17b7c22c6e282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c933f75333c29fe87468c5ab038edb79.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2025高三·全国·专题练习
2 . 等差数列
的前
项和为
,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc1ec50ff0c75ebb3d136144ddc8d23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259b2e755105c0ee479eabf7265a76a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
A.![]() | B.![]() | C.1 | D.2 |
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3 . 已知甲、乙两个圆台上、下底面的半径均为
和
,母线长分别为
和
,则两个圆台的体积之比![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509322d1ac9bebd7cb434c17a7ee53ec.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2858005b9ae89ae080d83dcc13cf8e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3e95410f3b4fcb0cba425b521d1f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9c70db11cd811fc2ff0fff93988b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b252300558bc5528b39b0bd8bc9b8074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509322d1ac9bebd7cb434c17a7ee53ec.png)
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4 . 在
中内角
所对边分别为
,若
,
,则
( )
![](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/ffe7a93172d308a58200e3c722fe1072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280e3d69e0c10d6a9ba6d4227b3f3d7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe6e6b495c56a3618936dc96b91bf43.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2025高三·全国·专题练习
解题方法
5 . 已知双曲线
的上、下焦点分别为
,点
在该双曲线上,则该双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad29d7c31087e13e266793832af17bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c7f66cac2517f8a68d82a12ca65f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8680fdb33fa1b9d30819518462191af.png)
A.4 | B.3 | C.2 | D.![]() |
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名校
6 . 下列命题为真命题的是( )
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若随机变量![]() ![]() ![]() |
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昨日更新
|
150次组卷
|
2卷引用:2025届甘肃省张掖市某校高三下学期6月模拟考试数学试题
名校
解题方法
7 . 设
为数列
的前
项和,
,则“
”是“数列
是以
为公比的等比数列”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f7cf472cbb97be7f308ea4f9eab5de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129cdeea82367ac15a49f71d62c1dd63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.充要条件 | B.充分不必要条件 |
C.必要不充分条件 | D.既不充分也不必要条件 |
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解题方法
8 . 已知非空集合
,若
,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990c0730b35c911386e87c39791917d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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解题方法
9 . 已知倾斜角为
的直线
与椭圆
交于
两点,
为
中点,
为坐标原点,则直线
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4402aeb853b22f20992156957ef0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4529213dde4ae15d53826ce2dd8c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次