名校
1 . 已知命题
,
,则
的一个充分不必要条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10cb1bf19cb266a99a91c8fd691af69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d8586967a2e31636bb5faa416126f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知函数
,
的定义域均为
,
是奇函数,且
,
,则( )
![](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/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14f3e741b1b89e8ac71f2e4b990d443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94be17f91e6b19de4c9f7561a40746d5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
3 . P为圆
上一动点,点B的坐标为
,线段
的垂直平分线交直线
于点Q.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/9f3cd2a4-895c-48a3-b09d-c9808c0feac6.png?resizew=194)
(1)求点Q的轨迹方程C;
(2)如图,(1)中曲线C与x轴的两个交点分别为
和
,M、N为曲线C上异于
、
的两点,直线
不过坐标原点,且不与坐标轴平行.点M关于原点O的对称点为S,若直线
与直线
相交于点T,直线
与直线
相交于点R,证明:在曲线C上存在定点E,使得
的面积为定值,并求该定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bdd8aef4e6fa766a1e1b1a23b5c69ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a812a9b58ccba331cfd21d244329af01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/9f3cd2a4-895c-48a3-b09d-c9808c0feac6.png?resizew=194)
(1)求点Q的轨迹方程C;
(2)如图,(1)中曲线C与x轴的两个交点分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0276df41cac9dd65cdb868dad13d17e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b06b75fb4e379ff3b99e68f40136cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d649a149768f8d8cd4ba0802de142526.png)
您最近一年使用:0次
名校
解题方法
4 . 已知向量
,
,其中
,且
.且在
中,
.
(1)若
,且
,求角
.
(2)设
是
边上一点,若
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ab634b492431422baaaf87ab2af55e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475a74b7fe7ed4b183a2e719af41e741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dabbf6516ca79528155c3fbbb1c8ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cb5138a03b19266f82223899a614f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97fb8187165a47b16452c6010c2e0b47.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c5f477d4df973bdc98103a7f63d41ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a49d3f5290945ffde99491c95574bc79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7ce7733e861b352bd792c9425852c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d62ab5aa15eed7cfbc374c9c83382e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b85a534285d0ef83ec5de54b816c835.png)
您最近一年使用:0次
5 . 已知函数
的最小正周期为
,则下列各选项不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/805b10ed88b051ee7a56c82fbc2322ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
A.![]() |
B.直线![]() |
C.![]() ![]() |
D.将![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
6 . 如图,矩形
中,
,
是边
的中点,将
沿直线
翻折成
(点
不落在底面
内),连接
、
.若
为线段
的中点,则在
的翻折过程中,以下结论不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4e4a162f12d12a082b8d8fdd1aeab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2a83fed9bf4cb09d84a980452e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
A.![]() ![]() ![]() | B.存在某个位置,使![]() |
C.线段![]() | D.![]() |
您最近一年使用:0次
名校
7 . 集合
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527e7570993acf5ef68cd863f5ac5809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbe3aeec0b00a50faae93455ef703c9.png)
A.![]() | B.![]() | C.![]() | D.无正确选项 |
您最近一年使用:0次
名校
解题方法
8 . 在
中,
,且
,
是
的中点,
是线段
的中点,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39346db456e8935d6d95a14b1d50ccde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260dd4843d0e3b82cbf3435a0357c6b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a53b7118d7c3a7c8b3c591b177adf75.png)
A.0 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-06更新
|
2165次组卷
|
7卷引用:江苏省南京外国语学校2023-2024学年高三上学期期中模拟数学试题
名校
解题方法
9 . 已知平面向量
,则下列说法不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba3c444ac74b322940543cd36cbdeff.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
名校
10 . 设
,
,
是三条不同的直线,
,
,
是三个不同的平面,有下列命题中,真命题为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() ![]() |
您最近一年使用:0次