1 . 已知圆
,直线
.则以下几个结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1a0d6d9bd895f00222199cf09d9073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768c28b763533923dfa532eb5635f4c5.png)
A.直线l与圆C相交 |
B.圆C被y轴截得的弦长为![]() |
C.点C到直线l的距离的最大值是![]() |
D.直线l被圆C截得的弦长最短时,直线l的方程为![]() |
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2024-06-07更新
|
332次组卷
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2卷引用:广东省汕头市金南实验学校2024届高三下学期三模数学试题
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解题方法
2 . 若复数
(i为虚数单位),则
在复平面内对应的点位于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998015ddce8d4bc27709e13b03ab9f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83a618dbd21b9929f1e99d21b5ccb9b.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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3卷引用:广东省高州市2024届高三下学期适应性考试数学试题
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3 . 在
中,角
所对应的边为
,
,
,
,
是
外接圆上一点,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.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/f289ef19c7418a898ea18747aa76e783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b85155ef02a3d4ad84819e14d0c12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.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/2638dd9f105d1a2a00f995ec25e04441.png)
A.4 | B.![]() | C.3 | D.![]() |
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657次组卷
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3卷引用:广东省佛山市顺德区罗定邦中学2024届高三下学期冲刺实战演练数学试卷
4 . 等比数列
满足
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ef35b21da4cd8130642539d8245f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17cf962f8801d1a4845df3720f685e3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.![]() | B.![]() | C.1 | D.2 |
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解题方法
5 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f66f52718d2794ebc4c912f29486c31.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f66f52718d2794ebc4c912f29486c31.png)
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6 . 已知两条直线m,n和三个平面α,β,γ,下列命题正确的是( )
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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7 . 已知等比数列
公比为
,前
项和为
,且满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.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/f9954d6701d2b7d8302684bb896a1afe.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 定义两集合
的差集:
且
,已知集合
,
,则
的子集个数是( )个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396a6a8f9774d36d8af029d404ee07c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e10255d9c38c5db2be76d20e809acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b743b6904e6b739da17c1e5bb082289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87b4542219c8be7c8f19b81c55b005a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7474df966fe3085468537375a15f48e6.png)
A.2 | B.4 | C.8 | D.16 |
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9 . 当
时,复数
在复平面内对应的点位于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ea4da5e3cfeb26fdc0eb830b1c11c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6da532b307d0f38cb75709954aebdf2.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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10 . 如图,在直三棱柱
中,
,E为
的中点,F为BC的中点.
平面
;
(2)若
,求平面
与平面AEF的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96a6b20a35af7755e5d90789ea862da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
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