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1 . 人工智能领域让贝叶斯公式:
站在了世界中心位置,AI换脸是一项深度伪造技术,某视频网站利用该技术掺入了一些“AI”视频,“AI”视频占有率为0.001.某团队决定用AI对抗AI,研究了深度鉴伪技术来甄别视频的真假.该鉴伪技术的准确率是0.98,即在该视频是伪造的情况下,它有98%的可能鉴定为“AI”;它的误报率是0.04,即在该视频是真实的情况下,它有4%的可能鉴定为“AI”.已知某个视频被鉴定为“AI”,则该视频是“AI”合成的可能性为________ (用分数表示或者保留三位小数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70831bd3d1c9307ebe22097ba985b81c.png)
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2 . 如图,在三棱柱
中,侧面
为矩形,
,
,D是
的中点,
与
交于点
,且
平面
.若
,则三棱柱
的高为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
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3 . 已知非零向量
,
不共线,且
,若
,则x,y满足的关系是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c84d34f931611e1b0e70b74132a3a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b925819f07ec85e3d94e0eedfaf0558b.png)
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4 . 在
中,
,
是边AC上一点,且
,
,若
为钝角,则当
最小时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e7ecde89911239d0972cfc1406b57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75a347fc94b884eda1e1e7848e35015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9ad150cb1e4cd8977d4cc3d99be17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a72dfbf0138a611174c36ce077e0c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591f688c933ffca281b3f78de6f3ae0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
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5 . 以
为始边作角
,角
的终边与单位圆交于点
,将角
的终边逆时针旋转
得到角
,角
的终边与单位圆相交于点
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0927d11bcf2658adacb4d49ae12a4f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de82aff5049dce8a3d56291dc2ae4af.png)
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6 . 若函数
有两个零点,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de7070f79cc2cc5f2542bf7629c47db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 已知正方体
的棱长为3,则以A为球心,
为半径的球面与该正方体表面交线的长度之和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce0249a3ff99c083fa4421877549db1.png)
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2024-06-15更新
|
160次组卷
|
2卷引用:江苏省泰州市2024届高三下学期四模数学试题
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解题方法
8 .
的内角
的对边分别为
,已知
,则
的最大值为_________ .
![](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/313d1d5bd9aa64032b2abd5d414c442c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7479ee953870e1ca87122a88ea606045.png)
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9 . 如图,已知平行四边形
的对角线相交于点
,过点
的直线与
,
所在直线分别交于点M,N,满足
,
,(
,
),若
,则
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328e8ec9120d4f382d63802421770a14.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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10 . 在空间直角坐标系中,已知A(0,6,4),B(0,3,4),C(4,3,4),
(0,6,0),
(0,0,0),
(8,0,0),则几何体
的体积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
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