1 . 如图,某校计划在边长为
的正方形花坛
内种花,过
上一点P作
,
,分别交正方形
的四边于点E,F,G,H,连接
,在
区域种百合花,在四边形
区域种玫瑰花.若种植百合花的成本为20元/
,玫瑰花的成本为15元/
,则种植两种花卉的计划成本最少为_______ 元.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167e6e41ac221847824a72e964f340f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee73452ee4d5437f1399f1235b95e55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912ec2726c1c57bbc7c2d44e8a674a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f9f6c7d14b7be2b0c7d1267c9ca740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf98c81b7d0f84b4a974b2cb7a43918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/25/e6ee2e64-d713-4f83-b38f-f2fad029e826.png?resizew=139)
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2 . 综合运用
在矩形
中,以点
为坐标原点,分别以
,
所在直线为
轴、
轴,建立平面直角坐标系,点
是射线
上一动点,连接
,过点
作
于点
,交直线
于点
.
(1)如图①,当矩形
是正方形时,若点
在线段
上,线段
与
的数量关系是_________(填“相等”或“不相等”);
(2)如图②,当点
在线段
上,且
,以点
为直角顶点在矩形
的外部作直角三角形
,且
,连接
,交
于点
,求
的值;
(3)如图③,若点
,点
,点
在线段
的延长线上,点
在线段
的延长线上,
,连接
,取
的中点
,连接
,设
,
,求
关于
的函数关系式.
在矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627a9e02e94a5dbda8b0df0090974bea.png)
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/411ee1e6-f225-4030-a71a-ac073c2a6726.png?resizew=461)
(1)如图①,当矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
(2)如图②,当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e14bf3f4b6174904f733d72853f287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/630a21ba7a8e1b8bca73c1634cc6f74d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064213ea888b9dbcd35506abb0211e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2d8811d24ff319066e6dd9408ec255.png)
(3)如图③,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee33736169c249a029f478a605dc2c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a65d8ff9318909d18b6e1c76f90d61f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a01283f3db80f9e8789a88fb03c1e344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4cd68cc82e90a5e2049a7ea3171b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4cd68cc82e90a5e2049a7ea3171b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5eb95ca8e59f32cc6c27ff668bb71e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21957e4ca5631ac38e7eb6afa118bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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3 . 蔬菜大棚是一种具有出色保温性能的框架覆膜结构,它的出现使得人们可以吃到反季节蔬菜.一般蔬菜大棚使用竹结构或者钢结构的骨架,上面覆上一层或多层保温塑料膜,这样就形成了一个温室空间.如图,某个温室大棚的横截面可以看作矩形
和抛物线的一部分
构成(以下简记为“抛物线
”),其中
,
,现取
中点O,过点O作线段
的垂直平分线
交抛物线
于点E,
,若以O点为原点,
所在直线为x轴,
为y轴建立如图①所示平面直角坐标系.请结合图形解答下列问题:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/b78fc467-5e29-4338-a1b9-dc3f0178ae96.png?resizew=354)
(1)求抛物线的解析式;
(2)如图②,为了保证蔬菜大棚的通风性,该大棚要安装两个正方形孔的排气装置
,
,其中L,R在抛物线
上,若
,求两个正方形装置的间距
的长;
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/b70d4308-b88e-44a7-a8d3-16dea7606588.png?resizew=143)
(3)如图③,在某一时刻,太阳光线透过A点恰好照射到C点,大棚截面的阴影为
,此刻,过点K的太阳光线所在的直线与抛物线
交于点P,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9b32570d553161be04d13954e92a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9b32570d553161be04d13954e92a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ddcf6bbeeaa5b4a6e8c65ca24a5d26d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e604056e427f82f7a282e8ad3d14e636.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9b32570d553161be04d13954e92a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9540ee5a6df2c60af8008e7e48e64714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/b78fc467-5e29-4338-a1b9-dc3f0178ae96.png?resizew=354)
(1)求抛物线的解析式;
(2)如图②,为了保证蔬菜大棚的通风性,该大棚要安装两个正方形孔的排气装置
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c1474be3f65ff7d33abdf5da0ed97a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1840e6835b43c58244cde9f70f0a0009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9b32570d553161be04d13954e92a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfaeb63d7bf0bc74876f9f23d8c3863f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9e953a4a5f98c96bbe67cbaadf76d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/b70d4308-b88e-44a7-a8d3-16dea7606588.png?resizew=143)
(3)如图③,在某一时刻,太阳光线透过A点恰好照射到C点,大棚截面的阴影为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ad8115387158c8dda205d26968ba11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9b32570d553161be04d13954e92a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65bb1c5af4c7a9376882867e07690b18.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/a5ecbe89-c710-425c-8fda-3dfc413be36d.png?resizew=323)
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4 . 如图,用总长为60m的篱笆围成一个一边靠墙(墙长32m)的矩形场地,矩形面积
随矩形的一边
的长
的变化而变化.
(1)求出S与x之间的函数关系式;
(2)当x为多少米时,矩形场地的面积S最大,最大面积是多少平方米?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8971606eb643d7f5993555f6d1e96c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f193416fbd3c6270c178009aaa27c255.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/23c2746b-18e5-4e0b-95a3-e5cd1e882eb4.png?resizew=136)
(1)求出S与x之间的函数关系式;
(2)当x为多少米时,矩形场地的面积S最大,最大面积是多少平方米?
您最近一年使用:0次
5 . 某小区有一块绿地如图中等腰直角
所示,计划在绿地上建造一个矩形的休闲书吧
,其中点P,M,N分别在边
上,记
,图中阴影部分的面积为S,当x在一定范围内变化时,S随x的变化而变化,则S与x满足的函数关系分别是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/3461bbff-e65e-4058-81af-be5519758f14.png?resizew=123)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34b35208c9e507587a947df63ff4137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05aff4a8536aec6a72aab47188cd672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea98a1fefa6385dd05aded1ebce24edf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/3461bbff-e65e-4058-81af-be5519758f14.png?resizew=123)
A.二次函数关系 | B.正比例函数关系 | C.反比例函数关系 | D.一次函数关系 |
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名校
6 . 2022年教育部正式印发《义务教育课程方案和课程标准(2022年版)》,《劳动》成为一门独立的课程. 某学校率先行动,在校园开辟了一块劳动教育基地,用一段长为30米的篱笆围成一个一边靠墙的矩形养殖园
(靠墙的一边
不需用篱笆),墙长为16米.
的长;
(2)求矩形养殖园
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求矩形养殖园
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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2024-01-17更新
|
270次组卷
|
2卷引用:广东省广州市越秀区2023-2024学年九年级上学期期末数学试题
7 . 如图,用一段长为30m的篱笆围成一个一边靠墙的矩形菜园,墙长为18m.菜园面积的最大值为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/de85ca67-b454-4f97-aa5a-682f7491d12f.png?resizew=183)
您最近一年使用:0次
8 . 工人师傅用一块长为
,宽为
的矩形铁皮制作一个无盖的长方体容器,需要将四角各裁掉一个正方形.(厚度不计)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/b677adc1-ad81-4195-991f-61cd9c313456.png?resizew=106)
(1)若长方体底面面积为
,裁掉的正方形边长多少?
(2)若要求制作的长方体的底面长不大于底面宽的五倍,求制作的长方体容器的底面面积的最小值?
(3)在(
)的条件下,由于实际需要,将容器内侧和内底面进行防锈处理,侧面每平方分米的需要的费用为
元,底面每平方分米需要的费用为
元,当裁掉的正方形边长多少时,总费用最低,最低为多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8f5082ecda02c5992228accf4e999b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4808677c177885e653933ab00a00574d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/b677adc1-ad81-4195-991f-61cd9c313456.png?resizew=106)
(1)若长方体底面面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191e7bb7f2dc61a5f85d0d4a045eb817.png)
(2)若要求制作的长方体的底面长不大于底面宽的五倍,求制作的长方体容器的底面面积的最小值?
(3)在(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec818fc0754296163206e1e8870f9e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
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2024-01-16更新
|
63次组卷
|
2卷引用:河北省邯郸市永年区2022-2023学年九年级上学期期末数学试题
9 . 综合与实践:“如果一条直线将一个三角形的周长分成相等的两部分,那么这条直线就叫做这个三角形的等周线”.如图,在
中,
,
,
,点
,
分别在边
和
上,且直线
是
的等周线.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/896ee1cc-9df4-4559-b46c-c2a6c6649b36.png?resizew=179)
(1)
的周长为________.
(2)若设
,求
的面积S与x的函数关系式.
(3)在(2)中,
的面积
是否有最大值?若有,求出此时
的长;若没有,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/896ee1cc-9df4-4559-b46c-c2a6c6649b36.png?resizew=179)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a39d728c8d241ceb1e1f84eb53b28d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
(3)在(2)中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
您最近一年使用:0次
10 . 如图,在矩形
中,
,
,
为
中点,直角
的直角顶点
在边
运动,
始终过点
,设
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/ab6e19de-ff5b-4940-bd1e-2c71f7aee954.png?resizew=177)
(1)求证:
;
(2)若
与
所在的直线有交点,该交点用
表示,用含
的代数式表是
的长,并求出
的最大值;
(3)求出当
过点
时
的值;
(4)
__________时,
为等腰三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.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/e07505530a9ec2f9c8a23e3c9eafa313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2273ae1ee99cec9c1304323bc9ebf75f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96bc55510792f8bd30e1c0686609fe3c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/ab6e19de-ff5b-4940-bd1e-2c71f7aee954.png?resizew=177)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b443284d6aa824f564e0d6e0d7d39ac.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1460aa3d83df61f6c411b34412135451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1bd75fbe8bec72e27a3b3b6d48f138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1bd75fbe8bec72e27a3b3b6d48f138.png)
(3)求出当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1460aa3d83df61f6c411b34412135451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
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