正四棱锥的主视图
![底面为正方形,pc与底面abcd垂直(图1),图2为该四棱锥的正(主)视图和侧](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A73852A31C1C0763F90BAEB690D37400529EED59736CCC381F33959B5BBC8C455EE3E911958F3F24F6C4582E5B873848C9BE2B892220A6C063869EB4F6DC118C9DF5AA6CB33160968BB0EB00369C58225D6)
底面为正方形,pc与底面abcd垂直(图1),图2为该四棱锥的正(主)视图和侧
图片尺寸902x1053![正四棱锥](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E831031281A3D93775DCAEEDB7687245EE0971E00EF51B43C2A032D0B79168F7FE4BC00B53388A17B75CDB279A6CAEB6F42D80AF02F71C63E86B510FB270BEB4342D9FC963ED91BABBAAA8C9CB46EF3620F)
正四棱锥
图片尺寸455x401![正四棱锥怎么画](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E945DADD8D860784FDA5E5EE3307506ABABF48AF726F7E2FB25549753650764B2DA8FCEB03215C387D0C1652FC3792713580C52AC3770AA9CDED8DE9A6B416321765924C47C139AC49BA5670BB4B915B86)
正四棱锥怎么画
图片尺寸500x667![已知正四棱锥的底面边长为,侧面积为,则该四棱锥的体积是________.](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E837791522365BC298C61BD8E8F9A58DA2BC01A7F42ACACEF326272E087D1BB05F7D29BB19F9A0581E971578CFAD5C97D98853AAC61990C24A23D3056DA443842A0512D3BDEAE787C5142445928DA4E30E0)
已知正四棱锥的底面边长为,侧面积为,则该四棱锥的体积是________.
图片尺寸2832x2432![一个四棱锥的三视图如图所示,其正视图和侧视图为全等的等腰直角三角](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A736FBDB364CB0F5A36EE61BF912EF46FF0EB354BFF379783555E400BAF0B27F29708522E409A8C1D34E6AF03BD979CB49428B2FCF6448CEF5DEB6687DBB72C74486D41D9433ADB26329456D75F867DC128)
一个四棱锥的三视图如图所示,其正视图和侧视图为全等的等腰直角三角
图片尺寸669x601![【从零开始】四棱锥入门教学!干货满满! - 元艺考](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A734BC19E33D86C57B47A5A6616FF8E851EF1AC6F70766E4946CD241573EE0566D55D40D05587877517833A158A390DE9DC3E8A5D8A245E99F3509DF9B5A92A0651AC28AC2FDA36284C31D779D992D16DD6)
【从零开始】四棱锥入门教学!干货满满! - 元艺考
图片尺寸1000x1318![[解析]由题意首先求得四棱锥的高,然后利用体积公式可得四棱锥的体积.](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9416890EECCB474C2A8E42221F249A0C41A9A09FA82168CCB69C3B64BAA0B0D48E793175DD090785E3E3E5B614033DC71B3B485CCC50555ECA6A3A484DE5B71600FED74FB3EAC91678535DAE5272F0182)
[解析]由题意首先求得四棱锥的高,然后利用体积公式可得四棱锥的体积.
图片尺寸578x552![13分已知四棱锥pabcd的正视图是一个底边长为4腰长为3的等腰三角形](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A73224B13AACF66196D74120C5F15C05958DB2335DD6A98D8A49F14190E032F34B6A9C27C746CF55A2446474C9DABEF01247127758A870DAEE79149F7B26E65612473220A9676B0A014D69A7FA5AC67B3BF)
13分已知四棱锥pabcd的正视图是一个底边长为4腰长为3的等腰三角形
图片尺寸1870x666![【从零开始】四棱锥入门教学!干货满满!](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A7392BC51CC168430F898C2C8989EC25E00F12F34C3B0C88BCD4783997BEFFF62F0563CF5F7BB14116FB952F1E3D97B9F75453CD9766BB145BA7098814145618709D98BE68F246E1B72C1F47A1793678693)
【从零开始】四棱锥入门教学!干货满满!
图片尺寸1080x1424![(文)(2014·抚顺市六校联合体期中)已知正四棱锥o-abcd的体积为,底面](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E91A6F98ED85FD360F64326575DBCDFF90069AD464E12CC8AAB789D91EF26BEBDA9661D75DD4C963173848A26C21C11907EDDB2734A7C37CD00073A563838F71E7E37D5C512FACF12F4B3D21D0D37F0699)
(文)(2014·抚顺市六校联合体期中)已知正四棱锥o-abcd的体积为,底面
图片尺寸906x910![正四棱锥的性质](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E99690B1D0C5102BD8C7E475C68FA841DCE0646632569F567A0C7533687008A98754A3F1AFABE2833B67D121ACA671325FFB0B816A769D99B10FBF4A63C5B2D5CB2C3CED5819FFCD1BFD1FF90FE059A300)
正四棱锥的性质
图片尺寸600x400![四棱锥 主视图 左视图 俯视图](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E9C188E681F0006389B968124E75D14A8A55AA8175E30A13620C8054540B095DAFF832F9701BD4E699AD3AE1D97EA9C0AE54B6CB79B6110ED32DD2BEA01CDE79A30C46A1B637B61A801BBF72C02CA12849)
四棱锥 主视图 左视图 俯视图
图片尺寸1080x810![正四棱锥 1,正四棱锥的组成 s 由一个底面和四个侧面组成.](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A733860866570B8AF99DA0E302010666421AC2C7A59F673CA379FF97EC2BD953208548261286B2E95E0D34BF340E628C069B4F00C44E0DABEA0F26B2E6F14336BF577CC2222D707823E6E1F7BC5AD3618E9)
正四棱锥 1,正四棱锥的组成 s 由一个底面和四个侧面组成.
图片尺寸1080x810![正四棱锥p-abcd各棱长都相等,则pa与底面abcd所成的角为](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E92900144CE117E54FED39771B2FCC85261FA30AA3C651C11CBF52908EC63217EB880D0C3F02AEBF83A14AACBB4CDDAEE731474613CF134914AB5E6324F76649B4CE90A72CDE7A71C57A0BAF90F2EB613B)
正四棱锥p-abcd各棱长都相等,则pa与底面abcd所成的角为
图片尺寸315x239![活动作品四棱锥体素描临摹](https://imgs.wantubizhi.com/img/A1A61BAA66193547F3A6DD7D8EE527E953E0FD618DC008F4E2A2CEE25E263BA192E8FE4884CA8FE3EE4965D6C47D155BA64A276E97EFCB8156AA1018B3FB2BE85D0F8A34971D54C64371D3DD47C861FF8536F8CF513223CA397C4EB083E6ACBE)
活动作品四棱锥体素描临摹
图片尺寸1213x682![如图四棱锥v-abcd中,底面abcd是边长为2的正方形,其他四个侧面都是](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A73ECD6AD86A92DDE8C13CAA795D7291E8385CA8F08DAEA7254D03E5B0E4B87C8734A18221C24178413C0026FE1C12A91AEFC6853F1573EA737EC605FEBF4279C45702805BDF7C5B12EFB8A4C42BCBB4CFA)
如图四棱锥v-abcd中,底面abcd是边长为2的正方形,其他四个侧面都是
图片尺寸640x384![如图四棱锥p-abcd,它的正视图如图(1),是等腰三角形](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A734CBDC0BFC7EB38C3192C7195ACC9C9486B73994EAAB0E8987D4F2B2D7D09C88FA895DE3EFA9CE18029764C683439A1351297EA4D672948EAA86DD3DFFBC40AA233AF2DA77D82AAE7F65E288ABA767C75)
如图四棱锥p-abcd,它的正视图如图(1),是等腰三角形
图片尺寸517x398![如图,在正四棱锥p-abcd中,底面边长为2,侧棱pa=√6,e为bc的中点,f是](https://imgs.wantubizhi.com/img/ADDA3C5D760C6828B77B505A29D43E833421786C3DAEAD91EE154921D909473F92473F9D778AAAC33DDB763B4E43FE7F21B75C6E8F7F3D98B0E5B721119668003E05D268A1F369A57F2F78092B7FF4DFE86F8B8A2AEE047504358C478CE1E98A)
如图,在正四棱锥p-abcd中,底面边长为2,侧棱pa=√6,e为bc的中点,f是
图片尺寸3700x1996![(ⅰ)求此四棱锥的外接球的体积;(ⅱ)为上一点,求的最小值;(2)将边长为](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A73EC4D84A22B0E137A1FD0D0FB6FED3B24C4A43A7147B9641F84CDD9AD9F74A12A250257C4268FEC7E62DDA30163BDC4CFF5BBA1F460751C86E41A3D04CF6BA41E7BC778F6DAAE843D225E0CA31E6BC646)
(ⅰ)求此四棱锥的外接球的体积;(ⅱ)为上一点,求的最小值;(2)将边长为
图片尺寸346x309![求底面边长为a,高为2a的正四棱锥的侧面积](https://imgs.wantubizhi.com/img/735A5D1F980B52A636CC46F12F2D1A73F9A73EF4E94B05F7F3E6E92A74190D5C2E90DCC8339A0AAFC4C0A3AF7F3885115EEAC4ECBC9778EA4913056267ECB8DC47A6228EFA3FC032CB9C15333704F7DB1C5733269E2987EA15B61346E196EFEA)
求底面边长为a,高为2a的正四棱锥的侧面积
图片尺寸381x291