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正方体ABCD-A1B1C1D1的棱长为1,E是A1B1的中点,则E到平面ABC1D1的距...
试题详情
正方体ABCD-A
1B
1C
1D
1的棱长为1,E是A
1B
1的中点,则E到平面ABC
1D
1的距离为 ( )
A.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE0SURBVEhL1ZY9DsMgDIV9LgaOk52bMHMQVg6S
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6IuaTt0FFJu9kQj3WyCCRyPT3XgGSDK8QRk8kCY3BWiP5PBxiaVbOHp4G2CtjWu1ABT6jO8zANKR
Fm3kUlHJW8UYQF5ILDqoZ+EI0klFCYiSr+GqNzfDdGqBIPS8BWZO4xapmHqwAixN3AHsZkEqtpc+
vYRqTLxT+bN2fOU2aT8ClAkkTZUHXFirgCaOJRDPgBLSALxzVcV4lScq1h6w6Vu3wFbwDLwHqPzo
n+ukBZp9hW5xH4YAp9rZ77G6AHK+Ct9gJAvjnJ+cSqa1gzNuZX2MTz3YnKX+B8bu5q/kwQut7P6b
b/Nk4wAAAABJRU5ErkJggg==
)
B.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEvSURBVEhL1VTJDcQgDHRdPCgnfzrhTSF8KSQP
SvFicnCZAFpFq0WKRNAwjMcHILMAAGc+ugo9Au6cxf4JgVPJE+UK0WMPvEF5XaJ9MFgaf5MMCbxz
mOCI3kgEae6zIUFjMoXzDQEpWAqhVOBQZa8fhWS30+EtGROM4pZTCsscBAJrbcRqASj0HvdUxvUi
6VUGD+wNjEoOFQ1BMC6PG8P/RVY8tYWXSUVOENPWNFcKpSDYtUAQmg2h11xNsKSC82CaoGfiEkEP
zJ0HtXPTh8OVaVx5NsPyJbdA9hJBPoGq5qnFcUWfJlBoHUUmc01wMjUEowk0VlAjKJwVBe19YNv4
wj1nIZ/IndQ+EHg0sp1A0x44JTEb/93SYhU04yubQEMFTnHN1Q/lpVL+fTMtKPgAkZz+NHVpDlkA
AAAASUVORK5CYII=
)
C.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACfSURBVDhP3VNBDsAgCOvL+BPf4TM8hacwmZnD
uc2L2WEmxphgi22BTxYWFpg4gVysx6wUyg6g7KeCWuX884JdpNChbtZTrJVePNg6pzgauzsDdI6w
KFEtMEUoEs+hgoeKTboITSlKUsJUuxcm1KGMvwi6jHD9hfKbWV0/9WmiMBfiku27udhHY5yJhhCd
55DEIB13RFOjUSfVZ2a9eL4BYBXpBOX9qe0AAAAASUVORK5CYII=
)
D.
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正方体ABCD-A1B1C1D1的棱长为1,E是A1B1的中点,则E到平面ABC1D1的距离为 ( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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D.
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D.
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jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACfSURBVDhP3VNBDsAgCOvL+BPf4TM8hacwmZnD
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55DEIB13RFOjUSfVZ2a9eL4BYBXpBOX9qe0AAAAASUVORK5CYII=
)
D.
-
正方体ABCD-A1B1C1D1的棱长为1,E是A1B1的中点,则E到平面ABC1D1的距离为 ( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE0SURBVEhL1ZY9DsMgDIV9LgaOk52bMHMQVg6S
gaO4mNIA5jdROzRSpaiCz88P/BTAzgMAuPOjrTAC9P7vrv0TgFPZE+Uq0RseOFTXpvAeDC4Za4D3
6IuaTt0FFJu9kQj3WyCCRyPT3XgGSDK8QRk8kCY3BWiP5PBxiaVbOHp4G2CtjWu1ABT6jO8zANKR
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b/Nk4wAAAABJRU5ErkJggg==
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)
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jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACfSURBVDhP3VNBDsAgCOvL+BPf4TM8hacwmZnD
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55DEIB13RFOjUSfVZ2a9eL4BYBXpBOX9qe0AAAAASUVORK5CYII=
)
D.
-
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A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEXSURBVEhL1ZSxFYQgDIYzlwXj2LMJNYPYMsgV
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fJE5GXlUSQNg03TDpDgupW/igF4PQPwCrez+m2zHcKEAAAAASUVORK5CYII=
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEWSURBVEhL1ZRBEsUQDEBzLgvH6d5Nuu5BbB3k
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r3ByaAR9/ObGGUhoOysCyuDRFkocmuzrBKDdeAHAdk71Bc6YoCgBay13dgWo9g/3WwJKXfxB5ork
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)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACeSURBVDhP3ZLREQMhCESpjJ5oh2YohVIIoGcg
Xi4/l3xkZ/BG54l7q2AfdCegbAhorHM+NQAhAwCvd0BKjP4cyJAih1EkuZoqHc71C+AwdlYJ5Hih
u4D1YLyQrYYJmeKKLuJ2qEQJKtJ2KGPrsnuI42qH+V0Surqs5meoAGqM5Da7FiC0P5ZQAuG8dXaj
xxzCVL2gUc+jtr941dcBswdgFekEiSLONQAAAABJRU5ErkJggg==
)
D.
-
正方体ABCD-A1B1C1D1的棱长为1,E是A1B1的中点,则E到平面ABC1D1的距离为 ( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE0SURBVEhL1ZY9DsMgDIV9LgaOk52bMHMQVg6S
gaO4mNIA5jdROzRSpaiCz88P/BTAzgMAuPOjrTAC9P7vrv0TgFPZE+Uq0RseOFTXpvAeDC4Za4D3
6IuaTt0FFJu9kQj3WyCCRyPT3XgGSDK8QRk8kCY3BWiP5PBxiaVbOHp4G2CtjWu1ABT6jO8zANKR
Fm3kUlHJW8UYQF5ILDqoZ+EI0klFCYiSr+GqNzfDdGqBIPS8BWZO4xapmHqwAixN3AHsZkEqtpc+
vYRqTLxT+bN2fOU2aT8ClAkkTZUHXFirgCaOJRDPgBLSALxzVcV4lScq1h6w6Vu3wFbwDLwHqPzo
n+ukBZp9hW5xH4YAp9rZ77G6AHK+Ct9gJAvjnJ+cSqa1gzNuZX2MTz3YnKX+B8bu5q/kwQut7P6b
b/Nk4wAAAABJRU5ErkJggg==
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEvSURBVEhL1VTJDcQgDHRdPCgnfzrhTSF8KSQP
SvFicnCZAFpFq0WKRNAwjMcHILMAAGc+ugo9Au6cxf4JgVPJE+UK0WMPvEF5XaJ9MFgaf5MMCbxz
mOCI3kgEae6zIUFjMoXzDQEpWAqhVOBQZa8fhWS30+EtGROM4pZTCsscBAJrbcRqASj0HvdUxvUi
6VUGD+wNjEoOFQ1BMC6PG8P/RVY8tYWXSUVOENPWNFcKpSDYtUAQmg2h11xNsKSC82CaoGfiEkEP
zJ0HtXPTh8OVaVx5NsPyJbdA9hJBPoGq5qnFcUWfJlBoHUUmc01wMjUEowk0VlAjKJwVBe19YNv4
wj1nIZ/IndQ+EHg0sp1A0x44JTEb/93SYhU04yubQEMFTnHN1Q/lpVL+fTMtKPgAkZz+NHVpDlkA
AAAASUVORK5CYII=
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACfSURBVDhP3VNBDsAgCOvL+BPf4TM8hacwmZnD
uc2L2WEmxphgi22BTxYWFpg4gVysx6wUyg6g7KeCWuX884JdpNChbtZTrJVePNg6pzgauzsDdI6w
KFEtMEUoEs+hgoeKTboITSlKUsJUuxcm1KGMvwi6jHD9hfKbWV0/9WmiMBfiku27udhHY5yJhhCd
55DEIB13RFOjUSfVZ2a9eL4BYBXpBOX9qe0AAAAASUVORK5CYII=
)
D.
-
正方体ABCD-A1B1C1D1的棱长为1,E是A1B1的中点,则E到平面ABC1D1的距离为 ( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEXSURBVEhL1ZSxFYQgDIYzlwXj2LMJNYPYMsgV
jJJLAnoBFFGb838vHgfymfwaAHcEAEMh98q10ro4orcAgpU5CRvyZNIAIKDdNtGY1jTjHBAjxjxk
BXsVoBS9uVMCK6I3tz1Qih4NrRn/KwpwmRMZ5jzVAZDqMmBZFhm4CXByHxn3APJKNSD/YsokZXEM
YC8MqgpKD2bayFlogKRM/1OUm1kF4OMmhMl1MmjV3MlZPAKwHgOuiB62GnQ9BCDXB/pXgD6BjC/O
g1otgDtu+9bTCVS3sFYDiCEUT5RPuZPFuQdV99U6BdRnYK0+oPBjXx0A974lG/s6BATb9v6edgHs
fJE5GXlUSQNg03TDpDgupW/igF4PQPwCrez+m2zHcKEAAAAASUVORK5CYII=
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEWSURBVEhL1ZRBEsUQDEBzLgvH6d5Nuu5BbB3k
LxwlX6J+CUrH5vfN6KDxGjoC2AAAphrH8lOQXs7wFoEzPMfNuHMyMhb4A3VaRP3wTh8+jgNDgXcO
r3ByaAR9/ObGGUhoOysCyuDRFkocmuzrBKDdeAHAdk71Bc6YoCgBay13dgWo9g/3WwJKXfxB5ork
TGIWlSAcXL5vGidZEbmFhZRFLuDfFsZlu7ZSCD67QlA7B81SRVIWSwJiWfCE8DF5QPONBfxc4F8F
eQUSl0dSC/IKRLePJK1LcFIJRhVIMj4D2s6TDCTOQPMaJ+4FxXm0uRF4PHRdgSRdgTMa8xrSoymo
yldWgSSVgA4tvzCx9bdyf4gTvF6A+AWRnP40JEvFJwAAAABJRU5ErkJggg==
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACeSURBVDhP3ZLREQMhCESpjJ5oh2YohVIIoGcg
Xi4/l3xkZ/BG54l7q2AfdCegbAhorHM+NQAhAwCvd0BKjP4cyJAih1EkuZoqHc71C+AwdlYJ5Hih
u4D1YLyQrYYJmeKKLuJ2qEQJKtJ2KGPrsnuI42qH+V0Surqs5meoAGqM5Da7FiC0P5ZQAuG8dXaj
xxzCVL2gUc+jtr941dcBswdgFekEiSLONQAAAABJRU5ErkJggg==
)
D.
-
正方体ABCD-A1B1C1D1的棱长为1,E是A1B1的中点,则E到平面ABC1D1的距离为 ( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE0SURBVEhL1ZY9DsMgDIV9LgaOk52bMHMQVg6S
gaO4mNIA5jdROzRSpaiCz88P/BTAzgMAuPOjrTAC9P7vrv0TgFPZE+Uq0RseOFTXpvAeDC4Za4D3
6IuaTt0FFJu9kQj3WyCCRyPT3XgGSDK8QRk8kCY3BWiP5PBxiaVbOHp4G2CtjWu1ABT6jO8zANKR
Fm3kUlHJW8UYQF5ILDqoZ+EI0klFCYiSr+GqNzfDdGqBIPS8BWZO4xapmHqwAixN3AHsZkEqtpc+
vYRqTLxT+bN2fOU2aT8ClAkkTZUHXFirgCaOJRDPgBLSALxzVcV4lScq1h6w6Vu3wFbwDLwHqPzo
n+ukBZp9hW5xH4YAp9rZ77G6AHK+Ct9gJAvjnJ+cSqa1gzNuZX2MTz3YnKX+B8bu5q/kwQut7P6b
b/Nk4wAAAABJRU5ErkJggg==
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEvSURBVEhL1VTJDcQgDHRdPCgnfzrhTSF8KSQP
SvFicnCZAFpFq0WKRNAwjMcHILMAAGc+ugo9Au6cxf4JgVPJE+UK0WMPvEF5XaJ9MFgaf5MMCbxz
mOCI3kgEae6zIUFjMoXzDQEpWAqhVOBQZa8fhWS30+EtGROM4pZTCsscBAJrbcRqASj0HvdUxvUi
6VUGD+wNjEoOFQ1BMC6PG8P/RVY8tYWXSUVOENPWNFcKpSDYtUAQmg2h11xNsKSC82CaoGfiEkEP
zJ0HtXPTh8OVaVx5NsPyJbdA9hJBPoGq5qnFcUWfJlBoHUUmc01wMjUEowk0VlAjKJwVBe19YNv4
wj1nIZ/IndQ+EHg0sp1A0x44JTEb/93SYhU04yubQEMFTnHN1Q/lpVL+fTMtKPgAkZz+NHVpDlkA
AAAASUVORK5CYII=
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACfSURBVDhP3VNBDsAgCOvL+BPf4TM8hacwmZnD
uc2L2WEmxphgi22BTxYWFpg4gVysx6wUyg6g7KeCWuX884JdpNChbtZTrJVePNg6pzgauzsDdI6w
KFEtMEUoEs+hgoeKTboITSlKUsJUuxcm1KGMvwi6jHD9hfKbWV0/9WmiMBfiku27udhHY5yJhhCd
55DEIB13RFOjUSfVZ2a9eL4BYBXpBOX9qe0AAAAASUVORK5CYII=
)
D.
-
正方体ABCD-A1B1C1D1的棱长为1,E是A1B1的中点,则E到平面ABC1D1的距离为 ( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEXSURBVEhL1ZSxFYQgDIYzlwXj2LMJNYPYMsgV
jJJLAnoBFFGb838vHgfymfwaAHcEAEMh98q10ro4orcAgpU5CRvyZNIAIKDdNtGY1jTjHBAjxjxk
BXsVoBS9uVMCK6I3tz1Qih4NrRn/KwpwmRMZ5jzVAZDqMmBZFhm4CXByHxn3APJKNSD/YsokZXEM
YC8MqgpKD2bayFlogKRM/1OUm1kF4OMmhMl1MmjV3MlZPAKwHgOuiB62GnQ9BCDXB/pXgD6BjC/O
g1otgDtu+9bTCVS3sFYDiCEUT5RPuZPFuQdV99U6BdRnYK0+oPBjXx0A974lG/s6BATb9v6edgHs
fJE5GXlUSQNg03TDpDgupW/igF4PQPwCrez+m2zHcKEAAAAASUVORK5CYII=
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAkCAYAAACAGLraAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEWSURBVEhL1ZRBEsUQDEBzLgvH6d5Nuu5BbB3k
LxwlX6J+CUrH5vfN6KDxGjoC2AAAphrH8lOQXs7wFoEzPMfNuHMyMhb4A3VaRP3wTh8+jgNDgXcO
r3ByaAR9/ObGGUhoOysCyuDRFkocmuzrBKDdeAHAdk71Bc6YoCgBay13dgWo9g/3WwJKXfxB5ork
TGIWlSAcXL5vGidZEbmFhZRFLuDfFsZlu7ZSCD67QlA7B81SRVIWSwJiWfCE8DF5QPONBfxc4F8F
eQUSl0dSC/IKRLePJK1LcFIJRhVIMj4D2s6TDCTOQPMaJ+4FxXm0uRF4PHRdgSRdgTMa8xrSoymo
yldWgSSVgA4tvzCx9bdyf4gTvF6A+AWRnP40JEvFJwAAAABJRU5ErkJggg==
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACeSURBVDhP3ZLREQMhCESpjJ5oh2YohVIIoGcg
Xi4/l3xkZ/BG54l7q2AfdCegbAhorHM+NQAhAwCvd0BKjP4cyJAih1EkuZoqHc71C+AwdlYJ5Hih
u4D1YLyQrYYJmeKKLuJ2qEQJKtJ2KGPrsnuI42qH+V0Surqs5meoAGqM5Da7FiC0P5ZQAuG8dXaj
xxzCVL2gUc+jtr941dcBswdgFekEiSLONQAAAABJRU5ErkJggg==
)
D.