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若实数x,y满足x2+y2+xy=1,则x+y的取值范围是 A.B.C.D.
试题详情
若实数x,y满足x
2+y
2+xy=1,则x+y的取值范围是 ( )
A.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAkCAYAAAAeor16AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJpSURBVGhD7ZpNsoMgDMc5lwuP496buPYgbjlI
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ZVlWVlOnbDe91ufkjR/yFHMYS+lyAL1clLmKXB0cQd5zIAIOqye+vTAOENbvbeIGVB7BTkcLXWuk
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dMkAbFh1JqUwBl2XAPeTrvSdGGVMg2oLat1cp0JdkWJCbhVa+3EhJ+RAmoLr0Vy6yPVAlHFNq84o
BdedGHTJADzdnQgmsw/N/Tcxt6AYQFuYb3LC2dqJuoQAvqveN0uDEBdkXe0A+j+v4PzlAdX1mHW1
A0g19EfGPwCJG/UAfAASCRCH/wFZ7bIhwlThfgAAAABJRU5ErkJggg==
)
B.
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jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAKgSURBVGhD7ZpLkoQgDIY5lwuP03tu4tqDuOUg
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zrCzrmaAWinj49LzaMQ4B//zvQ5WWutgnJJ0AHvragZ4CQlIm1KAnrEDTxZ+N4HKrIsMIIAoT2Fw
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1tF/Yv8CRC7UC/AFiCSANP8F7X3cFdAOJEYAAAAASUVORK5CYII=
)
C.
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jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJ4SURBVGhD7ZpLkoMgEIY5lwuPk703ce1B3HKQ
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XZiVuAH+FKAdPufaYKsL9rVVCLaYTMjGEHxLdfEz0E2+X6HF92El+8kdH7bpShNtSQCJvjOARNuo
iw3QWetTXG7qvemn7LM08FQo1ZYCkOpbqosN8CuouG2QAKm2FIBU39VbGIhJlIF7oTED0Vt4ZwzZ
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7yuYeZ6XYMbO+G58Lu9LK12y1eLXSlcA6PzUf76n1s6x0gGdjQ+HbgZzycRXFpbqraqthGTQcYau
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)
D.
相关试题
-
若实数x,y满足x2+y2+xy=1,则x+y的取值范围是 ( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAkCAYAAAAeor16AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAJpSURBVGhD7ZpNsoMgDMc5lwuP496buPYgbjlI
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ZVlWVlOnbDe91ufkjR/yFHMYS+lyAL1clLmKXB0cQd5zIAIOqye+vTAOENbvbeIGVB7BTkcLXWuk
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A0g19EfGPwCJG/UAfAASCRCH/wFZ7bIhwlThfgAAAABJRU5ErkJggg==
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAkCAYAAAAeor16AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAkCAYAAAAeor16AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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pdJYv9O/j6wNIAlcCC5ztjUKdlsmjHuEZzELs3IhFVKx5TBsoSst2dgAscE9x86bbqxcIlhPuuMk
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)
D.
-
若实数x,y满足x2+y2+xy=1,则x+y的取值范围是 ( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAkCAYAAAAeor16AAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAkCAYAAAAeor16AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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Y9EdQMpG9s4niELsrQeCVdS0WZdX6ixAIHpNPWrBTwSY3dzibYM9uq7MhA2/2xMERGX0spF4x6Re
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bsG32RDo6gPQMUx/aofAgDLF6uoG0DXsD0tjRx6pqxPA6+6FChsyY7wuPoD+1ysov3mAhUesiw8g
1tF/Yv8CRC7UC/AFiCSANP8F7X3cFdAOJEYAAAAASUVORK5CYII=
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAkCAYAAAAeor16AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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)
D.
-
已知实数x,y满足x2+y2+2x-2
y=0.
(Ⅰ)求x-
y的取值范围;
(II)当实数a为何值时,不等式x2+y2-a≤0恒成立?
-
已知实数x,y满足x2+y2+2x-2
y=0.
(Ⅰ)求x-
y的取值范围;
(II)当实数a为何值时,不等式x2+y2-a≤0恒成立?
-
若实数x,y满足x2+y2-1=0,则
的取值范围是( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACoAAAAjCAYAAADizJiTAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFgSURBVFhH7ZfrDcMgDISZjJ1Yh2UYhVFcnACF
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W1zT/XsQKENQLkxaGPe5tTX2u8ltQEeBMh10yeLQbzkXJVBooOid1OwHkcSFpAYKATRM9fn4sU74
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QmCC
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAjCAYAAAA9guKMAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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OMgUxEpAbIDQCB7t91ZYRxy3Q6wAk2O9LwprUMG/IJJ0PtsAEkiDonrRALL38bYJjjwcHUO1IjMb
b4v/nGhP8BVFyINAnNVmUyQELDabAiHGf9HUIpYBkb9BTtQImRBMf5BxEi8Evp8wN0HE438WuSaT
Rt0rcQAAAABJRU5ErkJggg==
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACoAAAAjCAYAAADizJiTAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFrSURBVFhH7ZjtjcMgDIaZjJ1Yh2UYhVF8mITW
ypn0NYcOIpWqP1pBePz6s3X0kOUewklfUNxTmaJ3FNL9ieWK5ujJud1Bc6QQ0+6KFpeHSLm8tnZ9
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TC4AAAAASUVORK5CYII=
)
D.
-
如果实数x,y满足x2+y2=1则
的取值范围是________.
-
设实数x,y满足
,则x2+y2的取值范围是________.
-
已知实数 x,y满足
,则 z=x2+y2的取值范围是( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACoAAAAjCAYAAADizJiTAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAF0SURBVFhH7ZbRrcMgDEWZjJ1Yh2UYhVF4dmhD
/DCxLajSVEGK8lEHH67tS125yXI34Sw/Appj8c6XmK/XfaxoCsU5B8+3g24iphIeUFs7CcP0KGqT
E6IfRc2SCR+AorlEjzZUH09M85oeTaG3xB2UAsLxNrNvBwhpsUa7T0MOH0Gu46riHXOOQRdzUQ4Q
YafAqgFspwSt5iWgOSWiYI6eURXvG7gdXwe4BLQr1gGoU94FuB83e6r90PXoJ0v/b+8UaD+2n1uv
sqBvB+Dey/lxaIeT2kRcouj7QPZDIEgtLb++BJTzSwoslN6uDDQ7WIxl4aSTisNA9R2AFiUN06kh
UyQrJA5P3/9MC4j2RBp8ZMgV1gqpVx3L3q5SdpjUhqzPaow8uUL5PyWv/UeGbEyvDed8VTUBY0PW
pp6Pk0FPDXkeQLuDACoZsjbNfNwpqGzI8wDaHYagOkPWppmPY0HVhjyfX72DPEzqrT4b+ICu1vc2
iv4BsOfAueBf27kAAAAASUVORK5CYII=
)
B.[1,2)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADgAAAAkCAYAAADckvn+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAHuSURBVGhD7ZhLsoMgEEVZlwOW45ydOHYhTllI
Bi6ln238gDbxgkJ8VlKVKpNgN4f+XaMIfCmlCHmD5ootU6gnhvuPL3jXP8Cbhjc9gtasNWnsTfGI
0gD7lvQMxddDfeq2vyVkEmBvLbk4fatJ6db77i60SYC7zXO6PhmQI/ioFPUjaMlkjh4iMEJjTE7R
rp46ZL2whAxYYyh3Dz0zg0XArutGsKZSVDWv8VpywqlZYkKcBOyp1avO9GppjOQ7ijsnQ2Px1g6f
c8GigGM3nzXzVDZDBN+AoSZRDzdwFF0nnqFFhOdLVelwtyBuX3DH1iHgq6lIVY2YoqVmnQfoioyh
+g0f8CZ1ogAZgqOIpkkOaC97AJERDRhqMjlgJJsfD5dFxtkIlgIJ+fkEaI3aNbfDCKKDVVqX4zCC
gF49rp4PAa/e5HwQqXZlQO7+cue+NyCooqzRFHpCKw4Y06QQFbVTUBuRkQboPsFHiuukERNQUdxU
9rXvp2o8IDBcUzrgUU1KKuroHv49GvBbT/CpKkoEnMMOPbgKwxU52ZQ1MSoqILbj3UrDNd4KfkdS
DU/m4f9klu0Ehiu+3bIrIwHDw7XstnFvUYCfhivusuxKGPBouJbdNu4NAkSGK+6y7EoIsOyWrvX2
A7z2PMtbe3wE/wDkmDwudqDYEAAAAABJRU5ErkJggg==
)
D.
-
若实数x,y满足方程x2+y2=1,则
的取值范围是( )
A.[-
,
]
B.(-∞,-
]∪[
,+∞)
C.(-∞,-
]∪[
,+∞)
D.[-
,
]
-
实数x,y满足x2+y2-2x-2y+1=0,则
的取值范围为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADcAAAAjCAYAAAAwnJLLAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACoAAAAjCAYAAADizJiTAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFrSURBVFhH7ZjtjcMgDIaZjJ1Yh2UYhVF8mITW
ypn0NYcOIpWqP1pBePz6s3X0kOUewklfUNxTmaJ3FNL9ieWK5ujJud1Bc6QQ0+6KFpeHSLm8tnZ9
Cp5i5rjcGTQFkTwbg6bgagJd3/6QWF3Ls97g+kP6Zt2dVXhttOz87fpWsiqT54Qj7kzHRh1QGHEe
sCBge/sxWoERUI6lZkA99Kl9YGTwLhA0UXCthPCzr5/h+4Y3YqClhDTZj5uwMjJMpRyEQOUmCfqf
ybYcVKuh7TspLARKRtdrF/01DDDQMtl4F0oKtXWfTOtAOc+N5YlhZy5MUZHpskN0e7EVsnrs7Iid
+mwAxfSxK1nC6NXpOKT0CX86KGaO2JV5XH4vDjFNVBV02VDC1eVC2RlKzHpMO/CaS4EZYm6ajphw
JtWnjrcelKcIMc51q8qICNPPKHF6vWMDRbGpbA0oKyh+3AG59P2TbHoYr3H9gBmPAf0BST6SaCtF
TC4AAAAASUVORK5CYII=
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAAAjCAYAAAAkCQwqAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
D.