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已知平面向量=(1,2sinθ),=(5cosθ,3).(1)若∥,求sin2θ的值;(2...
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已知平面向量
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAKZJREFU
OE/dU8ENwyAM9EjZJ1t4CJbwDh3Ac1hiBy9xNSRNoEFBlfqoiuCD786HbQi3KyOtCbnB0D0hojlh
WR8HjGJhfhakPc3nGb7/hjfFuaV/J5i8migwE5DYpep7lRzKAT4ABokJGOBRCVW5ixYBhvq1rQRX
MIWFNlbuWDHAg1wZ3Elt9vq7U416O5t3omLHEXvw6GqpqU6YO0kjwvQH9YAfHL4nsnDA6oII0T0A
AAAASUVORK5CYII=
)
=(1,2sinθ),
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALFJREFU
OE+tU20NxCAMRdL8zEVFYAIPJ6A6SPCAiXd0MMKNj26XkewX77MdBssTYHeL0GDMmpBug8W2fyrM
pAP922CLzXOH9ztcFPVIM4J3pbzzy5Q/DpEJCh4NIYLJYa2PhhAZpMmnsNUhx/Fw5yKJEQdtCkHi
SOkzUiaODDOhi5MFpoR+OuJA4EGm5NBPRwTMZADmGucA1y5966ND3bJM6Mmm1cfU7uEOWDD//613
Hb5HpsB0tmhR7AAAAABJRU5ErkJggg==
)
=(5cosθ,3).
(1)若
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAKZJREFU
OE/dU8ENwyAM9EjZJ1t4CJbwDh3Ac1hiBy9xNSRNoEFBlfqoiuCD786HbQi3KyOtCbnB0D0hojlh
WR8HjGJhfhakPc3nGb7/hjfFuaV/J5i8migwE5DYpep7lRzKAT4ABokJGOBRCVW5ixYBhvq1rQRX
MIWFNlbuWDHAg1wZ3Elt9vq7U416O5t3omLHEXvw6GqpqU6YO0kjwvQH9YAfHL4nsnDA6oII0T0A
AAAASUVORK5CYII=
)
∥
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALFJREFU
OE+tU20NxCAMRdL8zEVFYAIPJ6A6SPCAiXd0MMKNj26XkewX77MdBssTYHeL0GDMmpBug8W2fyrM
pAP922CLzXOH9ztcFPVIM4J3pbzzy5Q/DpEJCh4NIYLJYa2PhhAZpMmnsNUhx/Fw5yKJEQdtCkHi
SOkzUiaODDOhi5MFpoR+OuJA4EGm5NBPRwTMZADmGucA1y5966ND3bJM6Mmm1cfU7uEOWDD//613
Hb5HpsB0tmhR7AAAAABJRU5ErkJggg==
)
,求sin2θ的值;
(2)若
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAKZJREFU
OE/dU8ENwyAM9EjZJ1t4CJbwDh3Ac1hiBy9xNSRNoEFBlfqoiuCD786HbQi3KyOtCbnB0D0hojlh
WR8HjGJhfhakPc3nGb7/hjfFuaV/J5i8migwE5DYpep7lRzKAT4ABokJGOBRCVW5ixYBhvq1rQRX
MIWFNlbuWDHAg1wZ3Elt9vq7U416O5t3omLHEXvw6GqpqU6YO0kjwvQH9YAfHL4nsnDA6oII0T0A
AAAASUVORK5CYII=
)
⊥
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALFJREFU
OE+tU20NxCAMRdL8zEVFYAIPJ6A6SPCAiXd0MMKNj26XkewX77MdBssTYHeL0GDMmpBug8W2fyrM
pAP922CLzXOH9ztcFPVIM4J3pbzzy5Q/DpEJCh4NIYLJYa2PhhAZpMmnsNUhx/Fw5yKJEQdtCkHi
SOkzUiaODDOhi5MFpoR+OuJA4EGm5NBPRwTMZADmGucA1y5966ND3bJM6Mmm1cfU7uEOWDD//613
Hb5HpsB0tmhR7AAAAABJRU5ErkJggg==
)
,求tan(θ+
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALtJREFU
OE/FU9sNxDAI41ZmHTZhDqZgCQokae/aPPqVQ6oUpZZtwPmYF6wqQKuCFSCVtoPECCA6fHzImm5A
iEz8oEyWd8qGyFZ+lzqNC2EBCRn0QWqMhTFBlKcbU0hAk8UeKFjcdJVQdlA9C3P1lCxgrZM0Xjtt
qvsnvl5xxK27knb/n6h8Gy/Tv63uN765Em9kDPJ1EMuMyWUogjaROwM3BHnILg8DJqH5I+hM/MUI
/Kms5/QS1I/N5vgewqNM6H48HpEAAAAASUVORK5CYII=
)
)的值.
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