| The phenomenon of Gamma-Ray Bursts(GRB) is an important discovery in astronomy, which obtained in the 70s of the last century. Upto now, the nature and the origin of GRBs remains a long-stand mystery. Gamma-Ray Bursts, Dark Matters, Black Holes and Active Galactic Nuclei(AGN) are commonly recognized to be "the four major unsolved problems in astronomy".Gamma-Ray Bursts is a strong and transientive course of explosive energy relase. The first dection of GRBs was made occasionally by the former Soviet nuclear monitoring satellites of Vela in 1967. During the past more than 30 years, the subject of GRBs has received consider-able attention, both theoretically and experimentally. More than several hundreds of theoretical modela for GRBs has been proposed to explain GRBs' origin, primary energy source and radia-tion mechanism. Candidate objects for GRBs ranged fronti Fermi-sized cosmic primordial black holes to lOkm-sized accreting neutron stars. The widely differing scenarios of energy relase and 7-ray production mechanism of a GRB was examined in these modela. There is, however, much disagreement on the explanation for GRBs. The consensus beforce the BASTE experiment which aboard on the satellite of CGRO appears to be that the GRBs originate somehow on or near neutron stars. These neutron stars are known to exist in the Galaxy and to be with intense magnetic field. The BASTE experiment imply that GRBs are very common events which being occur frequently in the cosmic space. Many of the models are favored that GRBs should be associated with some advanced subjects of physics, such as dark matter, primordial black hole, gravitational wave and strong interaction. Although a wealth of information about GRBs has been obtained, these informations has proven insufficient to constrain GRB models to reach an acceptable explanation to the phenomenon of GRBs.Because of the brief, transient nature of GRBs, and due to the obvious difficulty in not knowing a priori when and where a GRB will occur, it is diffcult to achieve a pre-waiting and detailed observation. This brings the great diffculty to GRBs' observation and theoretical study.One of the major observation goal is to determine the arrivial direction of a GRB, or the host object of a GRB. This is a key question to the models of GRBs. The amount of relased energy of a GRB can not be estimated accurately without the GRB's distance, and as a consequent, the actual radiation mechanism of GRBs would not be established correctly.The satellite experiments of GRBs are usually to be done with large error in direction measurment because of its small area of the detector. Although the satellite experiment has detected several thousands of GRBs and get rich information about the time structure, energy spectrum and spatial distribution of GRBs, but they can not give clear conclusion for the origin of GRBs. The early observation of GRBs and the latter BASTE experiment both confirmed that the spatial distribution of GRBs is highly isotropy and the curve of logN(>S)-logS shows that the number of weak GRBs rise with their distances. So the cosmological model of GRBs was commonly considered. The information of a counterpart, a GRB-related radiation at other energy band, can provide a part of knowledge about the distance of a GRB. The satelliteexperiment of BeppoSAX has detected the afterglow of some GRBs in energy band of light, radio wave and X-rays. But the lack of observed counterparts at present can provide less help to determine the origin of GRBs.Searches for the UHE(ultra-high energy, >!TeV) GRBs can help determine whether or not the GRBs are distributed cosmologicallv. Because the UHE 7-rays are strongly attenuated by the extragalactic background radiation field of the infrared and 2.7K microwave photons. The UHE detectors of ground-based experiment should be insensitive to the cosmological GRBs. Ground-based experiment and satellite experiment work at different energy region, their data should be examined and supported by each other. The energy of 7-rays in GRBs...
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